전자공학회논문지SC (Journal of the Institute of Electronics Engineers of Korea SC)

대한전자공학회 (The Institute of Electronics and Information Engineers)
권호 표지

시변 시간지연을 가지는 이산 선형 불확실성 시스템에 대한 보장 비용 제어

Guaranteed Cost Control for Discrete-time Linear Uncertain Systems with Time-varying Delay

  • 김기태 (慶北大學校 電子電氣컴퓨터學部) ;
  • 조상현 (慶北大學校 電子電氣컴퓨터學部) ;
  • 이상경 (斗源工科大學 自動化시스템科) ;
  • 박홍배 (慶北大學校 電子電氣컴퓨터學部)
  • Kim, Ki-Tae (School of and Electrical Engineering, and Computer Science Kyungpook National University) ;
  • Cho, Sang-Hyun (School of and Electrical Engineering, and Computer Science Kyungpook National University) ;
  • Lee, Sang-Kyung (Department of Automation Systems, Doowon Technical College) ;
  • Park, Hong-Bae (School of and Electrical Engineering, and Computer Science Kyungpook National University)
  • 발행 : 2002.11.01
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초록

본 논문에서는 시변 시간지연을 가지는 이산 선형 불확실성 시스템에 대한 보장 비용 제어문제를 다룬다. 본 논문에서 다루는 불확실성 시스템은 시변 노옴 한정 파라미터 불확실성을 가진다. 모든 허용 가능한 불확실성에 대해 폐루프 시스템이 자승적으로 안정하고 성능을 보장하는 제어기가 존재할 충분조건과 설계방법에 대해 논의한다. 또한, 변수 치환과 Schur 여수정리 등을 이용하여 충분조건을 모든 변수에 대한 선형 행렬 부등식(linear matrix inequality)으로 표현한다.

This paper deals with the guaranteed cost control problems for a class of discrete-time linear uncertain systems with time-varying delay. The uncertain systems under consideration depend on time-varying norm-bounded parameter uncertainties. We address the existence condition and the design method of the memoryless state feedback control law such that the closed loop system not only is quadratically stable but also guarantees an adequate level of performance for all admissible uncertainties. Through some changes of variables and Schur complement, It is shown that the sufficient condition can be rewritten as an LMI(linear matrix inequality) form in terms of all variables.

키워드

참고문헌

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