Generalized quadratic stabilization for perturbated discrete-time singular systems with delayed state

Guoping Lu; Daniel W.C. Ho

doi:10.1109/ICCA.2003.1594983

Generalized quadratic stabilization for perturbated discrete-time singular systems with delayed state

Department of Mathematics

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

4 Citations (Scopus)

Abstract

This paper discusses a generalized quadratic stabilization problem for a class of discrete-time singular system with time-delay and nonlinear perturbation (DSSDP) which satisfies Lipschitz condition. By means of S-procedure approach, necessary and sufficient condition is presented via matrix inequality such that the control system is generalized quadratically stabilizable. An explicit expression of static state feedback controllers is obtained via some free choices of parameters. It is shown in this paper that generalized quadratic stability also implies exponential stability for linear discrete-time singular systems or more general DSSDP. © 2003 IEEE.

Original language	English
Title of host publication	The Fourth International Conference on Control and Automation (ICCA'03)
Place of Publication	Canada
Publisher	IEEE
Pages	53-57
ISBN (Print)	0-7803-7777-X
DOIs	https://doi.org/10.1109/ICCA.2003.1594983
Publication status	Published - Jun 2003
Event	4th International Conference on Control and Automation, ICCA 2003 - Montreal, Que., Canada Duration: 10 Jun 2003 → 12 Jun 2003

Conference

Conference	4th International Conference on Control and Automation, ICCA 2003
Abbreviated title	ICCA 2003
Place	Canada
City	Montreal, Que.
Period	10/06/03 → 12/06/03

Research Keywords

Discrete-time singular system
Generalized quadratic stabilization
Perturbation
State feedback
Time-delay

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10.1109/ICCA.2003.1594983

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title = "Generalized quadratic stabilization for perturbated discrete-time singular systems with delayed state",

abstract = "This paper discusses a generalized quadratic stabilization problem for a class of discrete-time singular system with time-delay and nonlinear perturbation (DSSDP) which satisfies Lipschitz condition. By means of S-procedure approach, necessary and sufficient condition is presented via matrix inequality such that the control system is generalized quadratically stabilizable. An explicit expression of static state feedback controllers is obtained via some free choices of parameters. It is shown in this paper that generalized quadratic stability also implies exponential stability for linear discrete-time singular systems or more general DSSDP. {\textcopyright} 2003 IEEE.",

keywords = "Discrete-time singular system, Generalized quadratic stabilization, Perturbation, State feedback, Time-delay",

author = "Guoping Lu and Ho, {Daniel W.C.}",

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Generalized quadratic stabilization for perturbated discrete-time singular systems with delayed state. / Lu, Guoping; Ho, Daniel W.C.
The Fourth International Conference on Control and Automation (ICCA'03). Canada: IEEE, 2003. p. 53-57.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

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AU - Ho, Daniel W.C.

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N2 - This paper discusses a generalized quadratic stabilization problem for a class of discrete-time singular system with time-delay and nonlinear perturbation (DSSDP) which satisfies Lipschitz condition. By means of S-procedure approach, necessary and sufficient condition is presented via matrix inequality such that the control system is generalized quadratically stabilizable. An explicit expression of static state feedback controllers is obtained via some free choices of parameters. It is shown in this paper that generalized quadratic stability also implies exponential stability for linear discrete-time singular systems or more general DSSDP. © 2003 IEEE.

AB - This paper discusses a generalized quadratic stabilization problem for a class of discrete-time singular system with time-delay and nonlinear perturbation (DSSDP) which satisfies Lipschitz condition. By means of S-procedure approach, necessary and sufficient condition is presented via matrix inequality such that the control system is generalized quadratically stabilizable. An explicit expression of static state feedback controllers is obtained via some free choices of parameters. It is shown in this paper that generalized quadratic stability also implies exponential stability for linear discrete-time singular systems or more general DSSDP. © 2003 IEEE.

KW - Discrete-time singular system

KW - Generalized quadratic stabilization

KW - Perturbation

KW - State feedback

KW - Time-delay

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M3 - RGC 32 - Refereed conference paper (with host publication)

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SP - 53

EP - 57

BT - The Fourth International Conference on Control and Automation (ICCA'03)

PB - IEEE

CY - Canada

T2 - 4th International Conference on Control and Automation, ICCA 2003

Y2 - 10 June 2003 through 12 June 2003

ER -

Generalized quadratic stabilization for perturbated discrete-time singular systems with delayed state

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