时滞不确定系统的非脆弱状态反馈鲁棒控制  

Robust non-fragile state feedback control for uncertain systems with time-delay

作　　者：陈东彦[1] 安军芳[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2008年第3期291-296,共6页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(10471031;10771047)

摘　　要：研究带有非线性摄动的时滞系统的非脆弱状态反馈鲁棒控制问题。首先通过构造一个Lyapunov-Krasovskii泛函,利用积分不等式,并引入含有自由权矩阵的恒等式,表示出所给泛函沿系统的导数,再利用S-过程推导出系统时滞相关鲁棒稳定的充分条件;然后利用线性矩阵不等式(LMI)技巧,并结合Schur补给出了系统非脆弱状态反馈控制器的设计方法。两个数值算例验证了所得结果的可行性与有效性。Consider the problem of robust non - fragile state feedback control of systems with time - delay and non- linear perturbation. First, a Lyapunov - Krasovskii functional is constructed. Then, the derivative of Lyapunov - Krasovskii functional along the trajectories of the systems is derived by using an integral inequality and introducing identities with free weighting matrices. Appling S - procedure, the delay - dependent robust stability criterion is obtained. Furthermore, a sufficient condition is proposed for the design of robust non - fragile state feedback control- ler in terms of linear matrix inequalities （LMIs） and Schur complement. Finally, two numerical examples are given to illustrate the feasibility and effectiveness of the proposed techniques.

关 键 词：时滞不确定系统 非线性摄动 时滞相关鲁棒稳定 非脆弱状态反馈 自由权矩阵 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]