Control of Fractional-Order Unified Chaotic Systems Subject to External Disturbances Using Twisting Algorithm with Fractional Integral Sliding Surface

• Published in: International journal of applied and computational mathematics Vol. 5; no. 4; pp. 1 - 17
• Main Authors: Khamsuwan, Pitcha, Sangpet, Teerawat, Kuntanapreeda, Suwat
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.08.2019; Springer Nature B.V
• Subjects: Algorithms; Applications of Mathematics; Applied mathematics; Chaos theory; Computational mathematics; Computational Science and Engineering; Control stability; Control systems; Controllers; Disturbances; Feedback control; Integrals; Mathematical analysis; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Matrix methods; Nuclear Energy; Operations Research/Decision Theory; Original Paper; Output feedback; Sliding mode control; State observers; Theoretical; Twisting; Fractional-order unified chaotic system; Linear matrix inequality (LMI); Output feedback control; Chaos control; Twisting algorithm (TA)
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-019-0698-8

This paper focuses on output feedback control of fractional-order unified chaotic systems subject to external disturbances. The output feedback controller is a combination of a high-order sliding mode controller and an observer. The controller based on a twisting algorithm makes use of a fractional integral sliding surface. The observer is a nonlinear state observer. Stability conditions for the output feedback control system are formulated as a linear matrix inequality problem. Numerical studies are given, showing the effectiveness of the method.