Robust H ∞ control for a class of uncertain mechanical systems

• Published in: International journal of control Vol. 83; no. 7; pp. 1303 - 1324
• Main Authors: Yang, Xuebo, Gao, Huijun, Shi, Peng, Duan, Guangren
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 01.07.2010; Taylor & Francis; Taylor & Francis Ltd
• Subjects: Applied sciences; Computer science; control theory; systems; control; Control system analysis; Control system synthesis; Control theory. Systems; Controllers; Exact sciences and technology; input delay; linear matrix inequalities; mechanical systems; parameter uncertainties; Studies; State feedback; Linear form; Linear fractional transformation; H infinite control; Feedback regulation; Control synthesis; Delay system; Spring mass system; Robust control; Uncertain system; Mechanical system; Linear matrix inequality; Lyapunov function

In this article, the problem of H ∞ control is investigated for a class of mechanical systems with input delay and parameter uncertainties which appear in all the mass, damping and stiffness matrices. Two approaches, norm-bounded and linear fractional transformation (LFT) uncertainty formulations, a...