Asynchronous Control of Continuous-Time Nonlinear Markov Jump Systems Subject to Strict Dissipativity

Dong, Shanling; Wu, Zheng‐Guang; Su, Hongye; Shi, Peng; Karimi, Hamid Reza

doi:10.1109/tac.2018.2846594

Cited by 117 publications

(46 citation statements)

References 29 publications

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“…Remark Owning to the time derivative of the fuzzy membership function, the continuous‐time Lyapunov functional is more difficult than the discrete‐time case in the process of dealing with the stability problem for T‐S fuzzy systems. Compared with the Lyapunov functional, not only time delay is added into the Lyapunov function but also Markovian jumping parameters are subjoined into the Lyapunov function. Therefore, the sufficient condition obtained in this paper is more specific and applicable.…”

Section: Resultsmentioning

confidence: 99%

Asynchronous control of T‐S fuzzy chaotic systems via a unified model using the hidden Markov model subject to strict dissipativity

Tong

Chen

et al. 2019

Optim Control Appl Methods

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Summary The asynchronous control for the unified model of chaotic systems with Markovian jumping parameters is considered via the Takagi‐Sugeno (T‐S) fuzzy approach in this paper. According to jumping modes for chaotic systems and modes for the asynchronous controller, a double‐mode process is generated. By introducing the hidden Markov model (HMM), the asynchronization phenomenon is represented between the controller and chaotic systems. By linear matrix inequalities (LMIs), some conditions are received to guarantee the stochastic stability and the strict dissipativity for chaotic systems. Based on the stochastic stability theory and the dissipativity theory, the asynchronous controller is discussed. The proposed method can be applied to the mode‐independent controller and the synchronous controller. Finally, the effectiveness of the proposed controller is illustrated by two examples.

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Section: Resultsmentioning

confidence: 99%

Asynchronous control of T‐S fuzzy chaotic systems via a unified model using the hidden Markov model subject to strict dissipativity

Tong

Chen

et al. 2019

Optim Control Appl Methods

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“…Substituting (28) to (30) into (31) and (32) and using Schur complement Lemma, it can be derived from (31) and (32) that…”

Section: Theorem 2 Considering the T-s Fuzzy Mjssmentioning

confidence: 99%

“…Recently, as mentioned in References , there exists a nonsynchronization phenomenon of jump mode between the plant and the controller in networked control systems due to some unexpected phenomena, such as communication delays and data packet dropout. Therefore, the problems of asynchronous controller or filter design for stochastic jump systems have received much attention .…”

Section: Introductionmentioning

confidence: 99%

“…[23][24][25] Moreover, a great number of researchers' interesting has been attracted to address the FTC problems for MJSs through SMC, and some related results have been proposed. [26][27][28] Recently, as mentioned in References 29,30, there exists a nonsynchronization phenomenon of jump mode between the plant and the controller in networked control systems due to some unexpected phenomena, such as communication delays and data packet dropout. Therefore, the problems of asynchronous controller or filter design for stochastic jump systems have received much attention.…”

Section: Introductionmentioning

confidence: 99%

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Asynchronous adaptive output feedback sliding mode control for Takagi‐Sugeno fuzzy Markovian jump systems with actuator faults

Liu

Zhang

et al. 2019

Adaptive Control & Signal

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Summary In this article, the problem of asynchronous adaptive dynamic output feedback sliding mode control (SMC) for a class of Takagi‐Sugeno (T‐S) fuzzy Markovian jump systems (MJSs) with actuator faults is investigated. The asynchronous dynamic output feedback control strategy is employed, as the nonsynchronization phenomenon of jump modes exists between the plant and the controller. A novel asynchronous adaptive SMC approach is proposed to solve the synthesis problem for T‐S fuzzy MJSs with actuator faults. Sufficient conditions for stochastic asymptotic stability of T‐S fuzzy MJSs are given. Under the designed asynchronous adaptive SMC scheme, the effects of actuator faults and external disturbance can be completely compensated and the reachability of sliding surface is ensured. Finally, an example is provided to demonstrate the effectiveness of the proposed design techniques.

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“…Recently, for stabilizing MJSs, various control strategies have been proposed, such as state feedback control, adaptive control, and sliding mode control . Among them, with the development of digital technology and communication, sampled‐data control has attracted much more attention because of its low cost consumption, reliability, and easy installation .…”

Section: Introductionmentioning

confidence: 99%

Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy

Xie

Zhang

Zeng

et al. 2020

Intl J Robust & Nonlinear

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Summary This paper investigates the strictly dissipative stabilization problem for multiple‐memory Markov jump systems with network communication protocol. Firstly, for reducing data transmission, we put forward a novel mode‐dependent event‐triggered communication scheme based on aperiodically sampled data. Secondly, a Markov jump system with general transition rates is considered to make the result more applicable, where the transition rates of some jumping modes allow to be completely known, or partially known, or even completely unknown. Thirdly, a less restrictive Lyapunov‐Krasovskii functional, which is only required to be positive definite at end points of each subinterval of the holding intervals, is first introduced for event‐triggered control issue. Based on the above methods, a sufficient condition with less conservatism is obtained to ensure the stochastic stability and dissipativity of the resulting closed‐loop system. Meanwhile, an explicit design method of the desired controller is achieved. Finally, two numerical examples are presented to demonstrate the effectiveness and advantage of the proposed method.

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Asynchronous Control of Continuous-Time Nonlinear Markov Jump Systems Subject to Strict Dissipativity

Cited by 117 publications

References 29 publications

Asynchronous control of T‐S fuzzy chaotic systems via a unified model using the hidden Markov model subject to strict dissipativity

Asynchronous control of T‐S fuzzy chaotic systems via a unified model using the hidden Markov model subject to strict dissipativity

Asynchronous adaptive output feedback sliding mode control for Takagi‐Sugeno fuzzy Markovian jump systems with actuator faults

Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy

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