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

The Institute of Electronics and Information Engineers (대한전자공학회)
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Robust Decentralized Stabilization of Uncertain Large-Scale Discrete-Time Systems with Delays

시간지연을 갖는 이산시간 대규모 시스템의 강인 제어기 설계

  • Park, Ju-Hyeon (Dept.of Electronics Information Engineering, Yeungnam University)
  • 박주현 (영남대학교 전자정보공학부)
  • Published : 2000.11.01
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Abstract

This paper describes the synthesis of robust decentralized controllers for uncertain large-scale discrete-time systems with time-delays in subsystem interconnections. Based on the Lyapunov method, a sufficient condition for robust stability, is derived in terms of a linear matrix inequality (LMI). The solutions of the LMI can be easily obtained using various efficient convex optimization techniques. A numerical example is given to illustrate the proposed method.

본 논문에서는 부 시스템간의 상호 연결 시 시간지연을 갖는 이산시간영역의 섭동을 갖는 대규모 시스템의 강인 안정화를 위한 분산 제어기를 설계한다. 안정화를 도모하기 위하여 상태 궤환 제어기를 이용하였으며, 이러한 제어기의 존재를 보장하는 충분조건을 리아프노프 안정성 해석법을 이용하여 선형행렬 부등식으로 표현하였다. 이 부등식의 해는 다양한 최적화 알고리즘을 이용하여 쉽게 찾을 수 있으며, 이 부등식의 해로부터 제어기의 게인 행렬도 쉽게 구할 수 있다. 제안된 방법을 예제를 통하여 살펴보았다.

Keywords

References

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