一类切换系统的鲁棒控制

考虑了一类标称系统存在共同Lyapunov函数的非线性不确定切换系统的鲁棒镇定问题·不确定性不满足匹配条件,分别设计出了经过状态反馈和输出反馈鲁棒控制器·在不确定项满足一定的限定条件下,使不确定闭环系统仍然具有共同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·最后的仿真说明了文中结论的正确有效性·

Robust Control of a Class of Switched Systems

Robust stabilization for a class of switched systems whose nominal systems have common Lyapunov function was considered. The nonlinear uncertainty does not satisfy so called matching condition. A kind of robust controller of state feedback and a kind of robust controller of output feedback were constructed. With the certain restriction of uncertainty, the closed loop system still has a common Lyapunov function. The designing controllers can guarantee the states of closed loop system asymptotically converging to the equilibrium point under arbitrary switching strategy.