Impulsive Control Of Chaotic Systems Research Articles

Time-Delayed Impulsive Control of Chaotic System Based on T-S Fuzzy Model

This paper is concerned with the time-delayed impulsive control and synchronization of general chaotic system based on T-S fuzzy model. By utilizing impulsive control theory, time-delayed feedback control technique, and T-S fuzzy model, some useful and new conditions are derived to guarantee the stability and synchronization of the addressed chaotic system. Finally, some numerical simulations are given to illustrate the effectiveness of the derived results.

Impulsive control of chaotic systems and its applications in synchronization

In this paper, some novel sufficient conditions for asymptotic stability of impulsive control systems are presented by comparison systems. The results are used to obtain the conditions under which the chaotic systems can be asymptotically controlled to the origin via impulsive control. Compared with some existing results, our results are more relaxed in the sense that the Lyapunov function is required to be nonincreasing only along a subsequence of switchings. Moreover, a larger upper bound of impulsive intervals for stabilization and synchronization is obtained.

General impulsive control of chaotic systems based on a TS fuzzy model

In this paper, a time-delayed impulsive controller is constructed and the uniformly asymptotic stability of chaotic systems based on a Takagi–Sugeno (TS) fuzzy model is investigated and some new and useful criteria are derived. In addition, the uniformly asymptotic synchronization of chaotic systems based on the TS fuzzy model is discussed using similar techniques. Finally, some numerical simulations are presented to illustrate the effectiveness and feasibility of the derived results.

A New Fuzzy Impulsive Control of Chaotic Systems Based on T–S Fuzzy Model

In this paper, fuzzy impulsive control is used for stabilization of chaotic systems based on the Takagi-Sugeno (T-S) model. The stability issue of the general nonlinear impulsive control system is first investigated via comparison criterion. Then, a novel impulsive control scheme is presented for chaotic systems based on the T-S fuzzy model. Some sufficient conditions are given to stabilize the T-S fuzzy model. Our results are proven to be less conservative theoretically and numerically. Moreover, we have also estimated the stable region of the impulsive interval. Finally, the proposed fuzzy impulsive control scheme is successfully applied to stabilize Rossler's system and Chua's circuit. The numerical simulations demonstrate the effectiveness and advantage of our main results.

Impulsive control of chaotic systems with exogenous perturbations

The impulsive control of chaotic systems, which are subjected to unbounded exogenous perturbations, is considered. By using the theory of impulsive differential equation together with the fuzzy control technique, the authors propose an impulsive robust chaos controlling criterion expressed as linear matrix inequalities (LMIs). Based on the proposed control criterion, the procedure for designing impulsive controllers of common (perturbed) chaotic systems is provided. Finally, a numerical example is given to demonstrate the obtained theoretical result.

Fuzzy impulsive control of chaotic systems based on TS fuzzy model

Combining Takagi–Sugeno (TS) fuzzy model and impulsive control, a new approach to control chaotic systems, namely fuzzy impulsive control, is proposed in this paper. The rigorous stability analysis of the proposed method is given. The effectiveness of the approach is tested on Chua’s circuit, Chen’s system and Rössler’s system.

T–S fuzzy model-based impulsive control of chaotic systems with exponential decay rate

Abstract This Letter proposes a new method for controlling chaos. We first represent chaotic systems as Takagi–Sugeno (T–S) model-based fuzzy systems, and provide a general exponential stability criterion for such systems under impulsive control. Then we express this criterion in some special cases in terms of linear matrix inequalities, based on which a general procedure is developed to compute impulsive control laws for chaotic systems. It is important to see that the main result and the procedure are applicable to any continuous-time autonomous chaotic system, and that the procedure is easy to be implemented algorithmically.