In this paper, the stabilization of the voltage at the output of Boost converters is studied using a switching control method developed in the field of switched affine systems. This control law uses the instantaneous model instead of the nonlinear average model of the converter and has certain advantages compared to traditional approaches. Despite these advantages, the closed-loop system suffers from the occurrence of sliding modes, leading to unacceptable rises in the switching frequency. An adaptation of this control law is proposed in this paper to overcome this problem, and the adopted strategy is based on the introduction of hysteresis in the switching law. Moreover, the extension to Boost converters in parallel is also shown, with the attractive property of each converter only needing local measurements for global stabilization of the system. A comparison with the hysteresis current control method is conducted in simulations.
This paper proposes a Finite-Time Nonlinear Sliding Mode Control (FTNSMC) for wind turbine system-based squirrel cage induction generator (SCIG) connected to grid trough LCL filter. The proposed FTNSMC employs a sliding surface based on the nonlinear integral function to improve the system performance. Both, the generator-side and grid-side converters are controlled to ensure the robustness and stability of the power system subjected to grid voltage faults. The simulation results demonstrate the superiority of the proposed control strategy compared with the conventional Sliding Mode Control (SMC) method and confirm its robustness against grid faults and disturbances.
In this paper, we address the control of a class of switched systems cast in the framework of singularly perturbed systems. The class of switched systems that we deal with here is a particular case of switched affine systems where the state matrices are the same for all modes. These systems have been studied in the literature, wherein control design is carried out by solving Linear Matrix Inequalities (LMIs). However, the presence of the small parameter ε, characteristic of singularly perturbed systems, in the dynamical equation introduces numerical stiffness. To the best of the authors' knowledge, these issues have not been addressed in the literature for the class of switched systems studied here. We propose an ε-dependent controller stabilizing the system and also an εindependent controller, in the case where the parameter ε is not well-known. The design of these control laws is based on LMIs that do not present the ill-conditioning linked to ε. The proposed approach is illustrated by simulation results. N i=1 λ (i) = 1}.
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