Stability analysis and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si14.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math> controller synthesis of discrete-time switched systems with time delay

Li, Zhicheng; Gao, Huijun; Karimi, Hamid Reza

doi:10.1016/j.sysconle.2013.12.010

Cited by 70 publications

(2 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Wu and Zheng [20], the

{H}_{\infty }

reduced order model problem of delayed switched systems was studied, and a model was constructed to make the error system exponentially stable under a given weighted

{H}_{\infty }

performance index. In Li et al [21], stability analysis and

{H}_{\infty }

controller design of delayed switched systems using input–output approach were studied, and an improved delay‐dependent stability criterion was proposed for the asymptotic stability of interconnected systems.…”

Section: Introductionmentioning

confidence: 99%

Event‐triggered H_∞ control of discrete‐time switched linear systems with delays

Ling

Liu

Wang

et al. 2022

Asian Journal of Control

View full text Add to dashboard Cite

This paper studies the H∞$$ {H}_{\infty } $$ control problem of discrete‐time delayed switched systems with average dwell time switching signals using event‐triggered mechanism. The event‐triggered mechanism can reduce redundant information transmission. First, employing state‐feedback controller, two sufficient conditions are proposed to guaranteeing (i) exponential stability of the disturbance‐free closed‐loop system and (ii) H∞$$ {H}_{\infty } $$ performance of the closed‐loop system with disturbance. Moreover, the controller gain is explicitly computed by solving a set of linear matrix inequalities. Second, results obtained for state‐feedback controller are extended to those for observer‐based state‐feedback controller, and both the controller and observer gains are explicitly computed. All conditions are derived by utilizing a properly constructed decay‐rate‐dependent Lyapunov functional. Finally, a numerical example illustrates the validity of the obtained theoretical results.

show abstract

“…In Wu and Zheng [20], the

{H}_{\infty }

reduced order model problem of delayed switched systems was studied, and a model was constructed to make the error system exponentially stable under a given weighted

{H}_{\infty }

performance index. In Li et al [21], stability analysis and

{H}_{\infty }

Section: Introductionmentioning

confidence: 99%

Event‐triggered H_∞ control of discrete‐time switched linear systems with delays

Ling

Liu

Wang

et al. 2022

Asian Journal of Control

View full text Add to dashboard Cite

show abstract

“…Time delays play an important role in control systems, since a delay naturally appears when a system wants to measure or react to information. Stability or stabilization of a system is one of the central question which is investigated in control theory [10][11][12]. Because of its simplicity, the bounded input bounded output (BIBO) stability of control systems is widely investigated.…”

Section: Introductionmentioning

confidence: 99%

BIBO stability of discrete control systems with several time delays

Awwad

Győri²,

Hartung³

2018

MMN

View full text Add to dashboard Cite

show abstract

Fault estimation and tolerant control for discrete‐time switched systems with sojourn probabilities

Sakthivel

Joby

Santra

et al. 2017

Adaptive Control & Signal

View full text Add to dashboard Cite

This paper addresses the issue of fault estimation and accommodation for a discrete-time switched system with actuator faults. Here, we assume that the sojourn probabilities are known a priori. By using the reduced-order observer method, the sojourn probability approach, and the Lyapunov technique, a fault estimation algorithm is obtained for the considered system. The main objective of this work is to design a dynamic output feedback fault-tolerant controller based on the obtained fault estimation information such that the closed-loop discrete-time switched system with available sojourn probabilities is robustly mean-square stable and satisfies a prescribed mixed H ∞ and passivity disturbance attenuation level in the presence of actuator faults. More precisely, a dynamic output feedback fault-tolerant controller is established in terms of linear matrix inequalities. Finally, numerical examples are provided to illustrate the usefulness and effectiveness of the proposed design technique.

show abstract

Stability analysis and H∞ controller synthesis of discrete-time switched systems with time delay

Cited by 70 publications

References 35 publications

Event‐triggered H_∞ control of discrete‐time switched linear systems with delays

Event‐triggered H_∞ control of discrete‐time switched linear systems with delays

BIBO stability of discrete control systems with several time delays

Fault estimation and tolerant control for discrete‐time switched systems with sojourn probabilities

Contact Info

Product

Resources

About

Stability analysis and H∞ controller synthesis of discrete-time switched systems with time delay

Cited by 70 publications

References 35 publications

Event‐triggered H∞ control of discrete‐time switched linear systems with delays

Event‐triggered H∞ control of discrete‐time switched linear systems with delays

BIBO stability of discrete control systems with several time delays

Fault estimation and tolerant control for discrete‐time switched systems with sojourn probabilities

Contact Info

Product

Resources

About

Event‐triggered H_∞ control of discrete‐time switched linear systems with delays

Event‐triggered H_∞ control of discrete‐time switched linear systems with delays