A new design scheme of stable adaptive fuzzy control for a class of nonlinear systems is proposed in this paper.The T-S fuzzy model is employed to represent the systems.First,the concept of the so-called parallel dist...A new design scheme of stable adaptive fuzzy control for a class of nonlinear systems is proposed in this paper.The T-S fuzzy model is employed to represent the systems.First,the concept of the so-called parallel distributed compensation （PDC） and linear matrix inequality （LMI） approach are employed to design the state feedback controller without considering the error caused by fuzzy modeling.Sufficient conditions with respect to decay rate α are derived in the sense of Lyapunov asymptotic stability.Finally,the error caused by fuzzy modeling is considered and the input-to-state stable （ISS） method is used to design the adaptive compensation term to reduce the effect of the modeling error.By the small-gain theorem,the resulting closed-loop system is proved to be input-to-state stable.Theoretical analysis verifies that the state converges to zero and all signals of the closed-loop systems are bounded.The effectiveness of the proposed controller design methodology is demonstrated through numerical simulation on the chaotic Henon system.展开更多
Based on the small-gain theorem, the anti-synchronization between two identical new hyperchaotic systems is investigated, moreover, the general sufficient conditions to achieve anti-synchronization between the new hyp...Based on the small-gain theorem, the anti-synchronization between two identical new hyperchaotic systems is investigated, moreover, the general sufficient conditions to achieve anti-synchronization between the new hyperchaotic system and the new hyperchaotic Lorenz system are obtained via small-gain theorem. Numerical simulations are performed to verify and illustrate the analytical results.展开更多
This paper develops a large-scale small-gain result for dynamic networks composed of infinite-dimensional subsystems. It is assumed that the subsystems are input-to-output stable（IOS）and unboundedness observable（UO...This paper develops a large-scale small-gain result for dynamic networks composed of infinite-dimensional subsystems. It is assumed that the subsystems are input-to-output stable（IOS）and unboundedness observable（UO）, and the large-scale infinite-dimensional system can be proved to be IOS and UO if the proposed small-gain condition is satisfied.展开更多
This paper presents a new tool for feedback control design of nonlinear systems in the presence of non-smooth measurement errors.We introduce a small-gain design approach to robust control of nonlinear uncertain syste...This paper presents a new tool for feedback control design of nonlinear systems in the presence of non-smooth measurement errors.We introduce a small-gain design approach to robust control of nonlinear uncertain systems with disturbed measurement.As a design ingredient,a modified gain assignment technique for measurement feedback control of nonlinear uncertain systems is proposed.Through a recursive control design approach,the closed-loop system is transformed into a network of input-to-state stable(ISS)systems and the influences of the measurement errors are represented by ISS gains.The feedback control objective is achieved by applying the cyclic-small-gain theorem to the closed-loop system.Moreover,event-triggered control of nonlinear systems is studied in a unified framework of measurement feedback control.展开更多
基金supported by the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(No.07KJB510125,08KJD510008)the Natural Science Foundation of Yancheng Teachers University(No.07YCKL062,08YCKL053)
文摘A new design scheme of stable adaptive fuzzy control for a class of nonlinear systems is proposed in this paper.The T-S fuzzy model is employed to represent the systems.First,the concept of the so-called parallel distributed compensation （PDC） and linear matrix inequality （LMI） approach are employed to design the state feedback controller without considering the error caused by fuzzy modeling.Sufficient conditions with respect to decay rate α are derived in the sense of Lyapunov asymptotic stability.Finally,the error caused by fuzzy modeling is considered and the input-to-state stable （ISS） method is used to design the adaptive compensation term to reduce the effect of the modeling error.By the small-gain theorem,the resulting closed-loop system is proved to be input-to-state stable.Theoretical analysis verifies that the state converges to zero and all signals of the closed-loop systems are bounded.The effectiveness of the proposed controller design methodology is demonstrated through numerical simulation on the chaotic Henon system.
基金Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. CDJRC 10100001)
文摘Based on the small-gain theorem, the anti-synchronization between two identical new hyperchaotic systems is investigated, moreover, the general sufficient conditions to achieve anti-synchronization between the new hyperchaotic system and the new hyperchaotic Lorenz system are obtained via small-gain theorem. Numerical simulations are performed to verify and illustrate the analytical results.
基金supported by the National Science Foundation under Grant No.ECCS-1501044the National Natural Science Foundation under Grant Nos.61374042,61522305,61633007 and 61533007the State Key Laboratory of Intelligent Control and Decision of Complex Systems at BIT
文摘This paper develops a large-scale small-gain result for dynamic networks composed of infinite-dimensional subsystems. It is assumed that the subsystems are input-to-output stable（IOS）and unboundedness observable（UO）, and the large-scale infinite-dimensional system can be proved to be IOS and UO if the proposed small-gain condition is satisfied.
基金This work was supported in part by NSFC grants 61633007 and 61533007in part by NSF grants ECCS-1501044 and EPCN-1903781in part by State Key Laboratory of Intelligent Control and Decision of Complex Systems at BIT.
文摘This paper presents a new tool for feedback control design of nonlinear systems in the presence of non-smooth measurement errors.We introduce a small-gain design approach to robust control of nonlinear uncertain systems with disturbed measurement.As a design ingredient,a modified gain assignment technique for measurement feedback control of nonlinear uncertain systems is proposed.Through a recursive control design approach,the closed-loop system is transformed into a network of input-to-state stable(ISS)systems and the influences of the measurement errors are represented by ISS gains.The feedback control objective is achieved by applying the cyclic-small-gain theorem to the closed-loop system.Moreover,event-triggered control of nonlinear systems is studied in a unified framework of measurement feedback control.
