Title: Accounting the control effort to improve chaos suppression via robust adaptive feedback

Authors: R. Femat, C. Jimenez, S. Bowong, G. Solis-Perales

Addresses: Departamento de Matematicas Aplicadas, IPICYT, Apdo. Postal 3-90, 78231, Tangamanga, San Luis Potosi, Mexico. ' Departamento de Matematicas Aplicadas, IPICYT, Apdo. Postal 3-90, 78231, Tangamanga, San Luis Potosi, Mexico. ' Laboratory of Applied Mathematics, Department of Mathematics and Computer Science, Faculty of Science, University of Douala, P.O. Box 24157 Douala, Cameroon. ' Division de Electronica y Computacion, CUCEI, U. de G., Av. Revolucion 1500, Guadalajara, Jal., Mexico

Abstract: This contribution deals with the optimisation of the chaos suppression via robust (low-parameterised) adaptive feedback. The robust adaptive feedback (RAF) has been proved to be capable of inducing the chaos suppression in face of uncertainties and exogenous disturbances. In this contribution the RAF scheme is accomplished with an optimal tuning scheme based on Riccatti equations. The underlying idea is to optimise the robust chaos suppression by accounting the control effort despite the saturation in electronic components. A finite horizon can be arbitrarily established by ensuring that the chaos suppression is achieved at established time. It should be noted that there is not exact convergence to the non-chaotic reference. As a matter of fact, only the suppression of the chaotic behaviour is aimed. An advantage is that the proposed scheme accounts the energy wasted by the controller and the closed-loop performance on suppression. Numerical and experimental results show the performance of the optimisation strategy.

Keywords: chaos suppression; feedback control; suboptimal control; adaptive control; uncertainty; exogenous disturbances; optimisation.

DOI: 10.1504/IJMIC.2009.024331

International Journal of Modelling, Identification and Control, 2009 Vol.6 No.2, pp.147 - 155

Available online: 31 Mar 2009 *

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