State Estimation for Networked Systems With Markov Driven Transmission and Buffer Constraint

Xu, Yong; Yang, Lixin; Wang, Zhuo; Rao, Hongxia

doi:10.1109/tsmc.2020.2980425

Cited by 32 publications

(9 citation statements)

References 33 publications

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“…In view of inequalities (33) and (34),the following conclusion is satisfied when k tends to infinity:…”

Section: E{δ(e(k))} = E{𝜁 T (E(k)) āT  𝜈 ā𝜁(E(k))mentioning

confidence: 98%

“…As is known to all, some systems utilize impulsive method to increase the efficiency of the controller or estimator. Impulsive method, which is seen as a special intermittent approach updating state instantaneously, is widely applied in the state feedback, synchronization and state estimation, and so on 29‐35 . Different from the impulsive drive, intermittent approach expands the range of trigger from a point to a period of time, that is, it provides a sustained period of drive to a system, which greatly improves the drive efficiency 36‐38 .…”

Section: Introductionmentioning

confidence: 99%

“…Impulsive method, which is seen as a special intermittent approach updating state instantaneously, is widely applied in the state feedback, synchronization and state estimation, and so on. [29][30][31][32][33][34][35] Different from the impulsive drive, intermittent approach expands the range of trigger from a point to a period of time, that is, it provides a sustained period of drive to a system, which greatly improves the drive efficiency. [36][37][38] Benefiting from the advantage of the intermittent approach, some researchers are motivated to focus on it.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Intermittent state estimation for nonlinear delay systems with redundant communication channels

Guo

Yang

Rao

et al. 2022

Intl J Robust & Nonlinear

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This article investigates state estimation for discrete-time nonlinear systems with Markov delay, where a redundant communication channel is considered to improve transmission reliability. As the channel capacity is limited, we use two Bernoulli stochastic variables to describe the packet dropout conditions of the main channel and the redundant one. In addition, a mode-dependent estimator based on both the current state and the delayed state is designed. Combining with an intermittent approach, the efficiency of the estimator is improved. An augmented estimation error system is proposed to deal with the Markov delay in the nonlinear system. Subsequently, a sufficient condition is obtained to ensure the asymptotic stability of the augmented error system by constructing a Lyapunov function, and the gains of the intermittent estimator are derived. Finally, a numerical example of a moving vehicle is utilized to illustrate the developed results.

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“…In view of inequalities (33) and (34),the following conclusion is satisfied when k tends to infinity:…”

Section: E{δ(e(k))} = E{𝜁 T (E(k)) āT  𝜈 ā𝜁(E(k))mentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Intermittent state estimation for nonlinear delay systems with redundant communication channels

Guo

Yang

Rao

et al. 2022

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

show abstract

“…Impulsive control, as an outer force, provides instantaneous energy to a system, which is always used in synchronization control and state estimation. For some cases, the impulsive method becomes a good choice for feedback, updating system state, controller and estimator design, and so on [32][33][34]. In this regard, impulsive control motivates some researchers to focus on it.…”

Section: Introductionmentioning

confidence: 99%

Impulsive State Estimation for Nonlinear Systems with Redundant Communication Channels and Markov Delay

Rao¹,

Guo²,

Kuang³

et al. 2021

Preprint

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The state estimation issue for the discrete-time nonlinear systems with Markov delay is investigated in this paper, where the redundant communication channel is considered to ensure the reliability of transmission. Because the channel capacity is limited, the packet dropout conditions of the main channel and the redundant channel are described by the Bernoulli stochastic variables. In addition, a mode-dependent estimator is proposed based on the current state and the delayed state, simultaneously. Combining with the impulsive control strategy, the efficiency of estimator is improved. An augmented estimation error system is proposed to deal with the Markov delay in the nonlinear system, subsequently, a sufficient condition that ensures the asymptotic stability of the augmented error system is obtained by a constructed Lyapunov functional candidate and the gains of the impulsive estimator are derived. Finally, a numerical example of moving vehicle is utilized to illustrate the developed results.

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“…With the random jumping structure, MJSs can be seen as a class of hybrid systems and have always received considerable attention. Due to the randomness in data and structure, MJSs have been widely applied, such as multiagent systems [2], electrohydraulic servo systems [3], medical prognosis [4] and networked systems [5]. But in engineering applications, it is difficult to synchronise the system and the controller modes due to some unavoidable errors and delays.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time dissipative control for time‐delay Markov jump systems with conic‐type non‐linearities under guaranteed cost controller and quantiser

Zhang

Yin

Wang

et al. 2020

IET Control Theory & Appl

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For a class of conic-type non-linear time-delay Markov jump systems, the asynchronous dissipative output feedback controller based on the guaranteed cost control and quantiser is designed in this study. In real applications, the system and the controller modes are always non-synchronous, so we introduce the hidden Markov model to solve this problem. Furthermore, we define three novel auxiliary variables and use quantisers to accomplish the output feedback controller design. Then, the finite-time boundedness and strict dissipativity of the closed-loop systems are guaranteed by sufficient conditions, and the controller also meets the guaranteed cost-control performance. By solving a set of linear matrix inequalities, we get the controller gains, the guaranteed cost control performance index J * , and the dissipative performance index α. Finally, the correctness and feasibility of this designed approach are demonstrated by a given example.

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State Estimation for Networked Systems With Markov Driven Transmission and Buffer Constraint

Cited by 32 publications

References 33 publications

Intermittent state estimation for nonlinear delay systems with redundant communication channels

Intermittent state estimation for nonlinear delay systems with redundant communication channels

Impulsive State Estimation for Nonlinear Systems with Redundant Communication Channels and Markov Delay

Finite‐time dissipative control for time‐delay Markov jump systems with conic‐type non‐linearities under guaranteed cost controller and quantiser

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