Work

Sampled-Data Control of LPV Systems With Magnitude and Rate Saturating Actuators

Year: 2025

Type: article

Abstract: This paper presents the parameter-dependent aperiodic sampled-data state feedback controller design for linear parameter varying (LPV) systems with actuators subject to magnitude and rate saturation, using Linear Matrix Inequalities (LMIs). The proposed method integrates the looped-functional approach and a parameter-dependent generalized sector condition. The local stabilization is verified through a new definite negativeness lemma for second-order matrix polynomials. The proposed conditions can be simplified to recover a robust controller design whenever the time-varying parameter is unavailable. Two numerical examples demonstrate the effectiveness of the proposed method, highlighting less conservative stability conditions compared to existing approaches.

Source: IEEE Control Systems Letters

DOI: 10.1109/lcsys.2025.3580489

Authors: Lucas A. L. Oliveira, Kevin Guelton, Koffi M. D. Motchon, Valter J. S. Leite

Institutions: Centre de Recherche en Sciences et Technologies de l'Information et de la Communication, Université de Reims Champagne-Ardenne, Federal Center for Technological Education of Minas Gerais

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,645

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação de Amparo à Pesquisa do Estado de Minas Gerais