带有结构不确定性的线性切换系统的鲁棒状态反馈镇定

Robust state feedback stabilization of switched linear systems with structural uncertainty

针对带有结构不确定性的线性切换系统,讨论系统的鲁棒状态反馈镇定问题。对自由系统,得到了一个在给定的切换律下Lyapunov稳定的充分条件。针对受控制系统,设计出一个有效的鲁棒状态反馈控制器,该控制器可以使闭环系统全局渐近稳定,基于Lyapunov方法证明了该受控制器的有效性。

For a class of switched linear systems with structural uncertainty, the problem of robust the state-feedback stabilization has been discussed in this paper. A sufficient condition which guarantees the free systems to be Lyapunov stable is derived. For the controlled systems, a kind of robust state feedback controller has been designed. This controller can guarantee the closed-loop systems to be globally asymptotically stable. Based on the Lyapunov method, the effectiveness of the controller has been shown.