Event-Triggered Sliding Mode Control of Discrete-Time Markov Jump Systems

Yao, Deyin; Zhang, Bin; Li, Panshuo; Li, Hongyi

doi:10.1109/tsmc.2018.2836390

Cited by 150 publications

(45 citation statements)

References 44 publications

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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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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

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“…Due to the above situation, much effort has been devoted to present the proper communication protocols (Chu & Li, 2019;Kumari, Bandyopadhyay, Kim, & Shim, 2019). Recently, the event-triggered mechanism has been introduced and some related works with the event-triggered scheme have been given (Lu, Hu, Guo, & Zhou, 2018;Wu, Gao, Liu, & Li, 2017;Yao, Zhang, Li, & Li, 2019). For example, based on the observer-based control and state-feedback control scheme, the eventtriggered control problem of Markov jump systems (MJSs) has been studied in Yao et al (2019).…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the event-triggered mechanism has been introduced and some related works with the event-triggered scheme have been given (Lu, Hu, Guo, & Zhou, 2018;Wu, Gao, Liu, & Li, 2017;Yao, Zhang, Li, & Li, 2019). For example, based on the observer-based control and state-feedback control scheme, the eventtriggered control problem of Markov jump systems (MJSs) has been studied in Yao et al (2019). In Song, Wang, and Niu (2019), the token-dependent SMC law has been proposed, which can force the trajectory of error systems onto the designed sliding mode surface and ensure that the estimation error system is asymptotically stable.…”

Section: Introductionmentioning

confidence: 99%

Observer-based sliding mode control for discrete nonlinear systems with packet losses: an event-triggered method

Guan

Cui

et al. 2020

Systems Science & Control Engineering

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In this paper, the observer-based output feedback sliding mode control (SMC) problem is investigated for discrete delayed nonlinear systems subject to packet losses under the event-triggered strategy. It is assumed that the packet losses may occur in the control channel from the sensor to the observer. A suitable compensation strategy via the Bernoulli distributed random variable is used to reduce the effects of packet losses. In order to avoid the phenomenon of network congestion during the networked transmission, an event-triggered mechanism is introduced to determine if the last released measurement needs to be updated. Based on the zero-order-hold (ZOH) measurement, an output feedback observer is designed to reconstruct the system state. This method can facilitate the design of the discrete-time sliding surface. A sufficient condition is proposed to guarantee the stochastic stability of sliding mode dynamics systems by using linear matrix inequality (LMI) method, and a novel observer-based sliding mode controller is synthesized to force the trajectories of the error systems onto the pre-designed sliding mode surface within finite time. Finally, an example is given to illustrate the validity of the proposed theoretical result.

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“…In this situation, the differential equations with Markovian jumping are generally used to describe such systems efficiently. The stability and synchronicity of such systems have been studied extensively by many researchers in the past few years (see References 24‐36). As far as we know, the synchronization problems that combine Markovian jumping and uncertain dynamics are rarely studied.…”

Section: Introductionmentioning

confidence: 99%

Structure‐triggered asymptotical synchronization for nonidentical generalized stochastic systems with Markovian jumping parameter based on sliding mode control

Zhang

Ding

Zhou

et al. 2020

Intl J Robust & Nonlinear

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In this paper, the problem of structure-triggered asymptotical synchronization for nonidentical generalized stochastic systems with Markovian jumping parameter is investigated. Firstly, by designing a structure-triggered communication scheme, the optimal master system can be chosen for the slave system to synchronize. Furthermore, when the master system selected for the first time fails, the system can be promptly chosen again. Secondly, based on the sliding mode control approach and the linear matrix inequality technique, some sufficient conditions for synchronization of the nonidentical generalized stochastic systems are obtained. Finally, the effectiveness of the method is illustrated by two numerical examples.

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Event-Triggered Sliding Mode Control of Discrete-Time Markov Jump Systems

Cited by 150 publications

References 44 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

Observer-based sliding mode control for discrete nonlinear systems with packet losses: an event-triggered method

Structure‐triggered asymptotical synchronization for nonidentical generalized stochastic systems with Markovian jumping parameter based on sliding mode control

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