Output Regulation Bumpless Transfer Control for Switched Linear Systems and Its Application to Turbofan Engine Model

This paper addresses the output regulation (OR) bumpless transfer (BT) control problem for continuous switched linear systems (CLSs). A systematic solution procedure is developed based on mode-dependent dwell time method (MDADT) and multiple Lyapunov functions technique, which construct a kind of BT filter and BT OR equation. Firstly, the performance of output regulation bumpless transfer for CLSs is formally defined, which guarantees the continuous of control signal while asymptotic tracking for desired reference inputs and/or asymptotic rejecting undesired disturbances. Subsequently, state feedback bumpless transfer controller and error feedback bumpless transfer controller are designed to solve the OR BT problem based on MDADT switching method. A sufficient condition and an equivalent reformulation are established by multiple Lyapunov functions technique, without requiring the OR BT problem to be solvable for every individual subsystem. Finally, the effectiveness of the proposed control scheme is demonstrated through a simulation example based on an aero-engine control system.