Design of hybrid controller for synchronization control of Chen chaotic system

Abstract

This paper deals with the synchronization control of Chen chaotic system using a hybrid control which includes continuous state feedback control, the impulsive control and the nonlinear feedback law. To this end, a hybrid controller based on linear matrix inequality (LMI) and average dwell time (ADT) is derived by employing impulsive control theory. The main advantage of the result lies in that, for one thing, they are complementary to each other, that is, when the impulse inputs occur in terms of disturbances which do harm to the synchronization, the continuous state feedback control will cover the weakness and stabilize the error system, and conversely, when the continuous state feedback control is given in terms of external disturbances which do harm to the synchronization, the impulsive control input will stabilize the error system; for another, the developed result is based on ADT condition and dropped the restriction on the upper and lower bounds of the impulsive intervals. Finally, numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

A Chaotic Quadratic Oscillator with Only Squared Terms: Multistability, Impulsive Control, and Circuit Design

“…Event-triggered impulsive control was studied in [50][51][52]. Synchronization of the Chen oscillator was discussed in [53]. Impulsive control for synchronization of a chaotic network was investigated in [54].…”

Stochastically exponential synchronization for Markov jump neural networks with time-varying delays via event-triggered control scheme

“…In addition, fast convergence of the networks is essential for realtime computation, and the exponential con-vergence rate is generally used to determine the speed of neural computations [26]. Thus it is of great theoretical and practical importance to study the exponential stability for MJNNs with TDs, and many fruitful results have been reported in the literature [27][28][29][30][31][32].…”

New Controllability Results of Fractional Nonlocal Semilinear Evolution Systems with Finite Delay

“…We point out that complete controllability of infinite dimensional systems with noncompact semigroup is an important research direction, and there have been many outstanding achievements in this regard such as [21][22][23][24][25][26]. For more details of other research results on control theory, please refer to [27][28][29][30][31][32][33][34][35][36][37][38][39][40] and the reference therein.…”