Disturbance Attenuation of Feedforward Systems With Dynamic Uncertainty

• Published in: IEEE transactions on automatic control Vol. 53; no. 7; pp. 1711 - 1717
• Main Authors: Chen, Tianshi, Huang, Jie
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.08.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Asymptotic properties; Attenuation; Automatic control; Communication system control; Computer science; control theory; systems; Control system analysis; Control systems; Control theory. Systems; Disturbance attenuation; Disturbances; dynamic uncertainty; Dynamical systems; Eigenvalues and eigenfunctions; Exact sciences and technology; Feedforward; Feedforward systems; Networked control systems; Nonlinear dynamics; nonlinear systems; robust stability; Time varying systems; Uncertainty; Robust stability; dynamic uncertainty; Non linear control; Dynamical system; Local effect; Global local method; Closed feedback; Robust control; Asymptotic stability; nonlinear systems; Uncertain system; Global stabilization; Small gain theorem; Disturbance attenuation; Robustness; Feedforward
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2008.929380

This paper studies the disturbance attenuation problem of a class of nonlinear systems in feedforward form that is subject to both dynamic uncertainty and disturbance. When the disturbance vanishes, the equilibrium of the closed-loop system is globally asymptotically stable. Two versions of small gain theorem with restrictions are employed to establish the global attractiveness and local stability of the closed-loop system at the equilibrium respectively.