线性不确定时滞系统鲁棒保代价/H_∞混合控制  

Robust mixed guaranteed cost/H_∞ control of linear uncertain time - delay systems

作　　者：王德进[1] 

机构地区：[1]黑龙江大学电子工程学院,黑龙江哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2003年第4期32-37,46,共7页Journal of Natural Science of Heilongjiang University

摘　　要：对一类线性范数有界不确定时滞系统,提出了鲁棒保代价/H∞混合控制的概念。基于线性矩阵不等式(LMI)方法,给出了该问题的线性凸优化解法。所设计的状态反馈控制器不依赖于系统的时滞,并对所有容许的不确定性,保证闭环系统的稳定性、二次型代价函数的上界、和外部干扰抑制水平。数值仿真算例说明了方法的有效性。A concept of Robust mixed guaranteed cost/H∞control for a class of linear time -delay systems with norm -bounded uncertainties is proposed. A linear convex programming algorithm for solving this kind of mixed control problem is given in terms of linear matrix inequality(LMI). The designed state feedback control law, which is independent of time-delay, guarantees the closed-loop stability, the upper -bound of quadratic cost function and the exogenous disturbance attenuation level, for all admissible uncertainties. A numerical simulation example illustrates the effectiveness of proposed approach.

关 键 词：鲁棒控制 保代价H∞混合控制 时滞系统 不确定系统 线性矩阵不等式(LMI) 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]