不确定时滞系统的控制器设计

Controller design for uncertain time-delay systems

摘要:

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.

Abstract:

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. 