Stabilization: Algorithms for Mechanical System Using Output Feedback and State Feedback

The present article aims to show systematically computational algorithms to obtaining the transfer function, and find the matrices (A, B, C) state space representation. In the stabilization problem of linear system find output feedback matrix and state feedback matrix, will be used the concept of (C, A, B) invariant subspaces for the problem of mechanical suspension of a car. Based on this concept introduced, reported the existence of a output feedback matrix and state feedback matrix by solution of coupled Sylvester equations, with it will be necessary to present an algorithm that refers to Syrmos-Lewis, a modification is proposed to provide a more appropriate for numerical solution, in part, the condition of Kimura. With this will be presented with numerical examples, where are provided to illustrate the application of the proposed algorithms.