TY - CHAP
T1 - Output-Dependent Switching Control of Linear Systems with Dwell Time
AU - Gershon, Eli
AU - Shaked, Uri
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
PY - 2019
Y1 - 2019
N2 - A unified approach to output-dependent switching law synthesis with dwell time is presented. This approach guarantees the asymptotic stability and achieves a prescribed upper-bound on the L2-gain of switched linear systems. When the dwell time is zero, the approach recovers, as special cases, the results of the known methods of minimizing the Lyapunov function and its derivative. Two switching laws emerge from the developed theory. The first switching law depends directly on the measurements, without applying any filter. At the cost of an added conservatism, this switching law can be designed without applying tuning parameters. The second switching law applies a filter; the switching law depends then on the filter’s states. Two examples are given that demonstrate the application of the proposed design methods.
AB - A unified approach to output-dependent switching law synthesis with dwell time is presented. This approach guarantees the asymptotic stability and achieves a prescribed upper-bound on the L2-gain of switched linear systems. When the dwell time is zero, the approach recovers, as special cases, the results of the known methods of minimizing the Lyapunov function and its derivative. Two switching laws emerge from the developed theory. The first switching law depends directly on the measurements, without applying any filter. At the cost of an added conservatism, this switching law can be designed without applying tuning parameters. The second switching law applies a filter; the switching law depends then on the filter’s states. Two examples are given that demonstrate the application of the proposed design methods.
UR - http://www.scopus.com/inward/record.url?scp=85066764366&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-16008-1_7
DO - 10.1007/978-3-030-16008-1_7
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AN - SCOPUS:85066764366
T3 - Lecture Notes in Control and Information Sciences
SP - 93
EP - 106
BT - Lecture Notes in Control and Information Sciences
PB - Springer Verlag
ER -