한국항행학회논문지 (Journal of Advanced Navigation Technology)

  • 제24권6호
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  • Pages.549-556
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  • 2020
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  • 1226-9026(pISSN)
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  • 2288-842X(eISSN)
한국항행학회 (The Korean Navigation Institute)
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마코프 지연을 갖는 네트워크 제어 시스템을 위한 상태 궤환 제어기 설계

A State Feedback Controller Design for a Networked Control System with a Markov Delay

  • 양장훈 (서울미디어대학원대학교 인공지능 응용소프트웨어학과)
  • Yang, Janghoon (Department of AI Software Engineering, Seoul Media Institute of Technology)
  • 투고 : 2020.10.04
  • 심사 : 2020.12.16
  • 발행 : 2020.12.30
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초록

이 논문에서는 마코프 프로세스로 모델링되는 전송 오류나 전송 지연이 있는 네트워크 제어 시스템을 위한 제어기 설계 방법들을 제안한다. 마코프 지연을 갖는 제어 시스템을 위한 안정화 조건을 지연 의존적인 리아프노프-크라소프스키 범함수가 증가된 제어 시스템의 리아프노프 함수와 동일한 형태를 갖는다는 점을 이용하여 찾는다. 유도된 안정화 조건으로부터 복잡도를 줄이기 위한 수 개의 제어 설계기 방법을 제안한다. 모의 실험을 통하여 제안된 방법 중 행렬 변수의 탐색 공간을 블록 대각 행렬로 제한하는 제한 부분 공간 방법이 성능과 복잡도 사이에서 가장 좋은 트레이드오프를 제공함을 확인되었다.

This paper proposes several suboptimal methods of designing a controller for a networked control system with state feedback where delay due to transmission error and transmission delay is modeled as a Markov process. A stability condition for a control system with Markov delay is found through an equivalent relationship that corresponding delay-dependent Lyapunov-Krasovskii functional has the same form of the Lyapunov function of an augmented control system. Several suboptimal methods of designing a controller from the stability condition are proposed to reduce complexity. A simple numerical experiment shows that a restricted subspace method which limits the search space of a matrix variable to a block diagonal form provides the best tradeoff between the complexity and performance.

키워드

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