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Design and analysis of active disturbance rejection control for time-delay systems using frequency-sweeping
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作者 WANG Yongshuai CHEN Zengqiang +1 位作者 SUN Mingwei SUN Qinglin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2023年第2期479-491,共13页
For the typical first-order systems with time-delay,this paper explors the control capability of linear active disturbance rejection control(LADRC).Firstly,the critical time-delay of LADRC is analyzed using the freque... For the typical first-order systems with time-delay,this paper explors the control capability of linear active disturbance rejection control(LADRC).Firstly,the critical time-delay of LADRC is analyzed using the frequency-sweeping method and the Routh criterion,and the stable time-delay interval starting from zero is accurately obtained,which reveals the limitations of general LADRC on large time-delay.Then in view of the large time-delay,an LADRC controller is developed and verified to be effective,along with the robustness analysis.Finally,numerical simulations show the accuracy of critical time-delay,and demonstrate the effectiveness and robustness of the proposed controller compared with other modified LADRCs. 展开更多
关键词 active disturbance rejection control frequencysweeping method critical time-delay Routh criterion system with large time-delay
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PD-type iterative learning control for nonlinear time-delay system with external disturbance 被引量:12
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作者 Zhang Baolin Tang Gongyou Zheng Shi 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第3期600-605,共6页
The PD-type iterative learning control design of a class of affine nonlinear time-delay systems with external disturbances is considered. Sufficient conditions guaranteeing the convergence of the n-norm of the trackin... The PD-type iterative learning control design of a class of affine nonlinear time-delay systems with external disturbances is considered. Sufficient conditions guaranteeing the convergence of the n-norm of the tracking error are derived. It is shown that the system outputs can be guaranteed to converge to desired trajectories in the absence of external disturbances and output measurement noises. And in the presence of state disturbances and measurement noises, the tracking error will be bounded uniformly. A numerical simulation example is presented to validate the effectiveness of the proposed scheme. 展开更多
关键词 time-delay system nonlinear system iterative learning control CONVERGENCE external disturbance.
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Novel Stability Criteria for Linear Time-Delay Systems Using Lyapunov-Krasovskii Functionals With A Cubic Polynomial on Time-Varying Delay 被引量:9
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作者 Xian-Ming Zhang Qing-Long Han Xiaohua Ge 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2021年第1期77-85,共9页
One of challenging issues on stability analysis of time-delay systems is how to obtain a stability criterion from a matrix-valued polynomial on a time-varying delay.The first contribution of this paper is to establish... One of challenging issues on stability analysis of time-delay systems is how to obtain a stability criterion from a matrix-valued polynomial on a time-varying delay.The first contribution of this paper is to establish a necessary and sufficient condition on a matrix-valued polynomial inequality over a certain closed interval.The degree of such a matrix-valued polynomial can be an arbitrary finite positive integer.The second contribution of this paper is to introduce a novel LyapunovKrasovskii functional,which includes a cubic polynomial on a time-varying delay,in stability analysis of time-delay systems.Based on the novel Lyapunov-Krasovskii functional and the necessary and sufficient condition on matrix-valued polynomial inequalities,two stability criteria are derived for two cases of the time-varying delay.A well-studied numerical example is given to show that the proposed stability criteria are of less conservativeness than some existing ones. 展开更多
关键词 Bessel-Legendre inequality matrix-valued polynomial inequalities stability time-varying delay time-delay systems
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An Improved Approach to Delay-dependent Robust Stabilization for Uncertain Singular Time-delay Systems 被引量:7
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作者 Xin Sun Qing-Ling Zhang +2 位作者 Chun-Yu Yang Zhan Su Yong-Yun Shao 《International Journal of Automation and computing》 EI 2010年第2期205-212,共8页
In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissi... In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissibility for singular time-delay systems is proposed in terms of linear matrix inequality (LMI). Our new proposed criterion is less conservative and the numerical complexity is smaller than the existing ones. Based on this criterion, a state feedback controller is designed to ensure that the uncertain singular time-delay system is admissible. Finally, three numerical examples are employed to illustrate the effectiveness of the proposed method. 展开更多
关键词 DELAY-DEPENDENT singular time-delay systems ADMISSIBLE robust stabilization.
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Adaptive neural network tracking control for a class of unknown nonlinear time-delay systems 被引量:5
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作者 Chen Weisheng Li Junmin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第3期611-618,共8页
For a class of unknown nonlinear time-delay systems, an adaptive neural network (NN) control design approach is proposed. Backstepping, domination and adaptive bounding design technique are combined to construct a r... For a class of unknown nonlinear time-delay systems, an adaptive neural network (NN) control design approach is proposed. Backstepping, domination and adaptive bounding design technique are combined to construct a robust memoryless adaptive NN tracking controller. Unknown time-delay functions are approximated by NNs, such that the requirement on the nonlinear time-delay functions is relaxed. Based on Lyapunov-Krasoviskii functional, the sem-global uniformly ultimately boundedness (UUB) of all the signals in the closed-loop system is proved. The arbitrary output tracking accuracy is achieved by tuning the design parameters. The feasibility is investigated by an illustrative simulation example. 展开更多
关键词 nonlinear time-delay system neural network adaptive bounding technique memoryless adaptive NN controller.
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Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems 被引量:5
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作者 Jidong Wang Zhanshan Wang +1 位作者 Sanbo Ding Huaguang Zhang 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2018年第3期758-764,共7页
This paper investigates the stability of time-delay systems via a multiple integral approach. Based on the refined Jensen-based inequality, a novel multiple integral inequality is proposed. Applying the multiple integ... This paper investigates the stability of time-delay systems via a multiple integral approach. Based on the refined Jensen-based inequality, a novel multiple integral inequality is proposed. Applying the multiple integral inequality to estimate the derivative of Lyapunov-Krasovskii functional(LKF) with multiple integral terms, a novel stability condition is formulated for the linear time-delay systems. Two numerical examples are employed to demonstrate the improvements of our results. 展开更多
关键词 Multiple integral approach refined Jensen-based multiple integral inequality(RJMII) stability analysis time-delay systems
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New delay-dependent robust stability and stabilization for uncertain T-S fuzzy time-delay systems under imperfect premise matching 被引量:4
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作者 张泽健 黄显林 +1 位作者 班晓军 高晓智 《Journal of Central South University》 SCIE EI CAS 2012年第12期3415-3423,共9页
To alleviate the conservativeness of the stability criterion for Takagi-Sugeno (T-S) fuzzy time-delay systems, a new delay-dependent stability criterion was proposed by introducing a new augmented Lyapunov function ... To alleviate the conservativeness of the stability criterion for Takagi-Sugeno (T-S) fuzzy time-delay systems, a new delay-dependent stability criterion was proposed by introducing a new augmented Lyapunov function with an additional triple-integral term, which was firstly u3ed to derive the stability criterion for T-S fuzzy time-delay systems. By the same approach, the robust stability issue for fuzzy time-delay systems with uncertain parameters was also considered. On the other hand, in order to enhance the design flexibility, a new design approach for uncertain fuzzy time-delay systems under imperfect premise matching was also proposed, which allows the fuzzy controller to employ different membership functions from the fuzzy time-delay model. By the numerical examples, the proposed stability conditions are less conservative in the sense of getting larger allowable time-delay and obtaining smaller feedback control gains. For instance, when the allowable time-delay increases from 7.3 s to 12 s for an uncertain T-S fuzzy control system with time-delay, the norm of the feedback gains decreases from (34.299 2, 38.560 3) to (10.073 3, 11.349 0), respectively. Meanwhile, the effectiveness of the proposed design method was illustrated by the last example with the robustly stable curves of system state under the initial condition of x(0) = [3 -1]. 展开更多
关键词 T-S fuzzy systems time-delay systems imperfect premise matching stability robust stability linear matrix inequality(LMI) STABILIZATION
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Design of H_∞ robust fault detection filter for nonlinear time-delay systems 被引量:4
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作者 BAI Lei-shi HE Li-ming +1 位作者 TIAN Zuo-hua SHI Song-jiao 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2006年第10期1733-1741,共9页
In this paper, the robust fault detection filter (RFDF) design problems are studied for nonlinear time-delay systems with unknown inputs. First, a reference residual model is introduced to formulate the RFDF design pr... In this paper, the robust fault detection filter (RFDF) design problems are studied for nonlinear time-delay systems with unknown inputs. First, a reference residual model is introduced to formulate the RFDF design problem as an H∞ model-matching problem. Then appropriate input/output selection matrices are introduced to extend a performance index to the time-delay systems in time domain. The reference residual model designed according to the performance index is an optimal residual generator, which takes into account the robustness against disturbances and sensitivity to faults simultaneously. Applying robust H∞ optimization control technique, the existence conditions of the RFDF for nonlinear time-delay systems with unknown inputs are presented in terms of linear matrix inequality (LMI) formulation, independently of time delay. An illustrative design example is used to demonstrate the validity and applicability of the proposed approach. 展开更多
关键词 Nonlinear time-delay systems Robust fault detection filter iRFDF H∞ optimization Linear matrix inequality (LMI)
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Observer design and output feedback stabilization for linear singular time-delay systems with unknown inputs 被引量:4
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作者 Peng CUI Chenghui ZHANG 《控制理论与应用(英文版)》 EI 2008年第2期177-183,共7页
The design of a functional observer and reduced-order observer with internal delay for linear singular timedelay systems with unknown inputs is discussed. The sufficient conditions of the existence of observers, which... The design of a functional observer and reduced-order observer with internal delay for linear singular timedelay systems with unknown inputs is discussed. The sufficient conditions of the existence of observers, which are normal linear time-delay systems, and the corresponding design steps are presented via linear matrix inequality(LMI). Moreover, the observer-based feedback stabilizing controller is obtained. Three examples are given to show the effectiveness of the proposed methods. 展开更多
关键词 Singular time-delay systems Functional observer Reduced-order observer Output feedback stabilization Linear matrix inequality(LMI)
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On Delay-independent Stability Criteria for Linear Time-delay Systems 被引量:4
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作者 Ai-Guo Wu Guang-Ren Duan 《International Journal of Automation and computing》 EI 2007年第1期95-100,共6页
Several LMI representations for delay-independence stability are proposed by applying Projection Lemma and the socalled "Small Scalar Method". These criteria realize the elimination of the products coupling the syst... Several LMI representations for delay-independence stability are proposed by applying Projection Lemma and the socalled "Small Scalar Method". These criteria realize the elimination of the products coupling the system matrices and Lyapunov matrices by introducing some additional matrices. When they are applied to robust stability analysis for polytopic uncertain systems, the vertex-dependent Lyapunov functions are allowed, so less conservative results can be obtained. A numerical example is employed to illustrate the effect of these proposed criteria. 展开更多
关键词 Linear time-delay systems DELAY-INDEPENDENT Small Scalar Method conservativeness.
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2-D algebraic test for robust stability of time-delay systems with interval parameters 被引量:4
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作者 Xiao Yang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第4期802-810,共9页
The robust stability test of time-delay systems with interval parameters can be concluded into the robust stability of the interval quasipolynomials. It has been revealed that the robust stability of the quasipolynomi... The robust stability test of time-delay systems with interval parameters can be concluded into the robust stability of the interval quasipolynomials. It has been revealed that the robust stability of the quasipolynomials depends on that of their edge polynomials. This paper transforms the interval quasipolynomials into two-dimensional (2-D) interval polynomials (2-D s-z hybrid polynomials), proves that the robust stability of interval 2-D polynomials are sufficient for the stability of given quasipolynomials. Thus, the stability test of interval quasipolynomials can be completed in 2-D s-z domain instead of classical 1-D s domain. The 2-D s-z hybrid polynomials should have different forms under the time delay properties of given quasipolynomials. The stability test proposed by the paper constructs an edge test set from Kharitonov vertex polynomials to reduce the number of testing edge polynomials. The 2-D algebraic tests are provided for the stability test of vertex 2-D polynomials and edge 2-D polynomials family. To verify the results of the paper to be correct and valid, the simulations based on proposed results and comparison with other presented results are given. 展开更多
关键词 automatic control theory time-delay systems robust stability 2-D algebraic test.
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Adaptive Iterative Learning Control for Nonlinear Time-delay Systems with Periodic Disturbances Using FSE-neural Network 被引量:4
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作者 Chun-Li Zhang Jun-Min Li 《International Journal of Automation and computing》 EI 2011年第4期403-410,共8页
An adaptive iterative learning control scheme is presented for a class of strict-feedback nonlinear time-delay systems, with unknown nonlinearly parameterised and time-varying disturbed functions of known periods. Rad... An adaptive iterative learning control scheme is presented for a class of strict-feedback nonlinear time-delay systems, with unknown nonlinearly parameterised and time-varying disturbed functions of known periods. Radial basis function neural network and Fourier series expansion (FSE) are combined into a new function approximator to model each suitable disturbed function in systems. The requirement of the traditional iterative learning control algorithm on the nonlinear functions (such as global Lipschitz condition) is relaxed. Furthermore, by using appropriate Lyapunov-Krasovskii functionals, all signs in the closed loop system are guaranteed to be semiglobally uniformly ultimately bounded, and the output of the system is proved to converge to the desired trajectory. A simulation example is provided to illustrate the effectiveness of the control scheme. 展开更多
关键词 Adaptive control iterative learning control (ILC) time-delay systems Fourier series expansion-neural network periodic disturbances.
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On the order of stable compensators for a class of time-delay system 被引量:3
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作者 HanlinHE ZhongshengWANG XiaoXinLIAO 《控制理论与应用(英文版)》 EI 2004年第1期85-88,共4页
The stabilization using a stable compensator does not introduce additional unstable zeros into the closed-loop transfer function beyond those of the original plant, so it is a desirable compensator, the price is that ... The stabilization using a stable compensator does not introduce additional unstable zeros into the closed-loop transfer function beyond those of the original plant, so it is a desirable compensator, the price is that the compensator’s order will go up. This note considered the order of stable compensators for a class of time-delay systems. First, it is shown that for single-loop plants with at most one real right-half plane zero, a special upper bound for the minimal order of a strongly stabilizing compensator can be obtained in terms of the plant order; Second, it is shown that approximate unstable pole-zero cancellation does not occur, and the distances between distinct unstable zeroes are bounded below by a positive constant, then it is possible to find an upper bound for the minimal order of a strongly stabilizing compensator. 展开更多
关键词 STABILIZATION Strong stabilization time-delay system INTERPOLATION
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Design of unknown input observer with H_∞ performance for linear time-delay systems 被引量:3
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作者 Fu Yanming Wu Di Zhang Peng Duan Guangren 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第3期606-610,共5页
A unknown input observer (UIO) design for a class of linear time-delay systems when the observer error can't completely decouple from unknown input is dealt with. A sufficient condition to its existence is presente... A unknown input observer (UIO) design for a class of linear time-delay systems when the observer error can't completely decouple from unknown input is dealt with. A sufficient condition to its existence is presented based on Lyapunov stability method. Design problem of the proposed observer is formulated in term of linear matrix inequalities. Two design problems of the observer with internal delay and without internal delay are formulated. Based on H∞ control theory in time-delay systems, the proposed observer is designed in term of linear matrix inequalities (LMI). A design algorithm is proposed. The effective of the proposed approach is illustrated by a numerical example. 展开更多
关键词 unknown input observer time-delay systems linear matrix inequalities.
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Nonfragile guaranteed cost control for Delta operator-formulated uncertain time-delay systems 被引量:2
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作者 Ruiquan LIN, Silian CHEN, Xuwei DING (College of Electrical Engineering and Automation, Fuzhou University, Fuzhou Fujian 350108, China) 《控制理论与应用(英文版)》 EI 2010年第2期233-238,共6页
With consideration that the controller parameters may vary from the designed value when the controller is realized, based on Lyapunov stability theory, a design method of nonfragile guaranteed cost control for a class... With consideration that the controller parameters may vary from the designed value when the controller is realized, based on Lyapunov stability theory, a design method of nonfragile guaranteed cost control for a class of Delta operator-formulated uncertain time-delay systems is studied. A sufficient condition for the existence of the nonfragile guaranteed cost controller is given. A numeric example is then given to illustrate the effectiveness and the feasibility of the designed method. The results show that even if the parameters of the designed controller are of variations, the closed-loop system is still asymptotically stable and the super value of the cost function can also be obtained, while the closed-loop system will be unstable if the variations of the controller parameters are not considered when the controller is designed. The nonfragile guaranteed cost controller derived from the traditional shift operator method may cause the closed-loop system to be unstable, while the nonfragile guaranteed cost controller based on Delta operator method can avoid the unstable problem of the closed-loop system. 展开更多
关键词 Delta operator time-delay system Nonfragile control Guaranteed cost control LMI
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Integral sliding mode control of time-delay systems with mismatching uncertainties 被引量:3
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作者 Fu Zhao Yu Liu Xiuming Yao Baoku Su 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第2期273-280,共8页
A linear matrix inequality (LMI)-based sliding surface design method for integral sliding mode control of uncertain time- delay systems with mismatching uncertainties is proposed. The uncertain time-delay system und... A linear matrix inequality (LMI)-based sliding surface design method for integral sliding mode control of uncertain time- delay systems with mismatching uncertainties is proposed. The uncertain time-delay system under consideration may have mis- matching norm bounded uncertainties in the state matrix as well as the input matrix, A sufficient condition for the existence of a sliding surface is given to guarantee asymptotic stability of the full order slJdJng mode dynamics. An LMI characterization of the slid- ing surface is given, together with an integral sliding mode control law guaranteeing the existence of a sliding mode from the initial time. Finally, a simulation is given to show the effectiveness of the proposed method. 展开更多
关键词 linear matrix inequality integral sliding mode control uncertain time-delay systems mismatching uncertainties.
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Feedback iterative learning control for time-delay systems based on 2D analysis approach 被引量:3
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作者 Deyuan MENG Yingmin JIA +1 位作者 Junping DU Shiying YUAN 《控制理论与应用(英文版)》 EI 2010年第4期457-463,共7页
This paper deals with the iterative learning control (ILC) design for multiple-input multiple-output (MIMO),time-delay systems (TDS).Two feedback ILC schemes are considered using the so-called two-dimensional ... This paper deals with the iterative learning control (ILC) design for multiple-input multiple-output (MIMO),time-delay systems (TDS).Two feedback ILC schemes are considered using the so-called two-dimensional (2D) analysis approach.It shows that continuous-discrete 2D Roesser systems can be developed to describe the entire learning dynamics of both ILC schemes,based on which necessary and sufficient conditions for their stability can be provided.A numerical example is included to validate the theoretical analysis. 展开更多
关键词 Iterative learning control time-delay systems 2D analysis approach
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Backstepping tracking control for nonlinear time-delay systems 被引量:2
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作者 Chen Weisheng Li Junmin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第4期846-852,共7页
Two design approaches of state feedback and output feedback tracking controllers are proposed for a class of strict feedback nonlinear time-delay systems by using backstepping technique. When the states of system cann... Two design approaches of state feedback and output feedback tracking controllers are proposed for a class of strict feedback nonlinear time-delay systems by using backstepping technique. When the states of system cannot be observed, the time-delay state observer is designed to estimate the system states. Domination method is used to deal with nonlinear time-delay function under the assumption that the nonlinear time-delay functions of systems satisfy Lipschitz condition. The global asymptotical tracking of the reference signal is achieved and the bound of all signals of the resultant closed-loop system is also guaranteed. By constructing a Lyapunov-Krasoviskii functional, the stability of the closed-loop system is proved. The feasibility of the proposed approach is illustrated by a simulation example. 展开更多
关键词 nonlinear time-delay systems tracking control Lyapunov-Krasoviskii function backstepping.
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New type of adaptive control for a class of distributed time-delay systems with adaptation regard to delay parameter 被引量:1
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作者 Lin Chai1, 2, Shumin Fei1, 2, Haiyan Jin1, 2, Ruimin Wang1, 2, and Yanhong Li1, 2 1. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Southeast University, Nanjing 210096, P. R. China 2. School of Automation, Southeast University, Nanjing 210096, P. R. China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第6期1054-1062,共9页
The problem on stabilization for the system with distributed delays is researched. The distributed time-delay under consideration is assumed to be a constant time-delay, but not known exactly. A design method is propo... The problem on stabilization for the system with distributed delays is researched. The distributed time-delay under consideration is assumed to be a constant time-delay, but not known exactly. A design method is proposed for a memory proportional and integral (PI) feedback controller with adaptation to distributed time-delay. The feedback controller with memory simultaneously contains the current state and the past distributed information of the addressed systems. The design for adaptation law to distributed delay is very concise. The controller can be derived by solving a set of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the design method. 展开更多
关键词 distributed delay linear matrix inequality (LMI) adaptive control time-delay systems memory PI feedback.
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Robust H_∞ controller design for a class of nonlinear fuzzy time-delay systems 被引量:1
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作者 Wang Miaoxin Liu Jizhen +1 位作者 Liu Xiangjie Liu Juncheng 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第6期1286-1289,共4页
The problem of fuzzy modeling for state and input time-delays systems with a class of nonlinear uncertainties by fuzzy T-S model is addressed.By using the linear matrix inequality(LMI) method, the problem of fuzzy r... The problem of fuzzy modeling for state and input time-delays systems with a class of nonlinear uncertainties by fuzzy T-S model is addressed.By using the linear matrix inequality(LMI) method, the problem of fuzzy robust H ∞ controller design for the system is studied.Assuming that the nonlinear uncertain functions in the model considered are gain-bounded, a sufficient condition for the robustly asymptotic stability of the closed-loop system is obtained via Lyapunov stability theory.By solving the LMI, a feedback control law which guarantees the robustly asymptotic stability of the closed-loop system is constructed and the effect of the disturbance input on the controlled output is ruduced to a prescribed level. 展开更多
关键词 fuzzy control robust H∞ control nonlinear uncertainty fuzzy time-delay systems linear matrixinequality.
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