Complete Parametric Approach for Eigenstructure Assignment in Second-order Systems Using Displacement-plus-acceleration Feedback

This paper proposes a complete parametric approach for eigenstructure assignment in second-order system Mq+D(q) over dot+Kq = Cu using the displacement-plus acceleration feedback controller. The expressions of closed loop eigenvector matrix and feedback gains are in direct closed forms in terms of the closed-loop eigenvalues and a group parameter vectors, which represents the degree of design freedom. The main advantage of the proposed method is solved directly in matrix second-order framework, without transformation into the first-order form, and the numerical stability is better because it used only right coprime factorization and simple matrix transformation. The proposed algorithm is simple and does not contain 'go back' procedures. Finally, computational results show its effect and simplicity.