Switching Stabilization for a Class of Slowly Switched Systems

• Published in: IEEE transactions on automatic control Vol. 60; no. 1; pp. 221 - 226
• Main Authors: Zhao, Xudong, Yin, Shen, Li, Hongyi, Niu, Ben
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-01-2015; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Asymptotic stability; Automatic control; Dwell time; Educational institutions; Invariants; Linear systems; Stability analysis; Stabilization; Subspaces; Switched systems; Switches; Switching; stabilization; switched linear systems; Mode-dependent average dwell time; stability
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2014.2322961

In this technical note, the problem of switching stabilization for slowly switched linear systems is investigated. In particular, the considered systems can be composed of all unstable subsystems. Based on the invariant subspace theory, the switching signal with mode-dependent average dwell time (MDADT) property is designed to exponentially stabilize the underlying system. Furthermore, sufficient condition of stabilization for switched systems with all stable subsystems under MDADT switching is also given. The correctness and effectiveness of the proposed approaches are illustrated by a numerical example.