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Paper details
Number 4 - December 2015
Volume 25 - 2015
Exponential estimates of a class of time-delay nonlinear systems with convex representations
Máximo Ramírez, Raúl Villafuerte, Temoatzin González, Miguel Bernal
Abstract
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.
Keywords
exponential estimates, time delay systems, TS model, guaranteed cost, convex representations