전자공학회논문지 IE

대한전자공학회 (The Institute of Electronics and Information Engineers)
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Lyapunov 방정식을 이용한 불확실한 선형 시스템의 안정한 섭동 유계 해석

The Interpretation Stability Uncertain Bound for the Uncertain Linear Systems via Lyapunov Equations

  • 조도현 (인하공업대학 디지털전자정보과) ;
  • 이상훈 (광운대학교 교양학부) ;
  • 이종용 (광운대학교 교양학부)
  • Cho, Do-Hyeoun (Dept. of Digital Electronics & Information Inha Tech. Col.) ;
  • Lee, Sang-Hun (Division of General Education, Kwang-woon University) ;
  • Lee, Jong-Yong (Division of General Education, Kwang-woon University)
  • 발행 : 2007.12.25
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초록

본 논문에서는 섭동 시스템 행렬을 가지는 선형 시스템에 대하여 Lyapunov 방정식과 함수를 고려하여 섭동 유계를 유도한다. 그리고 Lyapunov 함수의 도함수가 음의 정의로 보장되는 가장 큰 섭동 구간을 허락하는 Lyapunov 함수의 선택에 대하여 고려한다. 행렬 계수를 가지는 행렬 리카티 방정식의 해 존재에 대하여 살펴보며, 예를 통하여 검증한다.

In this paper, we use Lyapunov equations and functions to consider the linear systems with perturbed system matrices. And we consider that what choice of Lyapunov function V would allow the largest perturbation and still guarantee that V is negative definite. We find that this is determined by testing for the existence of solutions to a related quadratic equation with matrix coefficients and unknowns the matrix Riccati equation.

키워드

참고문헌

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