IEEE Transactions on Automatic Control, Vol.42, No.12, 1714-1716, 1997
Adaptive Output-Feedback Regulation of a Class of Nonlinear-Systems - Convergence and Robustness
In this paper pie consider a minimum-phase, input-output linearizable system that is represented globally by an nth-order differential equation. The nonlinearities of the system depend linearly on unknown parameters which belong to a known convex set, We design a semiglobal adaptive output feedback controller to ensure boundedness of ail state variables and regulation oi the output to zero (an open-loop equilibrium condition). It is shown that the adaptive controller is robust with respect ta bounded disturbances in the sense that tile mean square regulation error is of the order of the magnitude of the disturbance. Moreover, if the disturbance vanishes when the input and output are identically zero and if its slope is sufficiently small, then :he adaptive controller will ensure convergence of the regulation error.
Keywords:LINEARIZABLE SYSTEMS;STABILIZATION