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This paper investigates the control of the continuous time Rabinovich chaotic system with the sliding mode control method. Based on the properties of the sliding mode theory, the controllers are designed and added to the nonlinear Rabinovich system. Numerical simulations show that the Rabinovich chaotic system can be regulated to its equilibrium points in the state space by using the sliding mode controllers, which verifies all the theoretical analyses. Simulation results of the proposed sliding mode control strategy have been also compared with the passive control method, and their performances are discussed.it can be concluded that the sliding mode control method is more successful than the passive control method for the control of the Rabinovich chaotic system because of using more controllers. CONCLUSIONThe aim of this paper is to investigate the control of the continuous time Rabinovich chaotic system by means of the sliding mode control method. According to the sliding mode control methodology, the controllers have been constructed to stabilize the nonlinear Rabinovich system toward its equilibrium points. Theoretical analyses are also confirmed by numerical simulations. Related Figures 4-6 show that both the sliding mode controllers and the passive controller have achieved the control of the Rabinovich chaotic system with an appropriate time period. The proposed sliding mode control method regulates the system to its equilibrium points more effectively than the passive control method, so it is more appropriate for the control of the Rabinovich chaotic system.

Abstract:A genetic algorithm (GA)-based sliding mode controller is proposed to improve the voltage stability of a power system with a static var compensator. The proposed controller is examined for improving the load bus voltage, which changes under different demanding powers, and its performance for transient analysis is compared with the ZieglerNichols proportional-integral (ZNPI), Lyapunov-based sliding mode control (LASMC), and GA-based proportionalintegral-derivative (GAPID) controllers. The dynamic equations, consisting of a 2-bus nonlinear system, are converted to a mathematical description of sliding mode techniques. The optimum values of the sliding mode controller and proportional-integral-derivative (PID) coefficients that are required are calculated using the GA technique. Output voltage performances are obtained based on the demanding powers, which are at a constant variation. In this process, sliding mode, ZNPI, GAPID, and LASMC controllers are preferred in order to control the system. The results show that the GA sliding mode controller method is more effective than the ZNPI, GAPID, and LASMC controllers in voltage stability enhancement.

In this study, in order to control the voltage of the Western System Coordinating Council (WSCC) system, a sliding mode control has been used. First, the active and reactive power values, voltage and angle values of the loadbuses have been calculated. The load-buses which their voltage levels are lower than 1 pu has been identified. After that, by considering one of these load-buses, the system is transformed to the system with two load-buses and the sliding mode control model has been obtained. The sliding mode parameters have been obtained by using genetic algorithm (GA) optimization technique. From the results of simulations of this model, it is shown that the voltage of the load-buses reaches at 1 pu with a very low error.

This paper deals with the control of the memristor-based simplest chaotic circuit by means of only one-state controller. Three distinct control techniques, namely linear feedback control, sliding mode control, and nonlinear control, are examined for the control. Routh–Hurwitz stability criteria are used for constructing the linear feedback and sliding mode gains. Lyapunov function is used for ensuring the global asymptotic stability of the system with the nonlinear controller. Numerical simulations are demonstrated not only to validate the theoretical analyses, but also to compare the control results. They have shown that even if one-state controller is used, all the methods are effective for controlling the memristor-based simplest chaotic circuit. However, the control is observed in a better time period with the sliding mode controller.