In this paper, a new approach to the sliding-mode control of single-phase inverters under\nlinear and non-linear loads is introduced. The main idea behind this approach is to utilize a non-linear,\nflexible and multi-slope function in controller structure. This non-linear function makes the controller\npossible to control the inverter by a non-linear multi-slope sliding surface. In general, this sliding\nsurface has two parts with different slopes in each part and the flexibility of the sliding surface makes\nthe multi-slope sliding-mode controller (MSSMC) possible to reduce the total harmonic distortion,\nto improve the tracking accuracy, and to prevent overshoots leading to undesirable transient-states\nin output voltage that occur when the load current sharply rises. In order to improve the tracking\naccuracy and to reduce the steady-state error, an integral term of the multi-slope function is also\nadded to the sliding surface. The improved performance of the proposed controller is confirmed\nby simulations and finally, the results of the proposed approach are compared with a conventional\nsliding-mode controller (SMC) and a synchronous reference frame PI (SRFPI) controller.
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