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Practical Stabilization for Uncertain Pseudo-Linear and Pseudo-Quadratic MIMO Systems
Università degli Studi di Napoli Federico II, Dipartimento di Informatica e Sistemistica, Napoli, Italy
- 1 Università degli Studi di Napoli Federico II, Dipartimento di Informatica e Sistemistica, Napoli, Italy
International Journal of Modern Nonlinear Theory and Application·Volume 02 (2013)·Pages 34–42·Published 13 March 2013·DOI10.4236/ijmnta.2013.21004
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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 .
KeywordsPractical StabilizationLinear and Nonlinear Uncertain SystemsPseudo-Quadratic MIMO Uncertain SystemLyapunov Approach
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