Decentralized Control of Linear Systems Based on the New Viewpoint of Cooperative Control

The problem of designing cooperative control of linear system with a quadratic performance index is considered. A necessary and sufficient condition for optimal cooperative strategies is given. Then, the decentralized control of the large-scale linear system is studied based on the new viewpoint of cooperative control and the necessary and sufficient condition for optimal decentralized control is obtained. Furthermore, the problem for designing the suboptimal decentralized control of linear quadratic large-scale system is formulated to a concave optimization problem with BMI constrains and solved by an alternative optimization algorithm via LMIs. Finally, an example is given to illustrate the main results of this paper.