Event-Triggered Dissipative Observer-Based Control for Delay Dependent T–S Fuzzy Singular Systems

This article introduces a nonlinear observer to reconstruct faults in a class of nonlinear descriptor systems affected by disturbances, in both the state and output equations. The fault enters the system through nonlinear functions in both its state and output equations. The original system is first transformed such that design freedom in its structure is easier to exploit, and then a nonlinear observer is designed based on the transformed system to reconstruct the fault. Linear matrix inequalities are used to determine the gains of the observer such that the effect of the disturbances on the fault reconstruction is bounded. Finally, three simulation examples are carried out to verify the effectiveness of the scheme.

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“…• The observers in [6], [8]- [13], [47] assume the descriptor system to be linear, and are not applicable.…”

Section: Simulation Examplesmentioning

confidence: 99%

“…Descriptor systems have been widely used to represent practical systems containing inter-related subsystems evolving on different time-scales [6]- [8]. Many existing observers however assume descriptor systems to be linear [6]- [13],…”

Section: Introductionmentioning

confidence: 99%

A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems

et al. 2021

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“…Furthermore, [34] addressed the asynchronous filter design problem for continuous-time FSSs with consideration of a dynamic event-triggered scheme. In addition, [29] investigated the event-triggered output-feedback control problem for continuous-time FSSs with time-varying delay. However, in contrast to the extensive research conducted in the continuous-time domain, almost no studies have focused on the event-triggered observer-based admissibilisation problem for discrete-time FSSs with consideration of admissibility and dissipativity, which is the main motivation for this paper.…”

Section: Introductionmentioning

confidence: 99%

Admissibility and event-triggered dissipative observer-based stabilization of discrete-time T-S fuzzy singular systems via fuzzy Lyapunov functions

Nguyen,

Kim

2023

Preprint

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This paper presents a new method to design an event-triggered dissipative observer-based control for discrete-time Takagi-Sugeno fuzzy singular systems by handling admissibility, dissipativity, observer-based control, and event-triggered data problems all in one. In particular, the proposed method has the advantage of being able to realize a one-step design framework that simultaneously designs both fuzzy observer and controller gains without using any iterative search algorithms. Furthermore, the proposed method provides the flexibility to set the fuzzy event weighting matrix in conjunction with other variables and supports the performance improvement of control systems by using a fuzzy Lyapunov function. Not only that, different from other eventtriggered output-feedback control techniques, the event generation function of this paper is constructed based on actual system outputs rather than estimated states so that estimation errors are not reflected in the event-triggered mechanism. Finally, two illustrative examples are given to verify the effectiveness of the proposed method.

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“…Since T-S fuzzy systems [1] are used as a nonlinear function approximation tool, such systems are the wide variety of applications for the control problems of nonlinear systems. Stability is a prior condition of the control system, so stability analysis and control problems of T-S fuzzy continuous/discrete systems have attracted a lot of attention [2]- [5]. Lyapunov stability theory [6]- [8] is the most effective method to solve the stability problems of nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

Parallel and Nonparallel Distributed Compensation Controller Design for T-S Fuzzy Discrete Singular Systems With Distinct Difference Item Matrices

Qiao

2021

IEEE Access

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The issues of admissibility and controller design for a class of extended T-S fuzzy discrete singular systems (FDSSs) with distinct difference item matrices are discussed in this article. A new augmented system which is the equivalent of the original system is introduced to convert these distinct difference item matrices into the easy treatment form. On this basis, using the fuzzy Lyapunov function (FLF), relaxed sufficient condition is given to ensure the admissibility of unforced systems. This condition is described via strict linear matrix inequalities (LMIs), which facilitates to analyze the admissibility. Meanwhile, the design methods of parallel and nonparallel distributed compensation (PDC and Non-PDC) controllers are also proposed. Finally, the advantages of the developed admissibility and controller design approach are illustrated by three examples.

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Event-Triggered Dissipative Observer-Based Control for Delay Dependent T–S Fuzzy Singular Systems

Cited by 27 publications

References 61 publications

A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems

A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems

Admissibility and event-triggered dissipative observer-based stabilization of discrete-time T-S fuzzy singular systems via fuzzy Lyapunov functions

Parallel and Nonparallel Distributed Compensation Controller Design for T-S Fuzzy Discrete Singular Systems With Distinct Difference Item Matrices

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