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。 Using the Lyapunov function method, a robust controller design problem for a class of uncertain switched linear systems with a nominal Lyapunov function is considered. The system is not only affected by the interference that does not meet the matching conditions, but also has the uncertainties on the input channel. Robust controllers are designed via state feedback and output feedback respectively, and the switching law is designed to prove that the closed-loop system Asymptotic Stability at Its Equilibrium Point for a Given Switching Strategy. The simulation results show that the designed controller is asymptotically stable under the given switching strategy.