Robust dynamic bumpless transfer: an exact model matching approach

This study considers the problem of dynamic bumpless transfer for uncertain controller switched systems. The robust dynamic bumpless transfer is firstly concerned. With a set of pre-given controllers, design conditions on robust dynamic bumpless transfer are formulated under which the switched system will perform a smooth transition at the transfer moment. These conditions consist of two parts including several linear matrix equations (LMEs) and two linear matrix inequalities (LMIs), each part derived is based on exact model matching and L₁ control, respectively. Furthermore, the condition for guaranteeing the closed-loop system to be robustly stable under arbitrary bumpless transfer is discussed. Lastly, a numerical example and a practical simulation example on the ramjet engine control system are given to illustrate the practicability of the proposed method.