2011 journal article

Adaptive control design for uncertain polynomial nonlinear systems with parametric uncertainties

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 25(6), 502–518.

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: uncertain nonlinear system; adaptive control; H-infinity performance; higher-order Lyapunov function; SOS programming
Source: Web Of Science
Added: August 6, 2018

In this paper, we will develop an adaptive β„‹οΈβˆž control approach for a class of polynomial nonlinear systems with parametric uncertainties. Motivated by the dissipation theory and the vector projection technique, we propose a nonlinear adaptive β„‹οΈβˆž controller and its associated parameter adaptation law. The proposed adaptive control strategy is capable of identifying unknown parameter values quickly and minimizing the effect of estimation error. To further improve adaptive controlled performance, the Lyapunov function will be relaxed from quadratic to higher-order forms and the controller gains are generalized from constant to parameter-dependent. All of the synthesis conditions are formulated in the framework of polynomial/constant linear matrix inequalities and solvable using available software packages. Copyright Β© 2010 John Wiley & Sons, Ltd.