<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si23.svg"><mml:msub><mml:mi mathvariant="script">H</mml:mi><mml:mi>∞</mml:mi></mml:msub></mml:math> control for switched IT2 fuzzy nonlinear systems with multiple time delays applied in hybrid grid‐connected generation

Sun, Jiayue; Zhang, Huaguang; Wang, Yingchun; Liang, Hongjing

doi:10.1016/j.amc.2020.125887

Cited by 8 publications

(1 citation statement)

References 21 publications

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“…Cascade switched nonlinear system is also an important dynamic system consisting of some separate subsystems and coupling terms between them, which makes the stability analysis and controller design more difficult. Many practical systems can be described as such kind of systems, and some important results were available in the literatures [3,[16][17][18][19][20][21][22][23]. For example, the literature [18] proposed some global and local asymptotic stability sufficient conditions for uncertain switched nonlinear cascade systems.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time event‐triggered control for a class of cascade switched affine nonlinear systems

Huang

2023

Asian Journal of Control

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This paper is concerned with the finite-time boundedness (FTB) problem of a class of cascade switched affine nonlinear systems. In order to avoid unnecessary waste of network communication and Zeno behavior, a dynamical event-triggered scheme is proposed, which is more general than some existing event-triggered schemes with a common parameter matrix. By using the average dwell time method and multiple Lyapunov function technologies, sufficient conditions for the existence of controller gains are first proposed such that the closed-loop system is finite-time bounded with a finite-time disturbance attenuation performance. It is also proved that the Zeno phenomenon is excluded. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Finite‐time event‐triggered control for a class of cascade switched affine nonlinear systems

Huang

2023

Asian Journal of Control

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Periodically intermittent H_∞ control for discrete‐time switched interval type‐2 fuzzy systems with dwell time constraints: A switching‐path‐dependent Lyapunov function approach

Zhang

et al. 2022

Intl J Robust & Nonlinear

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This article studies the periodically intermittent control problem of discrete-time switched interval type-2 fuzzy systems (DSIT2FSs) with dwell time constraints.A novel switching-path-dependent Lyapunov functions (SPDLFs) approach, which utilizes the switching path information over multiple controller operation periods, is proposed. First, the N-mode DSIT2FS with periodic intermittent control inputs is regarded as a switched system with N controller-busy modes and N controller-free modes. Then, by constructing a class of non-increasing SPDLFs, sufficient conditions on the existence of H ∞ intermittent interval type-2 (IT2) fuzzy controllers are obtained for DSIT2FS with minimum dwell time constraints. The controller gains can be gotten by solving a set of strict linear matrix inequalities. It is shown that the designed IT2 fuzzy controllers work intermittently but still can guarantee stability and H ∞ performance of the close-loop systems. Finally, two numerical examples are provided to illustrate the effectiveness and advantages of the results. K E Y W O R D Sdiscrete-time switched IT2 fuzzy systems, periodically intermittent H ∞ control, switching-path-dependent Lyapunov function, timer-dependent IT2 fuzzy controller

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Premise‐Variable‐Domain‐Partition‐Dependent Output Feedback Switched Controllers Design for Switched IT2 Fuzzy Systems With Switching Signal Transmission Delays and Local Nonlinear Model

Li,

Zhang

et al. 2024

Intl J Robust & Nonlinear

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This article studies the guaranteed cost extended dissipative stabilization problem of switched IT2 fuzzy systems (SIT2FSs) with switching signal transmission delays and local nonlinear model. The guaranteed cost performance, guaranteed cost strict dissipative performance, guaranteed cost − performance and guaranteed cost passivity performance are considered for SIT2FSs in a unified form. First, a novel asynchronous control scheme is proposed for SIT2FSs with local nonlinear model. The controller gains in mismatched interval are designed separately. By using a premise‐variable‐domain‐partition‐dependent switched fuzzy Lyapunov functions (PDSFLFs) approach, the membership‐function‐shape‐independent (MFSI) existence conditions of a class of IT2 fuzzy switched controllers, which can ensure the guaranteed cost extended dissipative performance of SIT2FSs, are established. Then, by utilizing the shape information of membership functions and dividing the premise variable domain into multiple partitions, the membership‐function‐shape‐dependent (MFSD) existence conditions of a class of premise‐variable‐domain‐partition‐dependent (PVDPD) IT2 fuzzy switched controllers are presented. The results indicate that less conservative results can be achieved by using the PVDPD IT2 fuzzy switched controllers, and better system performance can be gotten compared with the Type‐1 fuzzy switched controllers. Finally, the effectiveness of the results is demonstrated through a robot arm model.

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H∞ control for switched IT2 fuzzy nonlinear systems with multiple time delays applied in hybrid grid‐connected generation

Cited by 8 publications

References 21 publications

Finite‐time event‐triggered control for a class of cascade switched affine nonlinear systems

Finite‐time event‐triggered control for a class of cascade switched affine nonlinear systems

Periodically intermittent H_∞ control for discrete‐time switched interval type‐2 fuzzy systems with dwell time constraints: A switching‐path‐dependent Lyapunov function approach

Premise‐Variable‐Domain‐Partition‐Dependent Output Feedback Switched Controllers Design for Switched IT2 Fuzzy Systems With Switching Signal Transmission Delays and Local Nonlinear Model

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H∞ control for switched IT2 fuzzy nonlinear systems with multiple time delays applied in hybrid grid‐connected generation

Cited by 8 publications

References 21 publications

Finite‐time event‐triggered control for a class of cascade switched affine nonlinear systems

Finite‐time event‐triggered control for a class of cascade switched affine nonlinear systems

Periodically intermittent H∞ control for discrete‐time switched interval type‐2 fuzzy systems with dwell time constraints: A switching‐path‐dependent Lyapunov function approach

Premise‐Variable‐Domain‐Partition‐Dependent Output Feedback Switched Controllers Design for Switched IT2 Fuzzy Systems With Switching Signal Transmission Delays and Local Nonlinear Model

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Periodically intermittent H_∞ control for discrete‐time switched interval type‐2 fuzzy systems with dwell time constraints: A switching‐path‐dependent Lyapunov function approach