不确定时滞系统的控制器设计

摘要

To eliminate time delay and uncertainty that cause some undesired effects in the actual system, using robust control system design techniques, a feedback gain controller is designed which allows the system to meet design requirements within the allowable range of uncertainty, and reduces the sensitivity of the system. A class of stability control problem for uncertain time-varying delay systems with state delay is investigated. By materializing uncertain structural information and constructing a new appropriate Lyapunov-Krasovskii functional based on LMIS, the controller design method is derived. Key words: schur complement lemma; state feedback control; uncertain time-delay systems%为了消除时滞和不确定性给实际系统造成的不良影响，采用鲁棒控制系统设计技术，进行鲁棒控制，对具有不确定性的系统，设计1个反馈增益控制器，使系统在不确定性的容许变化范围内满足设计要求，降低系统的灵敏度．通过构造一种新的Lyapunov泛函方法，研究了一类带有时变时滞的不确定系统的鲁棒控制问题．通过细化不确定信息的结构，给出了基于线性矩阵不等式的控制器设计方法．