Global Asymptotic Controllability Implies Input-to-State Stabilization

• Published in: SIAM journal on control and optimization Vol. 42; no. 6; pp. 2221 - 2238
• Main Authors: Malisoff, Michael, Rifford, Ludovic, Sontag, Eduardo
• Format: Journal Article
• Language: English
• Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2004
• Subjects: Applied mathematics; Applied sciences; Closed loop systems; Computer science; control theory; systems; Control system analysis; Control theory; Control theory. Systems; Euclidean space; Exact sciences and technology; Feedback; Mathematical programming; Mathematics; Operational research and scientific management; Operational research. Management science; Optimization and Control; Closed feedback; Stabilization; Non linear control; Control synthesis; Controllability; Asymptotic approximation; Affine transformation; Actuator

The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed-loop systems input-to-state stable (ISS) with respect to actuator errors. Extensions for fully nonlinear GAC systems with actuator errors a...