Real‐time chaotic circuit stabilization via inverse optimal control

Abstract

SUMMARYIn 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.

Multiscroll floating gate–based integrated chaotic oscillator

“…In the area of continuous-time chaotic dynamics, the appearance of multiscroll chaotic behavior has been the subject of much research [1], mainly because of the complexity of the dynamics while allowing for the obtention of partial analytic solutions and some potential applications [2][3][4][5][6][7][8][9][10][11]. For instance, multiscroll chaotic oscillators can be designed using piecewise linear (PWL) functions that allow flexible schemes for the circuit implementation (e.g.…”

Single state feedback stabilization of unified chaotic systems and circuit implementation

“…Chen's system and Lü system can be found in [44][45][46] and [47,48], respectively. An electronic circuit of the uni ed chaotic system has been considered by Li [50] In a nutshell, a more standardized and more uni ed circuit of the uni ed chaotic system has been developed in this paper.…”

“…In circuit design and implementation of aspects of chaotic systems, the circuit implementation of the individual Lorenz system, Chen's system and Lü system can be found in [44][45][46] and [47,48], respectively. In this paper, we also focus on the circuit design and implementation of the uni ed chaotic system [49] so that di erent attractors can be obtained with simple adjusting.…”

“…In this paper, we also focus on the circuit design and implementation of the uni ed chaotic system [49] so that di erent attractors can be obtained with simple adjusting. This new circuit is based on the design in [48,50]. However, it is simpler because only three variable resistors are required to be adjusted.…”

Synchronization of Chua's circuits based on strictly positive realness

“…In recent years, because of its important application value in signal processing, secure communication and other fields, chaos synchronization has become one of the major problems in mathematics and engineering. A large number of effective synchronization methods have been proposed [3][4][5][6][7][8][9][10][11]. The amount of theories as well as that of experiments and applications grows very fast in this research direction.…”