Guaranteed cost control of uncertain discrete-time systems with delay in state

Peng Shi; Ramesh K. Agarwal; Shyh Pyng Shue

Guaranteed cost control of uncertain discrete-time systems with delay in state

Peng Shi, Ramesh K. Agarwal, Shyh Pyng Shue

Research output: Contribution to conference › Paper › peer-review

Abstract

This paper considers the problems of robust guaranteed cost control of linear discrete timedelay systems with parametric uncertainties. By linear matrix inequality (LMI) approach, the robust quadratic stability of the system is studied. A control design method is developed such that the closed-loop system with a cost function has a upper bound irrespective of all admissible parameter uncertainties and unknown time delays. Rirthermore, the upper bound (cost) can be optimized by incorporating with a minimization problem.

Original language	English
Pages	1371-1379
Number of pages	9
State	Published - 1999
Event	Guidance, Navigation, and Control Conference and Exhibit, 1999 - Portland, United States Duration: Aug 9 1999 → Aug 11 1999

Conference

Conference	Guidance, Navigation, and Control Conference and Exhibit, 1999
Country/Territory	United States
City	Portland
Period	08/9/99 → 08/11/99

Keywords

Discrete-time system
Guaranteed cost control
Parameter uncertainty
Quadratically stable
Time delay

Cite this

@conference{fc3cc5f619c14e50b7e89cd2e1178786,

title = "Guaranteed cost control of uncertain discrete-time systems with delay in state",

abstract = "This paper considers the problems of robust guaranteed cost control of linear discrete timedelay systems with parametric uncertainties. By linear matrix inequality (LMI) approach, the robust quadratic stability of the system is studied. A control design method is developed such that the closed-loop system with a cost function has a upper bound irrespective of all admissible parameter uncertainties and unknown time delays. Rirthermore, the upper bound (cost) can be optimized by incorporating with a minimization problem.",

keywords = "Discrete-time system, Guaranteed cost control, Parameter uncertainty, Quadratically stable, Time delay",

author = "Peng Shi and Agarwal, {Ramesh K.} and Shue, {Shyh Pyng}",

note = "Publisher Copyright: {\textcopyright} 1999 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.; Guidance, Navigation, and Control Conference and Exhibit, 1999 ; Conference date: 09-08-1999 Through 11-08-1999",

year = "1999",

language = "English",

pages = "1371--1379",

}

TY - CONF

T1 - Guaranteed cost control of uncertain discrete-time systems with delay in state

AU - Shi, Peng

AU - Agarwal, Ramesh K.

AU - Shue, Shyh Pyng

PY - 1999

Y1 - 1999

N2 - This paper considers the problems of robust guaranteed cost control of linear discrete timedelay systems with parametric uncertainties. By linear matrix inequality (LMI) approach, the robust quadratic stability of the system is studied. A control design method is developed such that the closed-loop system with a cost function has a upper bound irrespective of all admissible parameter uncertainties and unknown time delays. Rirthermore, the upper bound (cost) can be optimized by incorporating with a minimization problem.

AB - This paper considers the problems of robust guaranteed cost control of linear discrete timedelay systems with parametric uncertainties. By linear matrix inequality (LMI) approach, the robust quadratic stability of the system is studied. A control design method is developed such that the closed-loop system with a cost function has a upper bound irrespective of all admissible parameter uncertainties and unknown time delays. Rirthermore, the upper bound (cost) can be optimized by incorporating with a minimization problem.

KW - Discrete-time system

KW - Guaranteed cost control

KW - Parameter uncertainty

KW - Quadratically stable

KW - Time delay

UR - http://www.scopus.com/inward/record.url?scp=84959124980&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84959124980

SP - 1371

EP - 1379

T2 - Guidance, Navigation, and Control Conference and Exhibit, 1999

Y2 - 9 August 1999 through 11 August 1999

ER -

Guaranteed cost control of uncertain discrete-time systems with delay in state

Abstract

Conference

Keywords

Other files and links

Fingerprint

Cite this