摘要
针对一类在有限时间下的时滞奇异系统,考虑参数不确定性和有限外部扰动的影响,研究了其基于非脆弱状态反馈控制器的鲁棒保成本控制问题.分别对控制器增益具有加法式摄动和乘法式摄动研究了控制器的设计问题,并通过对闭环系统有限时间稳定且满足系统的成本函数具有上界的研究得到解决,控制器的设计可通过求解一组线性矩阵不等式得到,最后的数值算例说明了所给方法的有效性.
Aiming at a class of finite time uncertain singular systems with norm bounder perturbations in state variables,the problem of controller-based robust guaranteed cost control is discussed.two classes of perturbations are considered,namely,additive and multiplicative,this problem is solved via the notion of finite time stability and provides a guaranteed cost function norm bound,and the controller can be obtained by solving a set of linear matrix inequaUties,finally,an illustrative example shows the effectiveness of the proposed design method.
出处
《数学的实践与认识》
北大核心
2016年第4期124-131,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(61064002)
教育部"新世纪优秀人才支持计划"专项(NCET-06-0756)
