Accounting the control effort to improve chaos suppression via robust adaptive feedback
by R. Femat, C. Jimenez, S. Bowong, G. Solis-Perales
International Journal of Modelling, Identification and Control (IJMIC), Vol. 6, No. 2, 2009

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.

Online publication date: Tue, 31-Mar-2009

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