一类不确定脉冲混合系统的非脆弱控制器设计  

Design methods for non-fragile controllers for a class of uncertain impulsive hybrid systems

作　　者：陈国培[1] 李俊民[1] 杨莹[1] 

机构地区：[1]西安电子科技大学理学院,陕西西安710071

出　　处：《西安电子科技大学学报》2008年第1期65-70,共6页Journal of Xidian University

基　　金：国家自然科学基金资助(60374015)

摘　　要：针对离散部分为有限状态自动机的脉冲混合系统,在控制器增益出现参数不确定性的情况下,给出一种非脆弱的控制方法.同时考虑系统两部分的稳定性,提出了整个系统渐近稳定的概念.然后,基于最优路径的思想,通过控制事件的触发,使离散状态沿着最优路径无限次进入期望集,达到渐近稳定.同时,利用多Lyapunov函数方法,在连续子系统的加性摄动有界的情况下求解线性矩阵不等式,确定控制器的增益,使其也达到渐近稳定,从而使整个混合系统达到渐近稳定.A non-fragile control method for the impulsive hybrid system, whose discrete part is described by a finite state machine （FSM）, is presented. It can avoid the effect of the parameter uncertainty of the controller. By concerning the stability of two parts, a concept of asymptotical stability for the whole hybrid system is proposed. Then, based on the optimal road idea, the discrete state can visit the desired set infinitely often along the optimal road by controlling the firing of discrete event, i. e, , the FSM is stabilized. In addition, by using the multiple Lyapunov function, under the assumption that the additive gain variation of controller is bounded, the control gain is determined to stabilize the continuous subsystem by solving an LMI. So, the whole hybrid system is stabilized. A simulation example shows the effectiveness of the proposed approach. This approach can be used for computer integrated manufacturing systems and traffic management systems.

关 键 词：不确定性 脉冲混合系统 非脆弱控制 多LYAPUNOV函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]