Stabilization in semiactive systems using Sylvester equations: Approach
Palavras-chave:Sylvester equations, Eigenvalue assignment, Output feedback control, semi-active suspension systems.
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.
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.
K. Ogata. Engenharia de controle moderno. Pearson Prentice Hall, 2011. isbn: 9788576058106.
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.
A. G. Wu et al. “Solving the generalized Sylvester matrix equation AV+BW=EVF via a Kronecker map”. In: Applied Mathematics Letters 21 (10) (2008), pp. 1069–1073. doi: 10.1016/j.aml.2007.12.004.
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