Transformation of optimal centralized controllers into near-global static distributed controllers

Abstract—This paper is concerned with the optimal decentralized control problem for linear discrete-time deterministic and stochastic systems. The objective is to design a stabilizing static distributed controller with a given structure, whose performance is close to that of the optimal centralized controller. To this end, we derive a necessary and sufficient condition under which there exists a distributed controller that generates the same input and state trajectories as the optimal centralized one. This condition is then translated into a convex optimization problem. Subsequently, a regularization term is incorporated into the objective of the proposed optimization problem to indirectly account for the stability of the distributed control system. The designed optimization has a closed-form solution (explicit formula), which depends on the optimal centralized controller as well as the controller structure. If the optimal objective value of the proposed optimization is small enough...

• Type: Journal
• Year: 2015
• Where: CDC
• Authors: Salar Fattahi, Ghazal Fazelnia, Javad Lavaei
• Keywords: CDC 2015, Control Systems