Reference:
S. Yuan,
B. De Schutter, and
S. Baldi,
"Adaptive tracking control of switched linear systems using
mode-dependent average dwell time," Proceedings of the 2018 Eighth
International Conference on Information Science and Technology
(ICIST), Cordoba, Granada, and Seville, Spain, 7 pp., June-July
2018.
Abstract:
This paper studies model reference adaptive control for switched
linear systems with large parametric uncertainties. An aggregate
leakage approach is proposed to develop a novel adaptive law, which
overcomes the state-of-the-art assumption of knowing the upper and
lower bounds of the parameter uncertainty. In addition, a switching
law is developed based on mode-dependent average dwell time scheme,
which exploits the information of the known reference model for every
subsystem, i.e., average dwell time is realized in a subsystem sense.
Based on the proposed time-constraint scheme, switching signals that
are less conservative than those based on dwell time and average dwell
time can be designed. Global uniform ultimate boundedness of the
closed-loop adaptive switched system is guaranteed. Furthermore, the
tracking error is shown to be upper bounded and also an ultimate bound
is presented. Simulations using NASA GTM aircraft illustrate the
proposed method.