Abstract
AbstractPractical and asymptotic stabilization is investigated for a class of uncertain nonlinear affine control systems subject to constraints on the control inputs. The uncertain systems are modelled as non‐linear perturbations to a known non‐linear idealized system and a problem formulation based on differential inclusions is adopted. A class of constrained generalized state‐feedback controls (containing both continuous and discontinuous selections) is developed, which guarantees stabilization with a specified region of attraction. In the presence of residual uncertainty, sufficient conditions for global stabilizability are presented, whilst local results are obtained by relaxing these conditions. Copyright © 2001 John Wiley & Sons, Ltd.
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