Bumpless transfer control for switched linear systems with exponential stability: a dwell time guaranteed method

In this study, the authors deal with the issue of exponential stability for a class of switched linear systems via bumpless transfer control and pre-assigned dwell time constrained switching. A sufficient condition is given to guarantee both exponential stability and bumpless transfer performance by dual design of a switching law and controllers for the switched linear systems. The sufficient condition requires neither exponential stability nor the bumpless transfer performance for each subsystem. The switching law, which perfectly matched the pre-given dwell time constraints, is of the state-dependent form. By applying a computational procedure, the authors proposed an example of controlling a turbofan engine model is given to illustrate that the aforementioned control design strategy is effective.