一类多时滞广义不确定系统的二次稳定性与鲁棒H_∞控制  

Quadratic stability and robust H_∞ control for a class of generalized uncertain systems with multi-time delay

作　　者：付兴建[1] 童朝南[1] 

机构地区：[1]北京科技大学信息工程学院

出　　处：《兰州理工大学学报》2005年第6期85-88,共4页Journal of Lanzhou University of Technology

摘　　要：针对一类广义不确定性多时滞系统,研究了其二次稳定性及H∞状态反馈控制器的设计.假定其中的不确定性是范数有界的,通过构造改进的Lyapunov泛函,给出了其二次稳定性及H∞状态反馈控制器存在的条件.所设计的控制器对所有容许的不确定性不仅使得相应的闭环系统渐进稳定,也能保证闭环系统满足一定的H∞性能指标,达到抑制干扰的效果.Aimed at a class of generalized uncertain multi-time delay systems, the investigation of quadratic stability was conducted and H∞-state feedback controller was designed. Based on the modified Lyapunov functional,and taking the assumption that the uncertainty is norm-bounded, the existence conditions of quadratic stability and H∞-state feedback controller were given. The controller designed can make the closed-loop systems asymptotically stable,and satisfactory to definite requirement of H; properties, obtaining the effect of disturbance restraining.

关 键 词：时滞 不确定性 二次稳定 状态反馈 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]