The aim of this paper is to propose a new design variable speed wind turbine control by discrete‐time sliding mode approach. The control objective is to obtain a maximum extraction of wind energy, while reducing mechanical loads and rotor speed tracking combined with an electromagnetic torque. For this application, we designed a discrete time sliding mode control using the equivalent discrete time reaching law. Furthermore, a systematic and improved design procedure for uncertainties discrete‐time sliding mode control (SMC) with saturation problem is provided in this paper. The saturation constraint is reported on inputs vector. LMI technique and polytopic models are used in the design of the switching surface. To achieve some performance requirements and good robustness, in the sliding mode, the pole clustering method is investigated. Based on the unit vector control approach, a robust control is developed, then, to direct and maintain the system states onto the sliding manifold in finite time. Finally, a systematic design procedure for DSMC required to achieve a given performance level is provided and its effectiveness is varied by applying it to variable speed wind turbine systems.
The saturation problem is the one of the most common handicaps for applying linear control to real applications, especially the actuator saturation. This paper focus on a comparative study between the classical anti-windup regulator and robust saturated sliding mode control. In the first step, we present a design methodology of SMC of a class of linear saturated systems. We introduce the structure of the saturation, them we perform the design of the sliding surface as a problem of root clustering, which leads to the development of a smooth and non-linear control law that ensures to reach the sliding surface. The second step is devoted to present briefly the anti-windup controller technique. Finally, we use an example of a quarter of vehicle system to give simulation results.
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