On the Practical Compensator Design of Time-Varying Perturbed Systems in Hilbert Spaces

Abstract

In this paper, we treat the problem of practical feedback stabilization for a class of nonlinear infinite-dimensional control systems by means of an observer. A compensator design is given under a restriction of the perturbed term that the perturbations is bounded by the sum of a Holder continuous function and a Lipschitz function where the nominal system is supposed to be exponentially stabilizable by a linear feedback. The results are illustrated with an example.

Keywords:

• Compensator design
• infinite-dimensional systems
• Lyapunov methods
• practical observer
• practical stabilization

2000 MATHEMATICS SUBJECT CLASSIFICATION:

• 93C10
• 93C25
• 93B15