Passive control of switched singular systems via output feedback
type: Item
instance of: scholarly article
title: Passive control of switched singular systems via output feedback
zbMATH Open document ID: 1394.93122
DOI: 10.1155/2015/573950
author: Shuhui Shi
author: Guoliang Wang
author: Jianhua Wang
author: Hong Li
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: An instrumental matrix approach to design output feedback passive controller for switched singular systems is proposed in this paper. The nonlinear inequality condition including Lyapunov inverse matrix and controller gain matrix is decoupled by introducing additional instrumental matrix variable. Combined with multiple Lyapunov function method, the nonlinear inequality is transformed into linear matrix inequality (LMI). An LMI condition is presented for switched singular system to be stable and passive via static output feedback under designed switching signal. Moreover, the conditions proposed do not require the decomposition of Lyapunov matrix and its inverse matrix or fixing to a special structure. The theoretical results are verified by means of an example. The method introduced in the paper can be effectively extended to a single singular system and normal switched system.
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93C70
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 6926682
Wikidata QID: Q59119401
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/573950
OpenAlex ID: W1740903390
cites work: Positive \(N\)-periodic descriptor control systems
cites work: Synchronization analysis of singular hybrid coupled networks
cites work: Stability and stabilization of continuous-time singular hybrid systems
cites work: Stability of switched linear discrete-time descriptor systems: a new commutation condition
cites work: On the stability issues of switched singular time‐delay systems with slow switching based on average dwell‐time
cites work: Reachability Conditions for Switched Linear Singular Systems
cites work: Delay-independent criteria for exponential admissibility of switched descriptor delayed systems
cites work: Stability analysis of switched linear singular systems
cites work: Reliable \(H _{\infty }\) filtering for discrete-time switched singular systems with time-varying delay
cites work: Exponential \(H_{\infty}\) filtering for discrete-time switched singular systems with time-varying delays
cites work: Unknown Input Observers for Switched Nonlinear Discrete Time Descriptor Systems
cites work: Robust Passive Control for Uncertain Time-Delay Singular Systems
cites work: Passivity and Passification for Networked Control Systems
cites work: Wirtinger's inequality and Lyapunov-based sampled-data stabilization
cites work: Stability and \(L_2\)-gain analysis of networked control systems under round-robin scheduling: a time-delay approach
cites work: Passivity-based resilient adaptive control for fuzzy stochastic delay systems with Markovian switching
cites work: Optimal finite-time passive controller design for uncertain nonlinear Markovian jumping systems
cites work: Passivity of switched linear systems: analysis and control design
cites work: Robust reliable passive control of uncertain stochastic switched time-delay systems
cites work: Dissipative control for singular Markovian jump systems with time delay
Recommended article: Q4663011
Recommended article: Input and output strictly passive \(H_\infty\) control of continuous switched singular systems
Recommended article: Output feedback controller design for discrete-time switched singular systems
Recommended article: On output feedback control of singularly perturbed systems
Recommended article: Output strictly passive \(H_\infty\) control of discrete-time linear switched singular systems via proportional plus derivative state feedback
Recommended article: Q3016815
Recommended article: Output strictly passive control of uncertain singular neutral systems
Recommended article: Output feedback passification of saturated switched systems
Recommended article: Passivity-based control of hybrid impulsive and switching systems with singular structure
Recommended article: Q5296890
description: scientific article; zbMATH DE number 6926682