Eigenstructure assignment for linear discrete-time systems subject to input saturation via decentralized state feedback - a parametric approach

• Published in: 2005 International Conference on Machine Learning and Cybernetics Vol. 3; pp. 1460 - 1465 Vol. 3
• Main Authors: Yu Xue, Guang-ren Duan
• Format: Conference Proceeding
• Language: English
• Published: IEEE 2005
• Subjects: Actuators; Adaptive control; Control systems; Distributed control; Eigenstructure assignment; Equations; Force control; input saturation; linear discrete-time systems; Linear feedback control systems; Linear systems; Open loop systems; parametric solutions; State feedback; Sylvester matrix equations
• ISBN: 0780390911; 9780780390911
• ISSN: 2160-133X
• DOI: 10.1109/ICMLC.2005.1527174

A parametric approach for eigenstructure assignment for linear discrete-time systems subject to input saturation via decentralized state feedback is proposed. Based on the parametric solution to a Sylvester matrix equation, parameterizations of all the state feedback control matrices and the closed-loop eigenvector matrices are established. The partial eigenstructure assignment is a case of the proposed approach. The parametric method offers all the design degrees of freedom, which can be utilized to achieve certain desired properties and performances in the control system designs. A numerical example shows the effect of the proposed approach.