TITLE:
Practical Stabilization for Uncertain Pseudo-Linear and Pseudo-Quadratic MIMO Systems
AUTHORS:
Laura Celentano
KEYWORDS:
Practical Stabilization; Linear and Nonlinear Uncertain Systems; Pseudo-Quadratic MIMO Uncertain System; Lyapunov Approach
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.2 No.1,
March
21,
2013
ABSTRACT: In this paper the problem of practical stabilization for a significant class of MIMO uncertain pseudo-linear and pseudo-quadratic systems, with additional bounded nonlinearities and/or bounded disturbances, is considered. By using the concept of majorant system, via Lyapunov approach, new fundamental theorems, from which derive explicit formulas to design state feedback control laws, with a possible imperfect compensation of nonlinearities and disturbances, are stated. These results guarantee a specified convergence velocity of the linearized system of the majorant system and a desired steady-state output for generic uncertainties and/or generic bounded nonlinearities and/or bounded disturbances.