Robust SMC of Uncertain Time-Varying Systems Dissatisfying Matching Condition
不满足匹配条件的非确定性系统的鲁棒滑模控制

In this paper, the SMC approach is applied to the system in order to establish robust stability against uncertainties both in the system matrix and input matrix. The method of switching surface designing and the control law are given. Sufficient conditions under which the sliding mode system is quadratically stable are also deduced. The relative algebraic Riccati equation and linear matrix inequality are quite simple, thus can be solved without much difficulty. Simulation results confirm the validity of the scheme.