Practical stabilization of a class of uncertain composite control systems

A class of continuous controls, embedded in a multifunction, is presented which guarantees that the system can be practically stabilized, i.e. each control guarantees that a compact set, the 'size' of which depends on some design parameter(s), is globally uniformly asymptotically stable. By tuning the design parameter(s), the 'size' can be made as small as desired. Here, the underlying approach is based on the deterministic theory of feedback control for uncertain dynamical systems and Lyapunov-based techniques for the stability analysis of the closed-loop systems. The design of the feedback control law, follows closely that in which the nominal nonlinear system is more general, but the 'residual' uncertainty region considered is smaller in comparison.<
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