Honecker, Maria Christine
[VerfasserIn];
Gernandt, Hannes
[VerfasserIn];
Wulff, Kai
[VerfasserIn];
Trunk, Carsten
[VerfasserIn];
Reger, Johann
[VerfasserIn]
Feedback rectifiable pairs and stabilization of switched linear systems
Beschreibung:
We address the feedback design problem for switched linear systems. In particular we aim to design a switched state-feedback such that the resulting closed-loop switched system is in upper triangular form. To this effect we formulate and analyse the feedback rectification problem for pairs of matrices. We present necessary and sufficient conditions for the feedback rectifiability of pairs for two subsystems and give a constructive procedure to design stabilizing state-feedback for a class of switched systems. Several examples illustrate the characteristics of the problem considered and the application of the proposed constructive procedure.