Stochastic finite-time boundedness on switching dynamics Markovian jump linear systems with saturated and stochastic nonlinearities

Wen, Jiwei; Li, Peng; Nguang, Sing Kiong

doi:10.1016/j.ins.2015.11.035

Cited by 23 publications

(7 citation statements)

References 46 publications

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“…Many actual applications inevitably result in the sensor saturations which have the nonlinear characteristic of sensors. This characteristic can severely restrict system performance or, even worse, lead to undesirable oscillatory behaviors [37]. Recently, the design of reliable controller and estimator against sensor saturations for various systems has received increasing attention [37][38][39].…”

Section: Problem Statementmentioning

confidence: 99%

“…This characteristic can severely restrict system performance or, even worse, lead to undesirable oscillatory behaviors [37]. Recently, the design of reliable controller and estimator against sensor saturations for various systems has received increasing attention [37][38][39]. Note that all the above works are based on a common assumption that the sensor saturation occurs persistently.…”

Section: Problem Statementmentioning

confidence: 99%

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An Event-Triggered Fault Detection Approach in Cyber-Physical Systems with Sensor Nonlinearities and Deception Attacks

Liu

2018

Electronics

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In this paper, a general event-triggered framework is constructed to investigate the problem of remote fault detection for stochastic cyber-physical systems subject to the additive disturbances, sensor nonlinearities and deception attacks. Both fault-detection residual generation and evaluation module are fully described. Two energy norm indices are presented so that the fault-detection residual has the best sensitivity to faults and the best robustness to unwanted factors including additive disturbances and false information injected by attacker. Moreover, the filter gain and residual weighting matrix are formulated in terms of stochastic Lyapunov function, which can be conveniently solved via standard numerical software. Finally, an application example is presented to verify the performance of fault detection by comparative simulations. The prolonged battery life is experimentally evaluated and analyzed via a wireless node platform.

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Section: Problem Statementmentioning

confidence: 99%

Section: Problem Statementmentioning

confidence: 99%

An Event-Triggered Fault Detection Approach in Cyber-Physical Systems with Sensor Nonlinearities and Deception Attacks

Liu

2018

Electronics

Self Cite

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“…Note that SSs are composed of a finite number of models and there exist rules that orchestrate switching sequences to decide which model should be activated. A few kinds of switching rules (SRs) are reported in the existing literature [1][2][3][4][5] : time-dependent SRs, state-dependent ones, average dwell time (ADT) ones, and Markovian jump ones. Nowadays, many valuable results about SSs with Markovian jump SRs have been reported in the literature, [6][7][8][9][10][11] and it is very important to obtain the transition probabilities (TPs).…”

Section: Introductionmentioning

confidence: 99%

Static output feedback control of switched systems with quantization: A nonhomogeneous sojourn probability approach

Cheng

Park

Zhao

et al. 2019

Intl J Robust & Nonlinear

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Summary The present work deals with the problem of static output feedback control for discrete‐time switched systems (SSs) with quantization effects. Different from the existing results on SSs, a more general model with respect to a new switching rule (SR) is explored by utilizing a nonhomogeneous sojourn probability approach. Both control input and measured output are quantized by the mode‐dependent static logarithmic quantizers, respectively. To decrease the conservatism and eliminate the coupling parameters, a descriptor technology is employed in the static output feedback control scheme. In the framework of the time‐dependent SR, sufficient conditions are proposed to guarantee the mean square stability of resulting systems. Finally, an example is expressed to demonstrate the applicability and validity of the developed theoretical results.

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“…The finite‐time boundedness concept is more flexible than contractive invariance and invariance, that is, the state is allowed to exceed the invariant set but not exceed a larger given performance level. The system state being contractive invariant and invariant can be recovered as particular cases depicted by the condition of finite‐time boundedness . Most recently, Yan et al and Sathishkumar et al discussed the issues of finite‐time stability and finite‐time stabilization for stochastic Markov jump systems, where both state‐feedback and observer‐based controller design algorithms are developed to achieve the required results.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time boundedness of large‐scale systems with actuator faults and gain fluctuations

Tharanidharan

Sakthivel

Kaviarasan

et al. 2019

Intl J Robust & Nonlinear

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Summary This paper addresses the issue of finite‐time boundedness of large‐scale interconnected systems with the use of a distributed nonfragile fault‐tolerant controller. The objective of this paper is to design a state‐feedback controller consisting of a time‐varying delay such that the resulting closed‐loop system is finite‐time bounded under a prescribed extended passivity performance level even in the presence of all admissible uncertainties and possible actuator faults. More precisely, based on the Lyapunov‐Krasovskii stability theory, a new set of sufficient conditions is obtained in the framework of linear matrix inequality constraints that ensures finite‐time boundedness and satisfies the prescribed extended passivity performance index of the considered system. Finally, two numerical examples, including the interconnected inverted pendulum, are given to show the effectiveness of the proposed controller design technique.

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Stochastic finite-time boundedness on switching dynamics Markovian jump linear systems with saturated and stochastic nonlinearities

Cited by 23 publications

References 46 publications

An Event-Triggered Fault Detection Approach in Cyber-Physical Systems with Sensor Nonlinearities and Deception Attacks

An Event-Triggered Fault Detection Approach in Cyber-Physical Systems with Sensor Nonlinearities and Deception Attacks

Static output feedback control of switched systems with quantization: A nonhomogeneous sojourn probability approach

Finite‐time boundedness of large‐scale systems with actuator faults and gain fluctuations

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