Bumpless transfer control for switched linear systems with exponential stability: a dwell time guaranteed method. (English) Zbl 07916896
Summary: 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.
© 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology
© 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology
MSC:
| 93D23 | Exponential stability |
| 93D20 | Asymptotic stability in control theory |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C05 | Linear systems in control theory |
Keywords:
linear systems; time-varying systems; jet engines; Lyapunov methods; asymptotic stability; control system synthesis; exponential stability; switched linear systems; bumpless transfer control; time constrained switching; sufficient condition; bumpless transfer performance; switching law; aforementioned control design strategy; time guaranteed methodReferences:
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