Three-phase Inverter using Robust Tracking Control based Interpolation

This paper presents a new method to determine the control inputs and control gains of robust tracking control-based interpolation control. To obtain the proposed control input, the implement two different types of control gains are needed, tight and loose gains. A linear matrix inequality (LMI) is considered with input constraint, feasibility, and invariant sets to define the control inputs of tight gain and loose gain in the sense of robust tracking control. Thus, in simulations, if the control input of tight gain satisfies the input constraint, no interpolation is needed. Then, the tight control can be used directly to start the inverter system. In contrast, if the control input with tight gain is infeasible then the implementation of a new technique is needed to define the control input based on tight and loose control gains. By interpolating between these two control inputs, a new set of control input which is called interpolation-based control is created. Finally, by using the interpolation an exceptional performance is yielded for the output response, satisfies with input constraint, and has a broad enough size of an invariant set. In this work, a MATLAB, PSIM simulation is conducted to verify the efficacy of the control algorithms.