摘要
研究了一类不确定离散时滞系统鲁棒渐近稳定下的保成本与H∞扰动衰减问题.基于Lyapunov稳定性理论和线性矩阵不等式(LMI)方法,得到了保成本H∞状态反馈控制器存在的一个充分条件.通过求解一个特定的线性矩阵不等式,即可得到镇定已知系统的保成本H∞控制律,并用算例验证了该设计方法的有效性.
This paper deals with the problem of guaranteed cost and H~∞ disturbance attenuation during the robust asymptotic stabilization period of a class of uncertain discrete time-delay systems. Based on Lyapunov stability theory and the linear matrix inequalities (LMI) approach, a sufficient condition is presented for the existence of guaranteed cost H~∞ state feedback controllers. By solving a certain linear matrix inequality, the guaranteed cost H~∞ control laws are obtained. A numeric example is given to demonstrate the effectiveness and superiority of the designing method.
出处
《应用科学学报》
CAS
CSCD
2004年第4期545-548,共4页
Journal of Applied Sciences
关键词
不确定性
离散时滞系统
保成本控制
H^∞控制
线性矩阵不等式
uncertainty
discrete time-delay systems
guaranteed cost control
H~∞ control
linear matrix inequalities
