Suboptimal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mi mathvariant="bold-script">H</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg"><mml:msub><mml:mi mathvariant="bold-script">H</mml:mi><mml:mi>∞</mml:mi></mml:msub></mml:math> static output feedback control of hidden Markov jump linear systems

Oliveira, A.; Costa, Oswaldo Luiz do Valle; Daafouz, Jamal

doi:10.1016/j.ejcon.2019.07.002

Cited by 10 publications

(24 citation statements)

References 14 publications

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“…Remark 1: It should be note that Theorem 1 cannot be solved directly since the conditions are not linear. It is a bilinear problem as discussed in [28] and [29]. Following a similar line with the above proof, we can obtain that N (0) T Φ ilÑ (0) > 0 with U TÑ (0) = 0, i.e.,    …”

Section: A Asynchronous Output-feedback Sliding Mode Surface Designsupporting

confidence: 64%

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Sliding Mode Output Feedback Controller Design of Discrete-Time Markov Jump System Based on Hidden Markov Model Approach

Ma³

et al. 2021

IEEE Access

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This paper investigates the problem of sliding mode controller design based on output feedback for discrete-time Markov jump systems. Considering the typical asynchronous phenomenon for jump systems, here we adopt the Hidden Markov Model (HMM) to quantify the asynchronous degree. Based on this, a static output feedback sliding surface is constructed. Sufficient conditions in terms of bilinear matrix inequalities are proposed ensuring the sliding motion dynamic to be stochastically stable and its H ∞ performance for the considered discrete time Markov jump systems. Moreover, the reachability of the sliding mode surface is ensured by a predesigned control law. The whole design scheme is presented by using an iterative algorithm. Finally, simulation results are presented to illustrate the effectiveness of the design methodology.INDEX TERMS Sliding mode control, HMM, output feedback, iterative algorithm.

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Section: A Asynchronous Output-feedback Sliding Mode Surface Designsupporting

confidence: 64%

“…Inspired by the work in [28], we conclude the asynchronous sliding mode controller design scheme as follows based on the discussions in Theorem 1 and 2:…”

Section: B Asynchronous Sliding Mode Controller Designmentioning

confidence: 99%

Sliding Mode Output Feedback Controller Design of Discrete-Time Markov Jump System Based on Hidden Markov Model Approach

Ma³

et al. 2021

IEEE Access

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“…It is easy to see that (24) is correct from (23). Then, using the same method as Theorem 1, we can easily prove that the closed-loop system (5) with CKTR is SH ∞ FTB with the output feedback gain matrix…”

Section: Mjs With Cktrmentioning

confidence: 82%

“…In order to overcome the difficulty of state measurement and attenuate the exogenous disturbance, the research on output feedback control has been developed. Among them, static output feedback control (SOFC) has drawn the attention of a number of investigators owing to its low maintenance cost and implementation in various output feedback control schemes [22][23][24]. To be more specific, for the finite-time SOFC problem of MJs, sufficient conditions for LMIs with fixed parameter constraints are given in [22].…”

Section: Introductionmentioning

confidence: 99%

“…To be more specific, for the finite-time SOFC problem of MJs, sufficient conditions for LMIs with fixed parameter constraints are given in [22]. In recent years, stochastic H 2 /H ∞ control for MJs has become a popular area of research, in a context of partial information, the design of H ∞ , and mixed H 2 /H ∞ static output feedback controllers for Markov jump linear systems were studied [23]. Furthermore, the finite-time static output feedback H ∞ controller was designed for Takagi-Sugeno fuzzy nonlinear systems with time-varying transition rates [24].…”

Section: Introductionmentioning

confidence: 99%

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Finite-Time H∞ Static Output Feedback Control for Itô Stochastic Markovian Jump Systems

Liu

Yapeng

2020

Mathematics

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This paper focuses on the problem of finite-time H∞ static output feedback control for Ito^ stochastic systems with Markovian jumps (MJs). First of all, by introducing a new state vector and a novel signal, several sufficient conditions for the existence of static output feedback controllers are established for the considered systems with completely known transition rates (CKTRs) and partially known transition rates (PKTRs), respectively. Then the static output feedback controllers are designed via solving linear matrix inequalities (LMIs), which ensure the closed-loop systems are stochastic H∞ finite-time boundedness. The validity of the developed method was demonstrated through two examples.

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Robust static output feedback control for hidden Markov jump linear systems

Oliveira

Costa

Gabriel

2021

International Journal of Systems Science

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Suboptimal H2 and H∞ static output feedback control of hidden Markov jump linear systems

Cited by 10 publications

References 14 publications

Sliding Mode Output Feedback Controller Design of Discrete-Time Markov Jump System Based on Hidden Markov Model Approach

Sliding Mode Output Feedback Controller Design of Discrete-Time Markov Jump System Based on Hidden Markov Model Approach

Finite-Time H∞ Static Output Feedback Control for Itô Stochastic Markovian Jump Systems

Robust static output feedback control for hidden Markov jump linear systems

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