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.
Practical stabilization for uncertain pseudo-linear and pseudo-quadratic MIMO systems / Celentano, Laura. - In: INTERNATIONAL JOURNAL OF MODERN NONLINEAR THEORY AND APPLICATION. - ISSN 2167-9479. - 2:(2013), pp. 34-42. [10.4236/ijmnta.2013.21004]
Practical stabilization for uncertain pseudo-linear and pseudo-quadratic MIMO systems
CELENTANO, LAURA
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.File | Dimensione | Formato | |
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