Generalized PI control for robust stabilization of dynamical systems

Aldo Jonathan Muñoz-Vázquez, Oscar Martínez-Fuentes and Guillermo Fernández-Anaya

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 202, issue C, 22-35

Abstract: This paper presents a generalization of existing control methods. The proposal stands for a novel control structure that enforces the robust stabilization of a large class of physical and engineering systems, which are subject to the effect of nonlinearities, disturbances and uncertainties. The proposed scheme results as a state feedback plus a generalized proportional–integral (PI) controller. The state feedback compensates vanishing uncertainties, while the generalized PI control term gets rid of the effect of matched uncertainties, where the assumption on the regularity of the disturbance is relaxed. The proposed contribution is the generalization of conventional PI structures to account for the case of more variate closed-loop responses. Although the usefulness of the studied generalization in real applications deserves further investigation, some numerical simulations show the pertinence of the proposed scheme.

Keywords: Generalized calculus; Robust control; Disturbance rejection; Linear matrix inequalities (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:202:y:2022:i:c:p:22-35

DOI: 10.1016/j.matcom.2022.05.030

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