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Control Synthesis of Battery-Supercapacitor Hybrid Power Sources System Subject to Parameter Variations and Input Saturations

1Doctoral Program of Electrical Engineering and Informatics, Institut Teknologi Bandung, Indonesia, Indonesia

2Department of Electrical Engineering, Politeknik Negeri Bandung, Indonesia, Indonesia

3School of Electrical Engineering and Informatics, Institut Teknologi Bandung, Indonesia

Received: 9 Feb 2026; Published: 24 May 2026.
Editor(s): H Hadiyanto
Open Access Copyright (c) 2025 The Author(s). Published by Centre of Biomass and Renewable Energy (CBIORE)
Creative Commons License This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

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Abstract
This paper proposes a control synthesis for a Battery-Supercapacitor Hybrid Power Sources (Batt-SC HPS) system that guarantees closed-loop system stability in the presence of parameter variations and input saturations. A class of polytopic linear parameter-varying (LPV) model is utilized to model the parameter variations in the linearized model of the system around its equilibrium point. Based on this model, a full state-feedback controller is synthesized using a set of simultaneous linear matrix inequalities (LMIs) as a sufficient condition of the closed-loop system stability across all system vertices. The formulated LMI includes a common quadratic Lyapunov function, L2-gain performance, and sector nonlinearity in form of control input saturation. Numerical validation examples for internal resistance variation in the system model are then performed as a case study to get the solution from the set of LMIs by utilizing LMI solver. Closed-loop simulation results for stabilization, tracking, and tracking with stabilization schemes reveal that the controller can achieve robust stability, satisfies control input constraints, and exhibits comparable energy consumption.
Keywords: Polytopic model; LMI-based state-feedback; Batt-SC HPS; parameter variations; saturation

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