This thesis describes a method of Linear Matrix Inequality (LMI) to determine robust gain for a three-phase grid-connected inverter (GCI). The robust controller technique is applied to a three-phase dc-ac inverter. This controller employs state feedback and integration of the tracking error in the 𝑑𝑞 rotational frame so that the offset-error can be eliminated. An…
This study adopts a linear matrix inequalities (LMI)-based optimization approach to for-mulate a systematic control design for an LC-filtered single-phase DC-AC inverter. The proposed study’s optimization criteria define the LMI problems to provide fast output voltage response by reducing the time to steady state. Then, the stabilizing control gain is computed based on the LMI…
Typically, unknown grid impedance in power distribution networks cannot be avoided; therefore, building an effective controller is essential. Furthermore, it is impossible to eliminate the intrinsic parameter uncertainty of the inverter filter. In this study, an AC power grid receives well-regulated power from a DC source using a systematic control method to address these problems.…
This paper presents a linear matrix inequality-based robust control strategy for a single-phase DC-AC inverter with output LC-filter. An all-pass filter is utilized in this paper to create an artificial β-signal so that the proposed controller can be simply used in dq-synchronous frame. This proposed robust controller utilizes a state feedback control with integral action…
This study presents an approach for robust current and power control for a three-phase grid-connected inverter set up with an L-filter that operates under an unbalanced AC grid-voltage source. This control method consists of two paralleled current control for the positive and negative sequences to accomplish one of three selective control targets: a) supplying balanced…
This paper presents a robust control strategy for an electric vehicle’s three-phase off-board bidirectional AC-DC battery charger. The conventional constant current (CC) and constant voltage (CV) charging mode are considered to provide a fast-charging performance for the batteries. The bidirectional charger also allows using of the vehicle as an energy storage system for the grid…
A reliable control method for a DC-AC single-phase inverter with an output LC-filter is presented in this research. For three-phase systems, the control method employing a dq-synchronous frame is frequently employed, but it is rather difficult for single-phase systems. In order to make the suggested controller easy to use in a dq-synchronous frame, a fake…
This work describes a robust control approach for calculating controller gain. For a three-phase dc-ac inverter with an output LC filter, robust control techniques were used. The control rule is given in a synchronous dq frame and was developed using a discrete-time state space design approach. It integrates the tracking error and uses state feedback.…
This paper proposes using Linear Matrix Inequality (LMI) for robust controller design in a three-phase grid-connected inverter (GCI). The controller, applied to a three-phase dc-ac inverter, integrates state feedback and error correction within the dq-rotational frame to eliminate offset errors. An LMI-based optimization minimizes settling time despite uncertainties in the L-filter (expressed as resistance and…
A linear matrix inequality (LMI)-based robust control is discussed in this paper for a three-phase grid-tied inverter with L-filtered output under unbalanced grid situation. The controller of this proposed method consists of two parallel current control for positive and negative sequence signals. Uncertainty models are also considered in this paper to provide wider range of…
