Reliable H∞ Control of Switched Linear Systems

Fu, Jun; Chai, Tianyou; Jin, Ying; Ma, Ruicheng

doi:10.1016/j.ifacol.2015.09.080

Cited by 4 publications

(1 citation statement)

References 18 publications

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“…Similarly, a wrong switching signal may cause instability of a switched system with stable sub-systems. Designing suitable switching signals for the asymptotic stability of switchable systems has, thus, encouraged many researchers to invest and study-related fields [23][24][25]. On the other hand, given the fact that a switchable system consists of unstable sub-systems; thus, system states tend to diverge.…”

Section: Introductionmentioning

confidence: 99%

Robust adaptive control for a class of nonlinear switched systems using state-dependent switching

Noghredani

Pariz

2021

SN Appl. Sci.

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This paper presents a novel adaptive control for a class of nonlinear switched systems by introducing a sufficient condition for stabilization. Based on the possible instability of all sub-systems, a variable structure (VS) switching rule with an adaptive approach and sliding sector was offered. Moreover, the stability condition of the system can be determined by solving linear matrix inequalities (LMIs) to ensure asymptotic stability. The application of H∞ analysis of nonlinear switched systems was also investigated through the design of the mentioned adaptive control system and defining a VS switching rule. Finally, simulation results were presented to validate the novelty of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Robust adaptive control for a class of nonlinear switched systems using state-dependent switching

Noghredani

Pariz

2021

SN Appl. Sci.

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H_∞ control of delayed switched systems under asynchronous switching: New results without the constraint between the switching delay and the dwell time of submodes

Liu,

Yang,

Liu

et al. 2024

Optim Control Appl Methods

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This article investigates the control problem of switched systems with time‐varying delays under asynchronous switching. By reconstructing the switching rule of local controllers and empolying multiple Lyapunov functionals and integral inequalities, sufficient conditions without the constraint between the switching delay and the dwell time of submodes to solve the control problem are derived. The control gain matrices can be conveniently obtained by the proposed linear search algorithm.

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Non-fragile robust finite-time stabilization and $$H_{\infty }$$H∞ performance analysis for fractional-order delayed neural networks with discontinuous activations under the asynchronous switching

Peng

2018

Neural Comput & Applic

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Reliable H∞ Control of Switched Linear Systems

Cited by 4 publications

References 18 publications

Robust adaptive control for a class of nonlinear switched systems using state-dependent switching

Robust adaptive control for a class of nonlinear switched systems using state-dependent switching

H_∞ control of delayed switched systems under asynchronous switching: New results without the constraint between the switching delay and the dwell time of submodes

Non-fragile robust finite-time stabilization and $$H_{\infty }$$H∞ performance analysis for fractional-order delayed neural networks with discontinuous activations under the asynchronous switching

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Reliable H∞ Control of Switched Linear Systems

Cited by 4 publications

References 18 publications

Robust adaptive control for a class of nonlinear switched systems using state-dependent switching

Robust adaptive control for a class of nonlinear switched systems using state-dependent switching

H∞ control of delayed switched systems under asynchronous switching: New results without the constraint between the switching delay and the dwell time of submodes

Non-fragile robust finite-time stabilization and $$H_{\infty }$$H∞ performance analysis for fractional-order delayed neural networks with discontinuous activations under the asynchronous switching

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H_∞ control of delayed switched systems under asynchronous switching: New results without the constraint between the switching delay and the dwell time of submodes