Observer-based robust control for singular switched fractional order systems subject to actuator saturation

• Published in: Applied mathematics and computation Vol. 411; p. 126538
• Main Authors: Wang, Zhe, Xue, Dingyu, Pan, Feng
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.12.2021
• Subjects: Actuator saturation; Fractional order systems; Generalized singular value decomposition; Singular systems; Switched systems; Switched systems; Fractional order systems; Singular systems; Generalized singular value decomposition; Actuator saturation
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2021.126538

•The robust stabilization criteria for singular switched FOS subject to actuator saturation under the designed switching law is proposed.•An observer to stabilize the closed-loop singular switched FOS is designed and the observer and controller gains are obtained.•The stability region by solving an optimization problem in terms of LMIs is estimated.•The presented methods are illustrated by the practical and numerical simulations. The present paper proposes the robust control for singular switched fractional order systems (FOS). The main objective of this paper is to design an observer to stabilize the closed-loop singular switched FOS with actuator saturation under the designed switching law. By using generalized singular value decomposition (SVD) and linear matrix inequalities (LMIs), the observer and controller gains are obtained. Then, based on the proposed stabilization conditions, the stability region by solving an optimization problem is estimated. Finally, the presented methods are illustrated by the practical and numerical simulations.