一类不确定线性切换系统的鲁棒控制器设计

Robust controller for a class of uncertain switched linear systems

利用Lyapunov函数方法,考虑了一类标称系统存在共同Lyapunov函数的不确定线性切换系统的鲁棒控制器设计问题。系统不仅受不满足匹配条件的干扰的作用,而且在输入通道上也具有不确定性,分别设计出了经状态反馈和输出反馈的鲁棒控制器,并设计出了切换律,证明了闭环系统在给定的切换策略下在其平衡点处的渐近稳定性。仿真结果表明所设计的控制器在给定的切换策略下,使得系统的状态是渐近稳定的。

Robust controllers for a class of switched linear systems whose nominal systems include the common Lyapunov function are designed using the Lyapunov function method. The systems not only contain disturbances themselves, but also experience uncertainties in the input channels. The disturbances do not satisfy the so-called matching condition. A kind of robust state-feedback controller and a kind of robust output-feedback controller are constructed. The switching strategy is also designed. With the given switching laws, the controllers guarantee that the states of closed-loop systems asymptotically converge to the equilibrium point. A simulation shows how the controllers make the system states asymptotically appoach a stability.