INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS Int. J. Circ. Theor. Appl. 2009; 37:887–898 Published online 9 July 2008 in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/cta.500 Real-time chaotic circuit stabilization via inverse optimal control Alexander Jimenez 1, 2, ∗, † , Edgar N. Sanchez 3 , Guanrong Chen 4 and Jose P. Perez 5 1 Facultad Tecnol´ ogica, Universidad Distrital Francisco Jos´ e de Caldas, Cll 74 Sur No. 68A-20, Bogot´ a, Colombia 2 Facultad de Ingenier´ ıa, Universidad de los Andes, Calle 19A #1-37 este, Bogot´ a, Colombia 3 CINVESTAV, Unidad Guadalajara, Apartado Postal 31-438, Plaza La Luna, Guadalajara, Jalisco C.P. 45081, Mexico 4 Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong SAR, People’s Republic of China 5 School of Physics and Mathematics, Universidad Autonoma de Nuevo Leon, Pedro de Alba s/n, San Nicolas de los Garza, Nuevo Leon, Mexico SUMMARY In this paper, an efficient approach is developed for real-time global asymptotic stabilization of the chaotic Chen’s circuit, as a typical example for chaotic circuit control. Based on a recently introduced methodology of inverse optimal control for nonlinear systems, a very simple stabilization control law, a linear state feedback, is electronically implemented for the desired global asymptotic stabilization. Both Chen’s chaotic system and the designed controller are synthesized and realized by analog electronic components, with the aim of evaluating the physical performance of the real-time control law and demonstrating the practicality of the control method, which is robust to some input uncertainties. Copyright 2008 John Wiley & Sons, Ltd. Received 8 September 2007; Revised 10 April 2008; Accepted 13 April 2008 KEY WORDS: real-time control; chaos control; Lyapunov function; inverse optimal control; circuit implementation 1. INTRODUCTION Chaotic systems have been studied for quite a long time, particularly in the mathematical and physical communities, and controlling this kind of complex dynamical systems has attracted a ∗ Correspondence to: Alexander Jimenez, Facultad Tecnol´ ogica, Universidad Distrital Francisco Jos´ e de Caldas, Cll 74 Sur No. 68A-20, Bogot´ a, Colombia. † E-mail: ajimenezt2@udistrital.edu.co Contract/grant sponsor: Universidad Distrital Francisco Jos´ e de Caldas Contract/grant sponsor: Universidad de los Andes Contract/grant sponsor: CONACYT; contract/grant number: 39866Y Copyright 2008 John Wiley & Sons, Ltd.