摘要
研究含范数有界不确定性的脉冲切换系统的鲁棒非脆弱H∞控制问题。笔者考虑的控制器增益摄动包括加性摄动和乘性摄动两种形式。利用线性矩阵不等式技术得到了非脆弱控制器存在的充分条件以及控制器增益的求解方法;所设计的控制器在容许的增益摄动下,保证了闭环系统的鲁棒指数稳定性和H∞性能指标。算例验证了设计方法的有效性。
The problem of robust non-fragile H∞ control for a class of impulsive switching systems with norm bounded parameter uncertainty is dealt with.The controller to be designed is assumed to have additive and multiplicative controller gain variations.By using linear matrix inequality technique,the sufficient condition on the existence of non-fragile controller was derived and the solution to the controller gain was also solved.For all admissible uncertainties,the designed controller ensures the robust exponential stability and H∞ performance index of the closed-loop system.A numerical example was given to illustrate the effectiveness of the proposed method.
出处
《太原理工大学学报》
CAS
北大核心
2010年第4期445-448,共4页
Journal of Taiyuan University of Technology
关键词
脉冲切换系统
非脆弱控制
线性矩阵不等式
impulsive switched systems
non-fragile control
linear matrix inequality
