Stabilization in semiactive systems using Sylvester equations: Approach

. 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.