Stability Region for Fractional-Order Linear System with Saturating Control

[摘要] In this paper, the problem of local stabilization of fractional linear system subject to input saturation is addressed. The stability conditions are obtained using Lyapunov’s direct method in two cases (linear and non-linear saturation models). Then, the absolute stability with a safe finite domain is studied using the proposed algorithm through an optimization problem. Furthermore when any controller does not exist to reach some region of attraction, desired controller is designed. Finally, three examples demonstrate effectiveness of the proposed method...

[学科分类] 自动化工程

[关键词] Fractional non-linear systems ;Saturation systems ;Region of attraction