A small gain approach to global stabilization of nonlinear feedforward systems with input unmodeled dynamics

• Published in: Automatica (Oxford) Vol. 46; no. 6; pp. 1028 - 1034
• Main Authors: Chen, Tianshi, Huang, Jie
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.06.2010; Elsevier
• Subjects: Applied sciences; Asymptotic properties; Automatic control; Computer science; control theory; systems; Control system analysis; Control system synthesis; Control systems; Control theory. Systems; Dynamical systems; Dynamics; Exact sciences and technology; Feedforward; Gain; Information technology; Informationsteknik; Nonlinear dynamics; Nonlinear system; Reglerteknik; Robust stability; TECHNOLOGY; TEKNIKVETENSKAP; Theorems; Unmodeled dynamics; Unmodeled dynamics; Nonlinear system; Robust stability; Saturation; Non linear control; Control synthesis; Jacobi matrix; Non linear system; Local effect; Closed feedback; Robust control; Asymptotic stability; Global stabilization; Small gain theorem; Recursive method; Robustness; Asymptotic approximation; Feedforward; Linearization

In this paper, we study the global robust stabilization problem of strict feedforward systems subject to input unmodeled dynamics. We present a recursive design method for a nested saturation controller which globally stabilizes the closed-loop system in the presence of input unmodeled dynamics. One...