Controle de sistemas LPV sujeitos a comutação aplicado a modelos caóticos

João M. de S. Filho; Francisco L. de C. Costa; Roberta R. T. Alves; Marcus V. S. Costa; Elenilson V. Fortes; F. Everton U. Reis; Victor P. B. Aguiar

doi:10.20906/SBAI-SBSE-2023/4068

João M. de S. Filho PPGEE, Universidade Federal Rural do Semi-Arido, RN
Francisco L. de C. Costa PPGEE, Universidade Federal do Ceará, CE
Roberta R. T. Alves PPGEE, Universidade Federal Rural do Semi-Arido, RN
Marcus V. S. Costa PPGEE, Universidade Federal Rural do Semi-Arido, RN
Elenilson V. Fortes Instituto Federal de Educação, Ciência e Tecnologia de Goiás, GO
F. Everton U. Reis Depto. de Eng. Elétrica, Universidade Federal do Piauí, PI
Victor P. B. Aguiar PPGEE, Universidade Federal Rural do Semi-Arido, RN

DOI: https://doi.org/10.20906/SBAI-SBSE-2023/4068

Keywords: Switched LPV systems control, linear matrix inequalities, systems approximation, Van der Pol equations

Abstract

This paper presents the extension of the Lyapunov-Metzler inequality for linear parameter-variating (LPV) switched systems. The proposed methodology is applied in the control of an approximate Van der Pol chaotic system via LPV synthesis. Numerical simulations are performed in the presented extension in order to analyze the behavior of the system both in open and closed loop. In the simulations carried out, the responses in time with varying parameters for the closed-loop stability and stabilization scenario were verified. From the above, it was possible to verify that the Van der Pol system obtained stability both in open loop and in closed loop for the proposed approach, which confirms the viability of this study in chaotic LPV switched models.