Verhoek, C and Tóth, Roland and Abbas, H S (2025) Direct Data-Driven State-Feedback Control of Linear Parameter-Varying Systems. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 35 (16). pp. 6955-6977. ISSN 1049-8923 10.1002/rnc.8073

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Abstract

The framework of linear parameter-varying (LPV) systems has shown to be a powerful tool for the design of controllers for complex nonlinear systems using linear tools. In this work, we derive novel methods that allow us to synthesize LPV state-feedback controllers directly from only a single sequence of data and guarantee stability and performance of the closed-loop system. We show that if the measured open-loop data from the system satisfies a persistency of excitation condition, then the full open-loop and closed-loop input-scheduling-state behavior can be represented using only the data. With this representation, we formulate data-driven analysis and synthesis problems, where the latter yields controllers that guarantee stability and performance in terms of infinite horizon quadratic cost, generalization of the (Formula presented.) -norm, and (Formula presented.) -gain of the closed-loop system. The controllers are synthesized by solving a semi-definite program. Additionally, we provide a synthesis method to handle noisy measurement data. Competitive performance of the proposed data-driven synthesis methods is demonstrated w.r.t. model-based synthesis in multiple simulation studies, including a nonlinear unbalanced disc system. © 2025 The Author(s). International Journal of Robust and Nonlinear Control published by John Wiley & Sons Ltd.

Item Type:	Article
Uncontrolled Keywords:	linear parameter-varying systems; Data-driven control; State-feedback control; behavioral systems; ℋ∞$$ {\\mathscr{H}}_{\\infty } $$ control;
Subjects:	Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions:	Systems and Control Lab
SWORD Depositor:	MTMT Injector
Depositing User:	MTMT Injector
Date Deposited:	22 Jan 2026 10:47
Last Modified:	22 Jan 2026 10:47
URI:	https://eprints.sztaki.hu/id/eprint/11080

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