Second‐order predefined‐time sliding‐mode control of fractional‐order systems

• Published in: Asian journal of control Vol. 24; no. 1; pp. 74 - 82
• Main Authors: Muñoz‐Vázquez, Aldo Jonathan, Sánchez‐Torres, Juan Diego, Defoort, Michael
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc 01.01.2022
• Subjects: Controllers; Disturbances; Dynamical systems; finite‐time stability; fixed‐time stability; fractional‐order systems; Integers; predefined‐time stability; second‐order sliding‐mode control; Sliding mode control

This paper presents a predefined‐time control of fractional‐order linear system subject to a large class of continuous but not necessarily integer‐order differentiable disturbances. The dynamical system is based on the Caputo derivative and has an order that lies in (1,2). The proposed controller, b...