State Derivative Feedback Control for Boost Converter via Linear Matrix Inequalities

State Feedback control is promising owing to its nature to place system poles at desired locations. Further, Linear quadratic controller achieves optimal results in addition, and is known for its inherent robustness margins. In several situations, state derivatives are readily available in contrast to states themselves. State derivative feedback has been exploited in literature for several engineering applications. Here, in this paper, state derivative feedback based linear quadratic controller is designed for DC to DC boost converter used in microgrid. The control variable chosen is duty cycle ratio required to track the reference voltage and to ensure less fluctuation in output voltage and current. Sudden change in input voltage is also considered while keeping the reference voltage constant. Simulation results verify the efficacy of the proposed approach.