摘要
介绍了描述系统的基本特性,对有限模态,无限模态和静态约束都用例题作了说明。对描述系统的有关概念,如指数能控(能观测)、脉冲能控(能观测)、(E,A)容许等也作了说明。给出了与描述系统稳定性和性能有关的广义李雅普诺夫定理和广义有界实引理,并简要介绍了描述系统的标准H∞控制问题。
This paper presents a review of the descriptor system. Basic features of the descriptor system are introduced. The finite dynamic mode, the impulsive mode and the static constraint are illustrated with examples. The related concepts such as finite dynamics controllable(observable), impulse controllable(observable) and(E, A) admissible are also explained in this paper. The theorem and lemma related to the stability and performance properties of the descriptor system, such as the generalized Lyapunov theorem and the generalized bounded real lemma are given. The standard H∞ control problem for descriptor systems is also introduced briefly in this paper.
出处
《电机与控制学报》
EI
CSCD
1999年第4期219-222,共4页
Electric Machines and Control
基金
本课题受国家教委博士点基金!(96021314)
211工程资助
关键词
描述系统
矩阵束
李雅普诺夫定理
控制问题
descriptor system
matrix pencil, generalized Lyapunov theorem, generalized algebraic Riccati equation