Simplified State Observer of Hyperchaotic L? Attractor with One Voltage-sensed Signal

Abstract

The main goal of this study is to develop a simplified state observer for a four-dimensional hyperchaotic Lü attractor implemented by a circuit system. The elements of the state vector can be fully reconstructed by feeding the proposed state observer with only one continuously sensed voltage measurement. By utilizing the time-domain approach, the estimated state errors are proven to satisfy global and exponential stability, and the exponential convergence rate can be specified via the values of system parameters. Numerical studies are also presented to illustrate the effectiveness of the proposed scheme.