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In this paper, an in-depth investigation of the modeling and control design of the voltage and current inner control loops intended for single-phase voltage-controlled VSIs is established.. In this paper, an in-depth investigation of the modeling and control design of the voltage and current inner control loops intended for single-phase voltage-controlled VSIs is established.. Abstract—Output voltage regulation is a primary perfor-mance objective in power electronics systems which are not supported by a stiff voltage source. In this paper, we pose an optimal voltage control problem for ac inverter systems and study the structure of the resulting feedback laws. Here, it. . Part of the book series: Lecture Notes in Electrical Engineering ( (LNEE,volume 872)) This paper presents a double-closed-loop PWM design and control method for single-phase inverter current inner loop and voltage outer loop. By establishing the mathematical model of the single-phase inverter, the. . This paper presents a detailed discrete-time implementation of an inner-loop voltage controller with a current limiter for grid-forming converters with an LC filter connected to the grid. The proposed approach utilizes a state feedback control law that depends on the states of both the converter. . as demonstrate the stability of the system through the eigenvalues of the state space equation of the complete system. The main objective of this work is to provide a study of the mathematical modeling, control design, and. . Abstract—This paper presents an inner-loop control method for the filter-less, voltage sensor-less, and PLL-less inverter-based resource (IBR) under grid-following operation mode. The innovative concepts of the proposed control structure incorporate the removal of the voltage sensors at the point.