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Global exponential stabilisation for nonlinear singularly perturbed systems

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1 Author(s)

A globally exponentially stabilising composite feedback control is proposed for a general class of nonlinear singularly perturbed systems. The chosen design manifold becomes an exact integral manifold and the trajectories of the closed-loop systems, starting from any initial states, are steered along the integral manifold to the origin for all sufficiently small singular perturbation parameters ε. Moreover, an upper bound ε* for the singular perturbation parameter ε, such that the main result still holds, is given. The composite Lyapunov function technique is adopted in this paper

Published in:

Control Theory and Applications, IEE Proceedings -  (Volume:145 ,  Issue: 4 )

Date of Publication:

Jul 1998

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