Robust Control of Uncertain Discrete-Time Systems with Closed-Loop Pole and Variance Constraints
具有闭环极点和方差约束的不确定离散系统鲁棒控制

The problem of designing the state feedback controllers is studied which guarantee the closed-loop poles within a specifiled disc and steady-state variances to be less than given uppper bounds for linear discrete-time systems with norm-bounded paramdter uncertatainties. Based on the linear matrix inequality approach, existence conditions of rotust variance controllers and derived. A parameterized representation of robust varance controllers in provided in tems of the feasible solutions to a certain linear matrix inequality system. Furthemore, the design problem of the minimum-effect robust variance controller is formulated as a convex optimization problem.