An Asynchronous Operation Approach to Event-Triggered Control for Fuzzy Markovian Jump Systems With General Switching Policies

Cheng, Jun; Park, Ju H.; Zhang, Lixian; Zhu, Yanzheng

doi:10.1109/tfuzz.2016.2633325

Cited by 235 publications

(74 citation statements)

References 52 publications

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“…Remark The TRs of some jumping modes may be completely inaccessible for the limitations of equipment and unpredictable factors. Under this situation, the existing results with completely known TRs and partially known TRs no longer apply. This paper considers a general TR matrix; the result is thus more applicable in practice.…”

Section: Problem Description and Preliminariesmentioning

confidence: 98%

“…In addition, time delays, which generally lead to undesirable situations including instability and oscillation of a system, are unavoidably encountered in signal transmission . Hence, to stabilize MJSs with time delays is important, and many interesting results have been reported . However, the transition rates (TRs) of all modes were assumed to be completely known or partially known.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Problem Description and Preliminariesmentioning

confidence: 98%

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

View full text Add to dashboard Cite

show abstract

“…For networked Markovian jump systems, network‐induced delay and limited network resources should be considered to deal with the stability analysis and controller synthesis problems. To cope with the limited bandwidth issue, fruitful results on event‐triggered control for networked Markovian jump systems are generated . In the work of Wang et al, based on the pattern of the sampled‐data‐based ETS, for the networked Markovian jump systems, a kind of dynamic discrete ETS where there are different triggered thresholds for different Markovian modes was proposed.…”

Section: Introductionmentioning

confidence: 99%

H_∞ stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties via improved dynamic event‐triggered scheme

2019

Intl J Robust & Nonlinear

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Summary This paper aims to solve the H∞ stabilization problem for networked semi‐Markovian jump systems subject to randomly occurring uncertainties by an improved event‐triggered technique. A new measurement error that is defined as the difference value between the latest transmitted data and the mean value of both current data and latest transmitted data is introduced into the event‐triggered condition. Compared with traditional dynamic event‐triggered scheme, more unexpected data could be avoided to be transmitted, which is demonstrated in the simulation through sufficient comparison experiments. Furthermore, by employing a Lyapunov‐Krasovskii functional method and a free‐weighting matrix method, sufficient conditions are derived to guarantee the stabilization of the closed‐loop semi‐Markovian jump time‐delay system with uncertainties and a prescribed performance index. Then, a codesign method for H∞ controller gains and event‐triggered parameters is presented. Finally, simulations are given to verify the effectiveness of our improved dynamic event‐triggered scheme.

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“…For example, [19] presented converse Lyapunov theorems for input-to-state stability and integral input-tostate stability (iISS) of switched nonlinear systems; [22,23] studied the ISS of nonlinear systems subject to delayed impulses; [29] dealt with the ISS of discrete-time nonlinear systems. However, one may observe that most of them, such as those in [18][19][20][21][22][23][24][25][26][27][28][29][30][31], require the derivative of Lyapunov functions to be negative definite in order to derive the desired ISS property. Recently, [32] proposed a new approach for ISS property of nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

Input‐to‐State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative

Peng

Cao

2018

Complexity

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This paper studies the input-to-state stability (ISS) of nonlinear switched systems. By using Lyapunov method involving indefinite derivative and average dwell-time (ADT) method, some sufficient conditions for ISS are obtained. In our approach, the timederivative of the Lyapunov function is not necessarily negative definite and that allows wider applications than existing results in the literature. Examples are provided to illustrate the applications and advantages of our general results and the proposed approach.

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An Asynchronous Operation Approach to Event-Triggered Control for Fuzzy Markovian Jump Systems With General Switching Policies

Cited by 235 publications

References 52 publications

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

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

H_∞ stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties via improved dynamic event‐triggered scheme

Input‐to‐State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative

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An Asynchronous Operation Approach to Event-Triggered Control for Fuzzy Markovian Jump Systems With General Switching Policies

Cited by 235 publications

References 52 publications

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

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

H∞ stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties via improved dynamic event‐triggered scheme

Input‐to‐State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative

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H_∞ stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties via improved dynamic event‐triggered scheme