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This paper presents an output and state feedback robust LQR (OSRLQR ) optimal controller for the control of active (P) and reactive power (Q) in grid-connected mode, and voltage (V) and active power in islanded mode of photovoltaic (PV) distributed generation (DG) system. The OSRLQR scheme is comprising of an output and state feedback controllers, which are designed based on LMI-LQR optimization approach. The DG inverter along with proposed controller is configured to work as a current source in grid-connected mode and a voltage source in island mode using P-Q and P-V control scheme respectively. A seamless transition between the grid connected and island modes under the presence of the proposed controller is achieved using a passive island detection and synchronization algorithm along with load shedding. The entire control scheme of the DG system is modelled and analyzed using MATLAB/SIMULINK/Robust Tool-Box, and the practical feasibility of the proposed control scheme is verified using dSPACE. A superior trade-off robustness among the stability and performance is the final outcome of the DG system with proposed control scheme. Performance of the proposed control scheme is compared with conventional PI controller and the comparative results indicate the superior performance of proposed control scheme over the conventional control scheme.

LQR Based Control Method for Grid Connected and Islanded DG System