期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 54, 期 9, 页码 2192-2199出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2009.2026841
关键词
Asynchronous switching; average dwell time; H-infinity control; switched systems
资金
- University of Hong Kong [60825303]
- 973 Project in China [2009CB320600]
- Engineering and Physical Sciences Research Council, U.K. [EP/F029195]
This paper first investigates the stability and l(2)-gain problems for a class of discrete-time switched systems with average dwell time (ADT) switching by allowing the Lyapunov-like functions to increase during the running time of subsystems. The obtained results then facilitate the studies on the issue of asynchronous control, where asynchronous means the switching of the controllers has a lag to the switching of system modes. In light of the proposed Lyapunov-like functions, the desired mode-dependent controllers can be designed since the unmatched controllers are allowed to perform in the interval of asynchronous switching before the matched ones are applied. The problem of asynchronous H-infinity control for the underlying systems in linear cases is then formulated. The conditions of the existence of admissible asynchronous H-infinity controllers are derived, and a numerical example is provided to show the potential of the developed results.
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