状态饱和离散时间切换系统的鲁棒控制  

Robust control of discrete-time switched systems with state saturation

作　　者：景丽[1] 李静[1] 

机构地区：[1]沈阳师范大学数学与系统科学学院,辽宁沈阳110034

出　　处：《辽宁工程技术大学学报（自然科学版）》2016年第8期872-877,共6页Journal of Liaoning Technical University (Natural Science)

基　　金：沈阳师范大学重大孵化项目(ZD201420)

摘　　要：为解决状态饱和切换系统的鲁棒控制问题,采用范数方法处理饱和函数,将状态饱和切换系统转化为一般切换系统;进一步采用单Lyapunov函数法镇定切换系统,得到系统渐近稳定的充分条件及系统的吸引域,并将之转化为线性矩阵不等式形式;另外给出两个算例并用Simulink仿真.研究结果表明:满足渐近稳定充分条件的状态反馈控制器设计、切换策略设计可以镇定系统,系统最大吸引域的估计方案是有效的;标称系统有关结果可以被推广到相应的不确定系统.To solve the robust stabilization problems of switched systems with state saturation, this paper uses norm theory to deal with the state saturation function and changes the switched systems with state saturation into ordinary switched systems. Further the paper uses single Lyapunov function method to stabilize the switched systems. The sufficient condition of the stability and the attraction domain of the system are provided and changed into linear matrix inequalities. Two examples are given and simulated with Simulink. The result shows that the designed state feed-back controllers and switching strategies can stabilize the systems if the sufficient conditions of asymptotic stability of the systems are satisfied. The estimation schemes on attraction domains of stability of the systems are effective. The above results on the normal system are extended to the uncertain switched system with state saturation.

关 键 词：范数 单Lyapunov函数法 状态饱和 离散时间切换系统 鲁棒控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]