Optimal multiplexing of sparse controllers for linear systems. (August 2019)

• Record Type: Journal Article
• Authors: Kumar, Yogesh; Srikant, Sukumar; Chatterjee, Debasish
• Is Part Of: Automatica. Volume 106(2019)
• Page Start: 134
• Page End: 142
• Publication Date: 2019-08
• Subjects: Sparse control -- Networked control -- Optimal control; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2019.05.015
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This article treats two problems of sparse and optimal multiplexing a finite ensemble of linear control systems. Given an ensemble of linear control systems, multiplexing of the controllers consists of an algorithm that selects, at each time t, only one from the ensemble of linear systems is actively controlled whereas the other systems evolve in open-loop. The first problem treated here is a ballistic reachability problem where the control signals are required to be maximally sparse and multiplexed and the second concerns sparse and optimally multiplexed linear quadratic control. Numerical experiments are provided to demonstrate the efficacy of the techniques developed here.