期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 275, 期 2, 页码 835-849出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0022-247X(02)00433-X
关键词
low-gain adaptive stabilization; undamped second-order dynamical systems; energy-like functions; multiplier functions
In this paper, low-gain adaptive stabilization of infinite-dimensional undamped second-order systems is considered in the case where the input and output operators are collocated. The systems have an infinite number of poles and zeros on the imaginary axis. The adaptive stabilizer is constructed by a low-gain adaptive PI controller (proportional plus integral controller). An energy-like function and a multiplier function are introduced and low-gain adaptive stabilization of the linear second-order systems is analyzed. (C) 2002 Elsevier Science (USA). All rights reserved.
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