一类线性不确定系统基于切换的输出反馈镇定

Output-feedback stabilization for a class of uncertain linear system based on switching technique

对一类不确定线性系统,通过控制器切换研究混杂输出反馈鲁棒镇定问题。假设存在有限个备选的控制增益已知的控制器,并且任何单一的输出反馈控制器都不能镇定系统。基于单Lyapunov函数的方法,给出了混杂输出反馈控制器的切换律设计方案,使得闭环系统对所有允许的不确定性,在所设计的切换律下是渐近稳定的,并应用线性矩阵不等式(LMIs)的可解性给出了闭环系统鲁棒镇定的充分条件。最后用仿真验证了文中方法的有效性。

This paper focuses on the hybrid output-feedback robust stabilization problem for a class of uncertain linear systems based on switching technique. Suppose there exist finite candidate controllers with known controller gain matrices and none of the controllers can make the system stabilization by dynamics output-feedback. Based on single Lyapunov function method, a conceptual design is given to the hybrid output-feedback controllers switching laws such that the corresponding closed-loop system is globally asymptotically stable for all admissible uncertainties, to which a sufficient condition is given in terms of linear matrix inequalities（LMIs）. The simulation demonstrates the effectiveness of the method proposed in this paper.