Regulator Synthesis for Bimodal Linear Systems

This technical note presents a regulator synthesis approach for switched bimodal linear systems where it is desired to achieve regulation against known disturbance or reference signals. First, a set of observer-based Q-parameterized stabilizing controllers for the switched system is constructed. Then regulation conditions for the switched system are obtained and a regulator synthesis method is derived based on iteratively solving a set of linear matrix inequalities. Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.