For the DSMC, the control signal is determined once in every sampling interval and it is held constant during the sampling period.
There is subtle difference between continuous time sliding mode control and discrete time sliding mode control. High order sliding mode controller was reported in the controller design was based on backstepping method.Īs a result of the extensive use of computers in the implementation of controllers, discrete time sliding mode control has generated a sizable amount or research interest. In, an approach that combines time scale separation design and sliding mode control was proposed. Power system chaos suppression using the sliding mode technique was proposed in the literature. Linear and nonlinear state feedback controllers are developed in for the control of the bifurcation phenomenon in a power system A passivity-based adaptive controller was used in to suppress chaotic oscillations in a power system.ĭue to its simple implementation, good transient response, and robustness to parameters uncertainties and to disturbances, the sliding mode control technique has been applied to many nonlinear systems such as soft landing control, trajectory tracking, motor control, and power system control. Fuzzy and neural control methods were discussed in. In recent years, many control methods were applied to suppress chaos and stabilize the voltage of the power systems. Therefore, it is imperative to properly control the power system so that chaos is suppressed and chaotic oscillations are eliminated.Ĭhaos suppression in power systems has received the attention of many researchers. Voltage collapse can result in catastrophic blackouts. Voltage collapse is characterized by a slow change in the operating point of the system caused by an increase in loads which results in a gradual decrease in voltage magnitudes until a sharp accelerated drop in voltage occurs. Chaos is related to many power system instability phenomena such as voltage collapse which occurs when the power system is heavily loaded. In this operating environment, a sudden disturbance can lead to a chaotic behavior. The increasing demand for electric power forces the power system to operate nearly close to its stability boundary. Chaotic oscillations in power systems are harmful and undesirable. IntroductionĬhaos in power systems was observed by over a range of loading conditions. However, the simulation results show that the second control scheme gave better results since it was able to greatly reduce the chattering problem. These results indicate that both control schemes work well. Simulation results are presented for different values of the gains of the controllers as well as for different initial conditions. It is shown that the states of the controlled system converge to their desired values. The second DSMC control scheme is based on the recently developed double power reaching law.
The first DSMC control scheme is based on the well-known exponential reaching law. Two discrete time sliding mode control (DSMC) schemes are proposed for a fourth order discrete time chaotic power system. The objective of the control is to eliminate the chaotic oscillations and to bring order to the power system. In this paper, the discrete time sliding mode control technique is used to control a chaotic power system. Under certain conditions, power systems may exhibit chaotic behaviors which are harmful and undesirable.
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