Practical Stabilization for Uncertain Pseudo-Linear and Pseudo-Quadratic MIMO Systems


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.

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L. Celentano, "Practical Stabilization for Uncertain Pseudo-Linear and Pseudo-Quadratic MIMO Systems," International Journal of Modern Nonlinear Theory and Application, Vol. 2 No. 1, 2013, pp. 34-42. doi: 10.4236/ijmnta.2013.21004.

Conflicts of Interest

The authors declare no conflicts of interest.


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