Title :
An adaptive controller for infinite dimensional dynamical systems
Author :
Demetriou, M.A. ; Ito, K.
Author_Institution :
Dept. of Math., North Carolina State Univ., Raleigh, NC, USA
Abstract :
An adaptive controller for a perturbed infinite dimensional plant is developed to force the state of the plant track the state of a reference model. The reference model is based on the nominal plant and has a physical similarity with the plant. Using a Lyapunov stability argument, which is based on the H∞-Riccati equation of the nominal plant, an adaptive law is developed for the adjustment of the feedback gain. It is proved that the closed-loop system is stable with the tracking error remaining bounded, and converging to zero provided that the norm of the structured perturbation is less than a specified attenuation bound. Numerical simulation of a heat equation is presented to demonstrate the applicability of the proposed adaptive scheme
Keywords :
H∞ control; Hilbert spaces; Lyapunov methods; Riccati equations; closed loop systems; feedback; model reference adaptive control systems; multidimensional systems; H∞-Riccati equation; Lyapunov stability argument; adaptive controller; closed-loop system; feedback gain; heat equation; infinite dimensional dynamical systems; numerical simulation; perturbed infinite dimensional plant; tracking error; Adaptive control; Adaptive systems; Attenuation; Control system synthesis; Control systems; Equations; Feedback; Force control; Lyapunov method; Programmable control;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478590
