A BMI approach to the cooperative control of multi-agent systems and optimization

This paper focuses on cooperative controller design and optimization problems of multi-agent systems. Based on the method of bilinear matrix inequalities(BMI), the necessary and sufficient conditions for stabilization of multi-agent systems are presented. Then, the optimization design method for cooperative control is also considered with respect to a quadratic performance index. And problems of designing cooperative controller are formulated into the non-convex optimization problems with BMI constraints. Finally, examples are given to illustrate the better effectiveness than the presented results.