Robust stabilizing control for discrete-time uncertain systems

Based on the Lyapunov stability criterion, a method was presented to study the robust stabilizing feedback control law for uncertain discrete-time systems. This method can be used to calculating the weighted matrix in terms of the solution of a matrix whose uncertainty is of ″rank-1″ type, and then designing the robust stabilizing controller according to the Riccati equation about the linear optimal controller. Meanwhile, the uncertainty of the control matrix and the existence of robust stabilizing controller were discussed.