Descriptor state‐bounding observer design for positive Markov jump linear systems with sensor faults: Simultaneous state and faults estimation

Song, Xiaoqi; Lam, James; Chen, Xiaoming; Zhu, Bohao

doi:10.1002/rnc.4870

Cited by 22 publications

(9 citation statements)

References 59 publications

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“…Numerical examples have been presented to illustrate the usefulness of the theoretical results. For the future study, the

ℒ_{1}

or l 1 ‐gain control problem for positive systems which are subject to sudden changes in system parameters, such as positive Markov jump linear systems in References 36‐38, would be further addressed.…”

Section: Resultsmentioning

confidence: 99%

Finite‐time control via hybrid state feedback for uncertain positive systems with impulses

Park

2020

Intl J Robust & Nonlinear

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In this study, the finite‐time ℒ1 control for uncertain positive systems with impulses using a hybrid state feedback control mechanism is investigated. The hybrid state feedback double control strategy is utilized, which includes impulsive state control scheme and continuous state feedback control scheme. A type of time‐varying Lyapunov copositive function is constructed. Considering different impulsive effects, the finite‐time boundedness criterion is obtained by applying the average impulsive interval approach. In addition, sufficient conditions are proposed for finite‐time ℒ1 characterization analysis and the hybrid state feedback controller design. All the criteria can be checked by the linear programming approach succinctly. The relationships among the upper bound of the finite‐time interval, the frequency and intensity of impulses, and the minimum allowable ℒ1‐gain level are revealed. Numerical examples are used to illustrate the usefulness of the theoretical results.

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“…Numerical examples have been presented to illustrate the usefulness of the theoretical results. For the future study, the

ℒ_{1}

Section: Resultsmentioning

confidence: 99%

Finite‐time control via hybrid state feedback for uncertain positive systems with impulses

Park

2020

Intl J Robust & Nonlinear

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“…To describe this phenomenon, positive Markov jump linear systems [10] are proposed to efficiently develop a manipulable model for analyzing and designing, where the law for governing the switching of each subsystem is defined by Markov process. For stability analysis and state-feedback control of positive Markov linear systems, the relevant results can be found in [11]- [14] and [15], [16], respectively.…”

Section: Introductionmentioning

confidence: 99%

Optimization of stochastic switching buffer network via DC programming

Zhao¹,

Sakurama²,

Ogura³

2022

Preprint

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This letter deals with the optimization problems of stochastic switching buffer networks, where the switching law is governed by Markov process. The dynamical buffer network is introduced, and its application in modeling the car-sharing network is also presented. To address the nonconvexity for getting a solution as close-to-the-global-optimal as possible of the optimization problem, we adopt a succinct but effective nonconvex optimization method called DC (difference of convex functions) programming. By resorting to the log-log convexity of a class of nonlinear functions called posynomials, the optimization problems can be reduced to DC programming problems. Finally, we verify the effectiveness of our results by simulation experiments.

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“…For periodic piecewise systems in the continuous‐time domain, detection observer with piecewise constant gains are designed to achieve fault detection 34 . Rather than simply detecting the occurrence of a fault inside the system, it is desirable if the fault can be timely estimated for further isolation and regulation 35 . In the works of Zhang et al 36 and Xie et al, 37 the fault estimation observers of discrete‐time T‐S fuzzy systems are designed based on piecewise Lyapunov functions and homogeneous polynomial parameter‐dependent Lyapunov functions, respectively.…”

Section: Introductionmentioning

confidence: 99%

Fault estimation for periodic piecewise T‐S fuzzy systems

Fan

Lam

Xie

2021

Intl J Robust & Nonlinear

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This article addresses the fault estimation problem for continuous‐time periodic piecewise T‐S fuzzy systems affected by both faults and disturbances for the first time. Rather than conventional time‐invariant results on fuzzy systems, a fault estimation observer with periodic time‐varying observer parameters is developed. By constructing the Lyapunov function with periodic time‐varying Lyapunov matrices, the asymptotic stability and L2‐L∞ (energy‐to‐peak) performance are investigated for the augmented error dynamic systems with relaxation on the detectability assumption of all subsystems. Fault estimation observer parameters are obtained by solving the linear matrix inequality conditions which are derived by dealing with matrix polynomials. The effectiveness and conservatism reduction of the proposed method are verified by numerical examples.

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Descriptor state‐bounding observer design for positive Markov jump linear systems with sensor faults: Simultaneous state and faults estimation

Cited by 22 publications

References 59 publications

Finite‐time control via hybrid state feedback for uncertain positive systems with impulses

Finite‐time control via hybrid state feedback for uncertain positive systems with impulses

Optimization of stochastic switching buffer network via DC programming

Fault estimation for periodic piecewise T‐S fuzzy systems

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