Actuator Scheduling for Linear Systems: A Convex Relaxation Approach
Authors : Junjie Jiao, Dipankar Maity, John S. Baras, and Sandra Hirche
Conference : 61st IEEE Conference on Decision and Control (CDC 2022) Invited Session Volume 7, pp. 7-12, 2023 , Cancun, Mexico
Date: December 06 - December 09, 2022
Journal : IEEE Control Systems Letters Volume 7, pp. 7-12, 2023
December 09, 2022
In this letter, we investigate the problem of actuator scheduling for networked control systems. Given a stochastic linear system with a number of actuators, we consider the case that one actuator is activated at each time. This problem is combinatorial in nature and NP-Hard to solve. We propose a convex relaxation to the actuator scheduling problem, and use the relaxed solution as a reference to design an algorithm for solving the original scheduling problem. Using dynamic programming arguments, we provide a suboptimality bound of our proposed algorithm. Furthermore, we show that our framework can be extended to incorporate multiple actuator scheduling at each time and actuation costs. A simulation example is provided, which shows that our proposed method outperforms a random selection approach and a greedy selection approach.
Download Full Paper