Finite-time dissipative control design for one-sided Lipschitz nonlinear singular Caputo fractional order systems

• Published in: International journal of systems science Vol. 54; no. 8; pp. 1694 - 1712
• Main Authors: Thi Phuong, Nguyen, Huu Sau, Nguyen, Viet Thuan, Mai
• Format: Journal Article
• Language: English
• Published: London Taylor & Francis 11.06.2023; Taylor & Francis Ltd
• Subjects: Closed loops; Control systems design; Dissipation; Feedback control; Fractional calculus; Linear matrix inequalities; Mathematical analysis; one-sided Lipschitz condition; Performance indices; Perturbation; Singular fractional-order systems; singularity value theory; State feedback; uncertainty

This paper presents an efficient analytical approach for solving the problem of dissipative control in one-sided Lipschitz singular Caputo fractional-order systems subject to nonlinear perturbations. The approach is based on mathematical transformations, and fractional calculus. A state feedback con...