Quantized dissipative filter design for Markovian switch T–S fuzzy systems with time-varying delays

Aslam, Muhammad Shamrooz; Li, Qianmu

doi:10.1007/s00500-019-03884-w

Cited by 10 publications

(8 citation statements)

References 49 publications

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“…erefore, according to [35][36][37][38], the unforced input system (9) has a unique impulse-free solution for all t ≥ 0 when Assumption 1 holds. Before proceeding to the next step, we introduce the following important definitions to drive our main results.…”

Section: Remarkmentioning

confidence: 99%

“…Additionally, it has been shown that time-varying delays are universal in real applications because of the signal transmission in communication, and it can lead to systems performance degradation and instability [34][35][36][37][38]. Inevitably, time delays also exist in SMJSs, and it is necessary to investigate the SMJSs with time-varying delays.…”

Section: Introductionmentioning

confidence: 99%

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Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays

Shi

Peng

2020

Complexity

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This paper investigates the problem of full-order and reduced-order fault detection filter (FDF) design under unified linear matrix inequality (LMI) conditions for a class of continuous-time singular Markovian jump systems (CTSMJSs) with time-varying delays and polytopic uncertain transition rates. By constructing a new Lyapunov function, sufficient conditions are firstly provided for the singular model error augmented system such that the system is stochastically admissible with an H∞ performance level γ. And then, by applying a novel convex polyhedron technique to decoupled linear matrix inequalities, the full-order and reduced-order fault detection filter parameters can be obtained within a convex optimization frame. The reduced-order fault detection filter (FDF) can not only meet the fault detection accuracy requirements of complex systems but also improve the fault detection efficiency. Finally, a DC motor and an illustrative simulation example are given to verify the feasibility and effectiveness of the proposed algorithms.

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Section: Remarkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays

Shi

Peng

2020

Complexity

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“…Definition 2 (see [19,53]). Consider matrices Θ ≥ 0, Φ 1 ≤ 0, and Φ 2 and Φ 3 > 0, which fulfill (‖Φ 1 ‖ + ‖Φ 2 ‖)‖Θ‖ � 0. en, we can say that system (18) is to be extended dissipative if there exists a scalar ρ such that the following inequality holds for any t f ≥ 0 and all ω(t) ∈ L 2 [0, ∞]:…”

Section: Observer-based Controller Design Through Quantizermentioning

confidence: 99%

“…erefore, the robustness and design simplicity are increased. Moreover, the properties of Markov jump with fuzzy membership function are codesigned, which gives less conservative results [19]. In [20,21], authors have been investigating the properties of H ∞ control for Markovian singular jump systems with eventtriggered and quantization effect.…”

Section: Introductionmentioning

confidence: 99%

Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay

Aslam

Dai

2020

Complexity

Self Cite

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is paper investigates the problem of quantized dissipative observer-based output feedback control of Markovian descriptor jump systems with unavailable states, appearing networked-induced delay. e descriptor systems are presented as Markovian jump systems which give a more realistic presentation for a variety of nonlinear dynamical systems than conventional state-space representation. To accomplish the objective, a uniform framework is employed to design the delayed Markov observer-based controller and event-triggered scheme. Additionally, we provided the H ∞ and L 2 -L ∞ and dissipative performance indices which are robust against the disturbances with time-varying delays. Moreover, a novel Lyapunov-Krasovskii functional is considered to guarantee the closed loop for stochastic stability analysis of the Markovian descriptor jump system. e solvability of Lyapunov-Krasovskii functional results in the formation of linear matrix inequalities. e controller and observer gains can be obtained by solving the linear matrix inequalities. Simulations are performed to validate the proposed scheme.

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“…As a result, the unnecessary communication resources are saved in the event-triggered scheme. In recent years, the event-triggered scheme has been utilized in the controller and filter design problem for various dynamic systems [31][32][33][34][35][36]. As for SMJSs, the event-triggered leader-following consensus for a multiagent system with semi-Markovian jumping parameters was studied in [37].…”

Section: Introductionmentioning

confidence: 99%

Event-Triggered Dissipative Filter Design for Semi-Markovian Jump Systems with Time-Varying Delays

Xia

2020

Mathematical Problems in Engineering

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This paper deals with the event-triggered dissipative filtering problem for semi-Markovian jump systems with time-varying delays. The purpose is to design a filter which guarantees that the filtering error system is not only stochastically stable but also satisfies dissipativity. First, based on Lyapunov–Krasovskii theory and matrix integral inequality, a sufficient condition is established for the existence of such a filter. Then, the codesign method of event-triggered matrices and the desired filter parameters is proposed. Finally, two numerical examples are given to illustrate the advantages and validity of the scheme developed in this paper.

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Quantized dissipative filter design for Markovian switch T–S fuzzy systems with time-varying delays

Cited by 10 publications

References 49 publications

Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays

Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays

Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay

Event-Triggered Dissipative Filter Design for Semi-Markovian Jump Systems with Time-Varying Delays

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