A multi-step estimation approach for optimal control strategies of interconnected systems with weakly connected topology

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Article number110791
Journal / PublicationAutomatica
Online published12 Dec 2022
Publication statusPublished - Feb 2023


This paper studies optimal linear quadratic regulation (LQR) problem of discrete-time interconnected systems (ISs) defined over a weakly connected graph. Subsystems in an IS share information based on the topology of the system. The main challenge of this work in comparison to the standard LQR problem, stems from that a subsystem may never acquire information from some other subsystems, due to the weakly connected topology. In this paper, a multiple-step estimation approach is proposed to analytically design the optimal controller for ISs with weakly connected topology. Also, the optimal value of the cost function is explicitly derived. Finally, the effectiveness of the proposed method is illustrated by simulations using a connected vehicle system.

Research Area(s)

  • Discrete-time systems, Interconnected systems, LQR control, Optimal control, Weakly connected topology