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中文摘要：
考虑一类标称系统存在统一Lyapunov函数的线性不确定切换系统的鲁棒镇定问题，在不确定项满足一定限定条件下，利用完备性条件和统一Lyapunov函数方法，设计出鲁棒状态反馈控制器，使闭环系统仍然具有统一Lyapunov函数，从而在任意的切换策略下，确保闭环系统在其平衡点处是渐近稳定的．仿真结果表明所设计的控制器是有效的．
英文摘要：
Robust stabilization for a class of uncertain switched linear systems whose nominal systems have a common Lyapunov function was considered. With the certain restriction of uncertainty, a kind of robust controller of state feedback was constructed by using the completeness condition and common Lyapunov function technique. The closed-loop system still has a common Lyapunov function. The designed controller can guarantee the states of the closed-loop system asymptotically stable at the equilibrium point under an arbitrary switching strategy. Simulation result shows the validity of the designed controller.
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