不确定广义系统的圆形区域极点配置

考虑不确定连续或离散广义系统的圆形区域极点配置问题, 目的是设计状态反馈控制律, 使得闭环系统正则, 无脉冲(连续广义系统情形)或因果(离散广义系统情形), 且闭环极点位于一给定的圆形区域内. 给出了所期望的状态反馈控制律存在的充分条件及其解析表达式.

POLE ASSIGNMENT IN A SPECIFIED CIRCULAR REGION FOR UNCERTAIN SINGULAR SYSTEMS

In this paper, we consider the problem of pole assignment in a specified circular region for uncertain continuousand discretetime singular systems. The system under consideration is subjected to timeinvariant normbounded uncertainties in both the state and input matrices. The problem addressed is the design of state feedback controllers such that the closedloop system is regular, impulsefree (in the case of continuous singular systems) or causal (in the case of discrete singular systems), as well as satisfying that the finite closedloop poles are located within a prespecified circular region for all admissible uncertainties. The conditions for the existence of desired state feedback controllers are given and the analytic expression of expected controllers are proposed. The results can be viewed as extensions of existing results on robust pole assignment in a specified disk for uncertain statespace systems to uncertain singular systems.