描述系统及其控制问题

The descriptor system and its control problem

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.