2020/01/28 by Pablo R. Baldivieso‐Monasterios, Baldivieso-Monasterios, Pablo R, Paul Trodden +1 · 1 citation
Chemistry · Engineering · #Advanced Control Systems Optimization #FOS: Electrical engineering #Metal-Organic Frameworks: Synthesis and Applications #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2001.10240
openalex publication_date 2020/01/28 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
This paper is concerned with the problem of controlling a system of\nconstrained dynamic subsystems in a way that balances the performance\ndegradation of decentralized control with the practical cost of centralized\ncontrol. We propose a coalitional control scheme in which controllers of\nsubsystems may, as the need arises, group together into coalitions and operate\nas a single entity. The scheme employs a robust form of distributed model\npredictive control for which recursive feasibility and stability are\nguaranteed, yet---uniquely---the reliance on robust invariant sets is merely\nimplicit, thus enabling applicability to higher-order systems. The robust\ncontrol algorithm is combined with an algorithm for coalition forming based on\nconsensus theory and potential games; we establish conditions under which\ncontrollers reach a consensus on the sets of coalitions. The recursive\nfeasibility and closed-loop stability of the overall time-varying coalitional\ncontrol scheme are established under a sufficient dwell time, the existence of\nwhich is guaranteed.\n