Robust H ∞ filtering for continuous-time nonhomogeneous Markov jump nonlinear systems with randomly occurring uncertainties

Hua, Mingang; Zhang, Li; Yao, Fengqi; Ni, Jianjun; Dai, Weili; Cheng, Yaling

doi:10.1016/j.sigpro.2018.02.024

Cited by 37 publications

(14 citation statements)

References 45 publications

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“…Due to wide applications in some practical systems, the MJLS with complete known transition probabilities has been intensively investigated. For example, the robust H ∞ filtering and the mixed H 2 / H ∞ control of the MJLSs were studied in References 3 and 4, respectively. In References 5‐7, some sliding mode controllers were designed for the MJLSs.…”

Section: Introductionmentioning

confidence: 99%

H_∞ control for discrete‐time Markovian jump linear systems with partially uncertain transition probabilities

Sun

Zhang

2020

Optim Control Appl Methods

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Summary This work is concerned with the H∞ state‐feedback control for the discrete‐time Markovian jump systems with incomplete knowledge of transition probabilities. A less conservative criterion is proposed via linear matrix inequalities (LMIs) such that the considered systems are stochastically stable and have a prescribed H∞ disturbance attention level. Furthermore, based on the obtained results, a state‐feedback controller is presented via LMIs to guarantee the stochastic stability of the resulted closed‐loop system with a prescribed H∞ performance level γ. The number of the LMIs to be solved in the developed methods is much less than that in many existing methods. A numerical example and a practical example are provided to verify the effectiveness of the presented methods.

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Section: Introductionmentioning

confidence: 99%

H_∞ control for discrete‐time Markovian jump linear systems with partially uncertain transition probabilities

Sun

Zhang

2020

Optim Control Appl Methods

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“…In practice, unfortunately, the nonhomogeneous MJSs are widespread, whose TP matrix varies with time. Therefore, it is necessary to investigate the MJSs with nonhomogeneous processes . For instance, by employing Takagi‐Sugeno fuzzy approach, the fault detection filtering problem was studied in Reference for a kind of nonhomogeneous MJSs.…”

Section: Introductionmentioning

confidence: 99%

“…For instance, by employing Takagi‐Sugeno fuzzy approach, the fault detection filtering problem was studied in Reference for a kind of nonhomogeneous MJSs. Most recently, the authors in Reference have dealt with the robust H ∞ filter design problem for continuous‐time nonhomogeneous MJSs, in which sector‐bounded nonlinearities and randomly occurring uncertainties are considered simultaneously.…”

Section: Introductionmentioning

confidence: 99%

Event‐triggered finite‐time reliable control for nonhomogeneous Markovian jump systems

Gao

Deng

et al. 2019

Intl J Robust & Nonlinear

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Summary This article investigates the event‐triggered finite‐time reliable control problem for a class of Markovian jump systems with time‐varying transition probabilities, time‐varying actuator faults, and time‐varying delays. First, a Luenberger observer is constructed to estimate the unmeasured system state. Second, by applying an event‐triggered strategy from observer to controller, the frequency of transmission is reduced. Third, based on linear matrix inequality technique and stochastic finite‐time analysis, event‐triggered observer‐based controllers are designed and sufficient conditions are given, which ensure the finite‐time boundedness of the closed‐loop system in an H∞ sense. Finally, an example is utilized to show the effectiveness of the proposed controller design approach.

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“…Therefore, the ∞ filtering for nonhomogeneous Markovian jump systems (NMJSs), that is, MJSs with time-varying TPs, starts to penetrate into the research front-line of the filtering. Filtering for discrete-time uncertain NMJSs [20], robust ∞ filtering for continuous-time nonlinear NMJSs with randomly occurring uncertainties [21], and finite-time ∞ filtering for nonlinear singular NMJSs [22] have been extensively studied. Moreover, the ∞ filtering for timedelayed systems has also attracted great research interests (see [23][24][25] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Robust H_∞ Filtering of Nonhomogeneous Markovian Jump Delay Systems via N‐Step‐Ahead Lyapunov‐Krasovskii Functional Approach

Wen

Nguang

2019

Complexity

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In this paper, we study the robust H∞ filtering problem for a class of nonhomogeneous Markovian jump delay systems (NMJDSs) with an N-step-ahead Lyapunov-Krasovskii functional (NALKF) approach. The N-step-ahead approach is utilized to reduce the conservatism of robust H∞ filtering. We aim to design filters such that, for all possible time-varying transition probabilities and all admissible parameter uncertainties and time-delays, the filtering error system is mean-square stable with a smaller estimated error and a lower dissipative level. In terms of linear matrix inequalities, sufficient conditions for the solvability of the addressed problem are developed via a moving horizon method. An illustrative example is included to elucidate advantages of the developed results and the practical potential of NALKF approach for NMJDSs.

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Robust H ∞ filtering for continuous-time nonhomogeneous Markov jump nonlinear systems with randomly occurring uncertainties

Cited by 37 publications

References 45 publications

H_∞ control for discrete‐time Markovian jump linear systems with partially uncertain transition probabilities

H_∞ control for discrete‐time Markovian jump linear systems with partially uncertain transition probabilities

Event‐triggered finite‐time reliable control for nonhomogeneous Markovian jump systems

Robust H_∞ Filtering of Nonhomogeneous Markovian Jump Delay Systems via N‐Step‐Ahead Lyapunov‐Krasovskii Functional Approach

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Robust H ∞ filtering for continuous-time nonhomogeneous Markov jump nonlinear systems with randomly occurring uncertainties

Cited by 37 publications

References 45 publications

H∞ control for discrete‐time Markovian jump linear systems with partially uncertain transition probabilities

H∞ control for discrete‐time Markovian jump linear systems with partially uncertain transition probabilities

Event‐triggered finite‐time reliable control for nonhomogeneous Markovian jump systems

Robust H∞ Filtering of Nonhomogeneous Markovian Jump Delay Systems via N‐Step‐Ahead Lyapunov‐Krasovskii Functional Approach

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Product

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H_∞ control for discrete‐time Markovian jump linear systems with partially uncertain transition probabilities

H_∞ control for discrete‐time Markovian jump linear systems with partially uncertain transition probabilities

Robust H_∞ Filtering of Nonhomogeneous Markovian Jump Delay Systems via N‐Step‐Ahead Lyapunov‐Krasovskii Functional Approach