Sampled-Data Control of LPV Systems With Magnitude and Rate Saturating Actuators
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.
Authors
- K.M.D. Motchon (ORCID: https://orcid.org/0000-0002-4752-2530)
- Valter J. S. Leite (ORCID: https://orcid.org/0000-0002-8177-4547)
- Lucas A.L. Oliveira (ORCID: https://orcid.org/0000-0003-3965-6026)
- Kevin Guelton (ORCID: https://orcid.org/0000-0002-3292-7746)
Institutions
- Universidade Federal de Minas Gerais (BR)
- Centre de Recherche en Sciences et Technologies de l'Information et de la Communication (FR)
- Federal Center for Technological Education of Minas Gerais (BR)
- Centre de Recherche en Économie et Statistique (FR)
- Université de Reims Champagne-Ardenne (FR)
Publication Details
- Journal
- IEEE Control Systems Letters
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1109/lcsys.2025.3580489
- Citations
- 1
- Primary Topic
- Advanced Control Systems Optimization
- Type
- article
- Field-Weighted Citation Impact
- 1.21
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