Stabilization in semiactive systems using Sylvester equations: Approach

Maxwell C. Jácome, Lucas D. da Silva, Andrés O. Salazar, Walter M. Rodrigues, Elmer R. L. Villarreal

Resumo


Active suspension systems for the vehicle control problem are formulated using output    feedback. The present article proposes solving the output feedback control with eigenvalues for    active suspension systems using Sylvester equations. The matrices are prescribed in advance and    depend greatly on the controllability conditions, being assigned the system’s observability eigenvalues. The theorems were presented using Sylvester equations. The algorithm was implemented based on Sylvester equation, and an example was presented with their conclusions.


Palavras-chave


Sylvester equations;Eigenvalue assignment;Output feedback control;semi-active suspension systems.

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Referências


R. C. Dorf and Bishop R. H. Sistemas de controle modernos. LTC, 2009. isbn: 9788521617143.

S. P. Dutra. Controle H-infinito de sistemas de suspensão ativa veicular. UFSC Joinville, 2016.

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S. M. Savaresi et al. Semi-Active Suspension Control Design for Vehicles. Elsevier Science, 2010. isbn: 9780080966793.

E. R. L. Villarreal, J. A. V. Ruiz, and E. M. Hemerly. “Static Output Feedback Stabilization using Invariant Subspaces and Sylvester Equations”. In: TEMA Tend. Mat. Apl. Comput 10 (1) (2009), pp. 99–110. doi: 10.5540/tema.2009.010.01.0099.

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J. Zhang, Y. Yuan, and H. Liu. “An Approach to Partial Quadratic Eigenvalue Assignment of Damped Vibration Systems Using Static Output Feedback”. In: International Journal of Structural Stability and Dynamics 18(1) (2018), pp. 1–18. doi: 10 . 1142 / S0219455418500128




DOI: https://doi.org/10.5540/03.2022.009.01.0310

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