Cooperative control of multi-object systems with special information structure

In this paper, the problems of optimization and cooperative control of single-loop information structure and leader-follower information structure combined large-scale systems themselves are studied. Based on the bilinear matrix inequalities (BMI), necessary and sufficient conditions are given for cooperative stabilization of the single-loop and leader-follower combined large-scale systems. The problem of designing cooperative controller is formulated into the non-convex optimization problems with BMI constraints. To solve this problem, an optimal alternate algorithm is proposed. Finally, examples are given to illustrate the results.