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Adaptive stabilization for continuous time systems with disturbances
Author(s) -
Zhang J. F.,
Chen H. F.
Publication year - 1994
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.4480080505
Subject(s) - control theory (sociology) , equivalence (formal languages) , upper and lower bounds , mathematics , adaptive control , sense (electronics) , computer science , control (management) , engineering , mathematical analysis , discrete mathematics , artificial intelligence , electrical engineering
Abstract This paper concerns adaptive stabilization for single‐input/single‐output (SISO) continuous time systems with unknown coefficients and containing stochastic or deterministic disturbances. the conditions used here are possibly the weakest: neither the positive realness condition nor the availability of the upper bound of system disturbances is needed; the only condition imposed on the system structure is stabilizability, which is necessary for stabilizing a system even in the case where the system coefficients are known. the adaptive control given in the paper is switched at stopping times either on external excitations or on certainty equivalence controls defined by the pole assignment method at fixed times. It is shown that after a finite period of time the external excitation is no longer used and the system is stabilized in the long run average sense.