Optimal Robust Control for a Class of Uncertain Discrete-Time Systems
一类不确定离散时间系统的最优鲁棒控制

In this paper, a linear robust state feedback controller is proposed for discrete-time single input systems containing uncertain elements. The controller is constructed via the second method of Lyapunov subject to four assumptions. It is proved to be optimal and its output is continuous. It guarantees that the state is bounded if matrix A is properly chosen. At last, the simulation examples are demonstrated.