Fuzzy-Model-Based Nonfragile Guaranteed Cost Control of Nonlinear Markov Jump Systems

Wu, Zheng‐Guang; Dong, Shanling; Shi, Peng; Su, Hongye; Huang, Tingwen; Lu, Renquan

doi:10.1109/tsmc.2017.2675943

Cited by 174 publications

(52 citation statements)

References 44 publications

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“…Remark Most existing works concerned with control of MJSs have an implicit assumption, that is, the controller runs synchronously with the plant. Nevertheless, in reality, it usually takes time to identify mode information of the system and implement the designed controller.…”

Section: Preliminaries and Problem Statementmentioning

confidence: 99%

Dissipativity‐based asynchronous control of discrete‐time Markov jump systems with mixed time delays

Zhang

Shi

Liu

et al. 2017

Intl J Robust & Nonlinear

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Summary This paper addresses the problem of dissipativity‐based asynchronous control for a class of discrete‐time Markov jump systems. A unified framework to design a controller for discrete‐time Markov jump systems with mixed time delays is proposed, which is fairly general and can be reduced to a synchronous controller or a mode‐independent controller. Based on a stochastic Lyapunov function approach, which fully utilizes available information of the system mode and the controller, a sufficient condition is established to ensure the stochastic stability and strictly ( scriptQ, scriptS, scriptR) dissipative performance of the resulting closed‐loop system. Finally, the effectiveness and validity of the proposed method are illustrated with a simulation example.

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Section: Preliminaries and Problem Statementmentioning

confidence: 99%

Dissipativity‐based asynchronous control of discrete‐time Markov jump systems with mixed time delays

Zhang

Shi

Liu

et al. 2017

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

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“…Subsequently, a lot of attention has been paid to the deeper fields of MJSs, such as H 2 control, H ∞ control, robust control, asynchronous control, networked control, guaranteed cost control, and adaptive control . It is worth pointing out that Wu et al have made considerable contributions in these fields . However, to the best of the authors' knowledge, the research for mixed passive and H ∞ hybrid control for delayed MJS with partly unknown transition probabilities, actuator constraints, and fault alarm is rare.…”

Section: Introductionmentioning

confidence: 99%

Mixed passive / H_∞ hybrid control for delayed Markovian jump system with actuator constraints and fault alarm

et al. 2018

Intl J Robust & Nonlinear

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Summary In this paper, mixed passive / H∞ hybrid controllers are designed for a delayed Markovian jump system with actuator constraints and alarm signal. The actuator constraints include the unknown actuator bias failure and the actuator partial failure, and the controllers are switched by using alarm signals. First, a sufficient condition for mixed passive / H∞ performance of the closed‐loop system is constructed, and robust controllers and fault‐tolerant controllers are designed, respectively. Then, mixed passive / H∞ observers are presented to ensure that the actuator bias failure is well estimated. Next, an alarm system is proposed by designing multiple thresholds to avoid false alarm, and this system is used to invoke suitable controllers and determine whether to remove the estimated value of actuator bias failure. Finally, two numerical examples are given to illustrate the effectiveness of the method.

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“…From another perspective, networks are expected to achieve not only synchronization, but also with an adequate level of synchronization performance. Guaranteed cost control can effectively deal with this problem [39][40][41][42] and many important relevant results over CDNs have been obtained [43,44]. However, guaranteed cost control of CSDNs has not been addressed yet to authors' best knowledge.…”

Section: Introductionmentioning

confidence: 99%

Guaranteed cost boundary control for cluster synchronization of complex spatio-temporal dynamical networks with community structure

Yang

Cao

Huang

et al. 2017

Sci. China Inf. Sci.

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This paper discusses the problem for cluster synchronization control of a nonlinear complex spatio-temporal dynamical network (CSDN) with community structure. Initially, a collocated boundary controller with boundary measurement is studied to achieve the cluster synchronization of the CSDN. After that, a guaranteed cost boundary controller is further developed based on the obtained results. Furthermore, the suboptimal control design is addressed by minimizing an upper bound of the cost function. Finally, a numerical example is given to demonstrate the effectiveness of the proposed methods.

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Fuzzy-Model-Based Nonfragile Guaranteed Cost Control of Nonlinear Markov Jump Systems

Cited by 174 publications

References 44 publications

Dissipativity‐based asynchronous control of discrete‐time Markov jump systems with mixed time delays

Dissipativity‐based asynchronous control of discrete‐time Markov jump systems with mixed time delays

Mixed passive / H_∞ hybrid control for delayed Markovian jump system with actuator constraints and fault alarm

Guaranteed cost boundary control for cluster synchronization of complex spatio-temporal dynamical networks with community structure

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Fuzzy-Model-Based Nonfragile Guaranteed Cost Control of Nonlinear Markov Jump Systems

Cited by 174 publications

References 44 publications

Dissipativity‐based asynchronous control of discrete‐time Markov jump systems with mixed time delays

Dissipativity‐based asynchronous control of discrete‐time Markov jump systems with mixed time delays

Mixed passive / H∞ hybrid control for delayed Markovian jump system with actuator constraints and fault alarm

Guaranteed cost boundary control for cluster synchronization of complex spatio-temporal dynamical networks with community structure

Contact Info

Product

Resources

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Mixed passive / H_∞ hybrid control for delayed Markovian jump system with actuator constraints and fault alarm