State Feedback Control Design Using Eigenstructure Decoupling

Abstract : In this paper the design of controlling a class of linear systems via state feedback eigenstructure assignment is investigated. The design aim is to synthesize a state feedback control law such that for prescribed eigenvalues of the closed-loop control system corresponding eigenvectors are as close to decoupled ones as possible. The set of parametric vectors and the set of closed-loop eigenvalues represent the degrees of freedom existing in the control design, and can be further properly chosen to meet some desired specification requirement, such as mode decoupling and robustness. An illustrative example and the simulation results show that the proposed parametric method is effective and simple.