Journal
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Volume 26, Issue 3, Pages 613-628Publisher
WILEY
DOI: 10.1002/rnc.3331
Keywords
first-order hyperbolic PDEs; spatially varying parameter; adaptive stabilization; infinite-dimensional backstepping
Funding
- National Natural Science Foundations of China [61325016, 61273084, 61233014]
- Natural Science Foundation for Distinguished Young Scholar of Shandong Province of China [JQ200919]
- Independent Innovation Foundation of Shandong University [2012JC014]
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The adaptive boundary stabilization is investigated for a class of systems described by first-order hyperbolic PDEs with unknown spatially varying parameter. Towards the system unknowns, a dynamic compensation is first given by using infinite-dimensional backstepping method, adaptive techniques, and projection operator. Then an adaptive controller is constructed by certainty equivalence principle, which can stabilize the original system in a certain sense. Moreover, the effectiveness of the proposed method is illustrated by a simulation example. Copyright (C) 2015 John Wiley & Sons, Ltd.
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