Robust State Feedback Control of DC-DC Boost Converter using Legendre Polynomials

In this paper, a robust state feedback controller is presented to track output voltage of boost converter. According to the applications of boost converter in modern industry such as electric cars, solar inverters and DC motor drives, the ability to control output voltage is an important parameter. As the model of boost converter is a nonlinear system, the linear classical controllers may not suffice. In this paper, the model of boost converter is extracted and a simplified state feedback controller is presented which uses Legendre polynomials in order to compensate the eliminated terms. For validation of proposed method, this controller is compared with classical proportional integral controller from the view point of speed and simplicity. The simulation results prove that this controller can not only maintain stability even in occurrence of error in current sensor, but also it can track the reference voltage very fast with no steady state error.