Reliable dissipative control for Markov jump systems using an event-triggered sampling information scheme

Shen, Hao; Su, Liyun; Wu, Zheng‐Guang; Park, Ju H.

doi:10.1016/j.nahs.2017.02.002

Cited by 91 publications

(43 citation statements)

References 34 publications

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“…The TR matrix and the external disturbance are respectively given as

Π = [\begin{array}{cc} - 3 & 3 \\ 2 & - 2 \end{array}], ω (t) = \{\begin{matrix} 1, & 0 \leq t \leq 2; \\ 0, & t > 2 . \end{matrix}

Setting α =1, δ =0.12, and

μ = 1, X = - 1 false(\overset{X}{true} = - 1 false), Y = 0, Z = γ^{2} + μ

, so that our result can compare with those in the works of Shen et al and Wang et al…”

Section: Numerical Examplesupporting

confidence: 59%

“…Remark As stated in the work of Shen et al, the H ∞ performance and passive performance are the special cases of , ie, represents H ∞ performance, when setting X =− I , Y = 0 and Z = γ 2 + μ ; passive performance, when setting X = 0 , Y = γ and Z = γ 2 + μ . Hence, strictly ( X ‐ Y ‐ Z )‐ μ ‐dissipative problem is more general.…”

Section: Problem Description and Preliminariesmentioning

confidence: 94%

“…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%

“…Because of component failures and abrupt environmental disturbances, dynamical systems such as aircraft control systems, power systems, and economic systems may experience abrupt changes in their structure and parameters. Markov jump systems (MJSs) are appropriate to model such systems and have thus been widely investigated . In addition, time delays, which generally lead to undesirable situations including instability and oscillation of a system, are unavoidably encountered in signal transmission .…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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“…The TR matrix and the external disturbance are respectively given as

Π = [\begin{array}{cc} - 3 & 3 \\ 2 & - 2 \end{array}], ω (t) = \{\begin{matrix} 1, & 0 \leq t \leq 2; \\ 0, & t > 2 . \end{matrix}

Setting α =1, δ =0.12, and

μ = 1, X = - 1 false(\overset{X}{true} = - 1 false), Y = 0, Z = γ^{2} + μ

, so that our result can compare with those in the works of Shen et al and Wang et al…”

Section: Numerical Examplesupporting

confidence: 59%

Section: Problem Description and Preliminariesmentioning

confidence: 94%

Section: Problem Description and Preliminariesmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

“…However, the communication burden is neglected in the framework of the periodic sampling; especially when the difference between consecutive sample-data is not distinct, it is obviously a waste of limited communication resources transmitting the sampled data to the controller [17]. Recently, in order to overcome this difficulty, event-triggered scheme is introduced and has been received particular attention, which is more convenient and effective than the traditional time-triggered technique, meantime, compared with the time-triggered mechanism, the event-triggered scheme can promise energy efficiency and reduce the burden of the communication [18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Finite-time event-triggered control and fault detection for singular Markovian jump mixed delay systems under asynchronous switching

Zhong

Cheng

2018

Adv Differ Equ

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This paper considers the problem of the simultaneous finite-time event-triggered control and fault detection for a class of continuous-time singular Markovian jump mixed delay systems (SMJDSs) under asynchronous switching. In order to develop the control and detection objectives, the mode-dependent fault detection filters and dynamic feedback event-triggered-based controllers are designed and the switching signal between the detector/controller unit and subsystems is assumed to be asynchronous. Based on average dwell time (ADT) techniques, some new sufficient conditions for the existence of fault detection/controller unit are presented in the framework of linear matrix inequalities (LMIs) to ensure the control system has singular stochastic finite-time stability (SSFTS). Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.

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Reliable nonfragile tracking control for switched systems with external disturbances

Vijayakumar¹,

Sakthivel

Kong

et al. 2022

Adaptive Control & Signal

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With the assistance of reliable control technique, the nonfragile tracking problem has been proposed in this paper for a class of switched systems with external disturbances under the aegis of modified repetitive controller. Notably, the designed repetitive controller is used to improve the tracking performance of the addressed switched systems. Preciously, the influence of external disturbances are estimated through the improved equivalent-input-disturbance strategy, wherein the effect caused by the external disturbances to the output channel are reduced by the aid of modified repetitive control strategy. The fundamental intention of this control synthesis is that the output of the system precisely tracks the reference signal even in the presence of external disturbances and gain fluctuations. For that cause, Lyapunov stability technique in conjunction with average dwell time approach is implemented to obtain adequate conditions in the shape of linear matrix inequalities which insists the exponential stability for the addressed system. Ultimately, the efficiency and supremacy of the proposed control schemes are justified via two numerical examples, wherein it is exposed to view that the developed control strategy is capable of good tracking performance and also estimates the external disturbances efficiently.

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Reliable dissipative control for Markov jump systems using an event-triggered sampling information scheme

Cited by 91 publications

References 34 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

Finite-time event-triggered control and fault detection for singular Markovian jump mixed delay systems under asynchronous switching

Reliable nonfragile tracking control for switched systems with external disturbances

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