一类不确定切换系统的鲁棒状态反馈镇定

研究了一类扰动项不满足匹配条件的不确定切换系统的鲁棒镇定问题.在每个子系统均不能镇定的情况下,利用完备性条件和多李雅普诺夫函数方法,分别得到了不确定切换系统可镇定的充分条件.状态矩阵和控制输入矩阵同时带有时变、未知且有界的不确定性,基于凸组合技术和LMI方法,设计出鲁棒状态反馈控制器及相应的切换策略,使得闭环系统在其平衡点处是渐近稳定的.最后仿真结果表明所设计的控制器及切换策略的正确有效性.

Robust state feedback stabilization for a class of uncertain switched systems

The problem of robust stabilization for a class of uncertain switched systems is considered.The disturbance does not satisfy the so-called matching condition.By using condition of completeness and multiple Lyapunov function technique,sufficient conditions of robust stabilization for switched systems are obtained respectively under the assumption that each subsystem can not be stabilized.The parameter uncertainties are time-varying and unknown but are norm-bounded.Based on convex combinations technique and LMI(linear matrix inequality) method,robust state feedback controllers and two classes of switching laws are designed to make the closed-loop systems be asymptotically stable on the equilibrium point.The simulation results show the validity of the designed controllers and the switching law.