具有多重状态时滞与控制时滞的广义系统非脆弱保代价控制  

Non-Fragile guaranteed cost control for singular systems with multi state-delay and control delay

作　　者：付兴建[1] 侯明[1] 

机构地区：[1]北京信息科技大学自动化学院,北京100192

出　　处：《北京信息科技大学学报（自然科学版）》2014年第5期31-35,共5页Journal of Beijing Information Science and Technology University

基　　金：北京市自然科学基金项目(4132009);北京市属高等学校高层次人才引进与培养计划项目(CIT&TCD201304120);北京市教委科技计划项目(KM201211232008);河北省教育厅青年基金项目(QN20131129)

摘　　要：针对一类不确定多时滞广义系统,该多时滞广义系统同时具有状态和控制时滞。假设不确定范数是有界的,且系统的状态是完全可测的,通过引进二次稳定性的概念,结合线性矩阵不等式的设计方法,给出了鲁棒非脆弱保代价控制的充分条件。通过对线性矩阵不等式的求解,可得非脆弱状态反馈鲁棒保代价控制器。该控制器对所有容许的不确定性,能保证闭环广义系统的稳定性,而且也能满足二次型代价函数的上界。最后,通过算例仿真表明所提出结论的可行性和有效性。The problem on robust non-fragile controller for a class of uncertain singular systems with multiple time-delay is studied. Under the assumption that the uncertainty is norm-bounded and the states of the singular system are available, based on the quadratic stability and method of linear matrix inequality, robust non-fragile guaranteed cost controller for singular systems with multi-time delay is obtained. The controller can make the closed-loop systems asymptotically stable, as well as satisfying the upper-bound of quadratic functions. Finally, simulation results with MATLAB show its feasibility and validity.

关 键 词：多时滞 广义系统 非脆弱 鲁棒保代价控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]