随机时滞线性重复过程的鲁棒H∞控制

In this paper, We investigate the problem of Control for a class of stochastic time-delay linear continuous repetitive processes. Attention is focused on the design of controller guaranteeing mean-square asymptotically stable of repetitive processes and has a prespecified performance for the closed-loop repetitive processes with respect to all energy-bounded input signals. Sufficient conditions are proposed in terms of linear matrix inequality, and the corresponding controller design is cast into a convex optimization problem. In addition, the results obtained are further extend to parameter uncertainties residing in a polytope. A numerical example illustrates the effectiveness of the proposed design scheme.