Exponential estimates of a class of time-delay nonlinear systems with convex representations

Máximo Ramírez ; Raúl Villafuerte ; Temoatzin González ; Miguel Bernal

International Journal of Applied Mathematics and Computer Science, Tome 25 (2015), p. 815-826 / Harvested from The Polish Digital Mathematics Library

Résumé

This work introduces a novel approach to stability and stabilization of nonlinear systems with delayed multivariable inputs; it provides exponential estimates as well as a guaranteed cost of the system solutions. The result is based on an exact convex representation of the nonlinear system which allows a Lyapunov-Krasovskii functional to be applied in order to obtain sufficient conditions in the form of linear matrix inequalities. These are efficiently solved via convex optimization techniques. A real-time implementation of the developed approach on the twin rotor MIMO system is included.

Détail

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:275990

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