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An Overview of Finite/Fixed-Time Control and Its Application in Engineering Systems 被引量:16
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作者 Yang Liu Hongyi Li +2 位作者 Zongyu Zuo Xiaodi Li Renquan Lu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2022年第12期2106-2120,共15页
The finite/fixed-time stabilization and tracking control is currently a hot field in various systems since the faster convergence can be obtained. By contrast to the asymptotic stability,the finite-time stability poss... The finite/fixed-time stabilization and tracking control is currently a hot field in various systems since the faster convergence can be obtained. By contrast to the asymptotic stability,the finite-time stability possesses the better control performance and disturbance rejection property. Different from the finite-time stability, the fixed-time stability has a faster convergence speed and the upper bound of the settling time can be estimated. Moreover, the convergent time does not rely on the initial information.This work aims at presenting an overview of the finite/fixed-time stabilization and tracking control and its applications in engineering systems. Firstly, several fundamental definitions on the finite/fixed-time stability are recalled. Then, the research results on the finite/fixed-time stabilization and tracking control are reviewed in detail and categorized via diverse input signal structures and engineering applications. Finally, some challenging problems needed to be solved are presented. 展开更多
关键词 adding a power integrator finite/fixed-time control and application homogeneous theory sliding mode control
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Controller Design of High Order Nonholonomic System with Nonlinear Drifts 被引量:2
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作者 Xiu-Yun Zheng Yu-Qiang Wu 《International Journal of Automation and computing》 EI 2009年第3期240-244,共5页
A controller design is proposed for a class of high order nonholonomic systems with nonlinear drifts. The purpose is to ensure a solution for the closed-loop system regulated to zero. Adding a power integrator backste... A controller design is proposed for a class of high order nonholonomic systems with nonlinear drifts. The purpose is to ensure a solution for the closed-loop system regulated to zero. Adding a power integrator backstepping technique and the switching control strategy are employed to design the controller. The state scaling is applied to the recursive manipulation. The simulation example demonstrates the effectiveness and robust features of the proposed method. 展开更多
关键词 Nonholonomic systems globally asymptotic stability adding a power integrator backstepping.
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STATE-FEEDBACK ADAPTIVE STABILIZING CONTROL DESIGN FOR A CLASS OF HIGH-ORDER NONLINEAR SYSTEMS WITH UNKNOWN CONTROL COEFFICIENTS 被引量:3
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作者 Zongyao SUN Yungang LIU 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2007年第3期350-361,共12页
In this paper, a new approach is successfully addressed to design the state-feedback adaptive stabilizing control law for a class of high-order nonlinear systems in triangular form and with unknown and nonidentical co... In this paper, a new approach is successfully addressed to design the state-feedback adaptive stabilizing control law for a class of high-order nonlinear systems in triangular form and with unknown and nonidentical control coefficients, whose stabilizing control has been investigated recently under the knowledge that the lower bounds of the control coefficients are exactly known. In the present paper, without any knowledge of the lower bounds of the control coefficients, based on the adaptive technique and appropriately choosing design parameters, we give the recursive design procedure of the stabilizing control law by utilizing the approach of adding a power integrator together with tuning functions. The state-feedback adaptive control law designed not only preserves the equilibrium at the origin, but also guarantees the global asymptotic stability of the closed-loop states and the uniform boundedness of all the other closed-loop signals. 展开更多
关键词 adaptive stabilizing control adding a power integrator high-order nonlinear systems state-feedback unknown control coefficients.
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A Continuous State Feedback Controller Design for High-order Nonlinear Systems with Polynomial Growth Nonlinearities 被引量:2
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作者 Guo-Dong Zhao Na Duan 《International Journal of Automation and computing》 EI CSCD 2013年第4期267-274,共8页
In this paper, we investigate the problem of global stabilization for a general class of high-order and non-smoothly stabilizable nonlinear systems with both lower-order and higher-order growth conditions. The designe... In this paper, we investigate the problem of global stabilization for a general class of high-order and non-smoothly stabilizable nonlinear systems with both lower-order and higher-order growth conditions. The designed continuous state feedback controller is recursively constructed to guarantee the global strong stabilization of the closed-loop system. 展开更多
关键词 Nonlinear systems lower-order and high-order nonlinearities state feedback adding a power integrator global strong stabilization.
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THE FURTHER RESULT ON GLOBAL PRACTICAL TRACKING FOR HIGH-ORDER UNCERTAIN NONLINEAR SYSTEMS 被引量:1
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作者 Xuehua YAN Yungang LIU 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2012年第2期227-237,共11页
This paper extends the unknown control coefficients with lower and upper constant bounds to the ones which may take arbitrarily large and /or small values.Since the existing methods are no longer applicable and the te... This paper extends the unknown control coefficients with lower and upper constant bounds to the ones which may take arbitrarily large and /or small values.Since the existing methods are no longer applicable and the technical obstacles caused by the extensions are essential,new control design scheme should be exploited to the global practical tracking.By the approaches of Nussbaum-gain and adding a power integrator,the authors successfully propose the design scheme of the adaptive practical tracking controller for the systems.It is shown that the designed controller guarantees that all the closed-loop system states are bounded and the tracking error becomes prescribed arbitrarily small after a finite time. 展开更多
关键词 adaptive control adding a power integrator global practical tracking Nussbaum-gain uncertain nonlinear systems unknown control directions.
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ADAPTIVE PRACTICAL OUTPUT MANEUVERING CONTROL FOR A CLASS OF NONLINEAR SYSTEMS 被引量:1
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作者 Chunling WEI Yuqiang WU Shumin FEI 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2007年第1期75-84,共10页
This paper deals with the adaptive practical output maneuvering control problems for a class of nonlinear systems with uncontrollable unstable linearization. The objective is to design a smooth adaptive maneuvering co... This paper deals with the adaptive practical output maneuvering control problems for a class of nonlinear systems with uncontrollable unstable linearization. The objective is to design a smooth adaptive maneuvering controller to solve the geometric and dynamic tasks with an arbitrary small steady tracking error. The method of adding a power integrator and the robust recursive design technique are employed to force the system output to track a desired path and make the tracking speed to follow a desired speed along the path. An example is considered and simulation results are given. The proposed design procedure can be illustrated by the use of this example. 展开更多
关键词 adaptive output maneuvering control adding a power integrator method practical output tracking recursive design technique.
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Continuous output-feedback stabilization for a class of stochastic high-order nonlinear systems
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作者 Jian ZHANG Yungang LIU 《控制理论与应用(英文版)》 EI CSCD 2013年第3期343-350,共8页
This paper is concerned with the global stabilization via output-feedback for a class of high-order stochastic nonlinear systems with unmeasurable states dependent growth and uncertain control coefficients. Indeed, th... This paper is concerned with the global stabilization via output-feedback for a class of high-order stochastic nonlinear systems with unmeasurable states dependent growth and uncertain control coefficients. Indeed, there have been abundant deterministic results which recently inspired the intense investigation for their stochastic analogous. However, because of the possibility of non-unique solutions to the systems, there lack basic concepts and theorems for the problem under investigation. First of all, two stochastic stability concepts are generalized to allow the stochastic systems with more than one solution, and a key theorem is given to provide the sufficient conditions for the stochastic stabilities in a weaker sense. Then, by introducing the suitable reduced order observer and appropriate control Lyapunov functions, and by using the method of adding a power integrator, a continuous (nonsmooth) output-feedback controller is successfully designed, which guarantees that the closed-loop system is globally asymptotically stable in probability. 展开更多
关键词 Stochastic nonlinear systems Uncertain control coefficients Nonsmooth stabilization Output-feedback control adding a power integrator
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