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ROBUST ADAPTIVE CONTROL OF MINIMUM PHASE NON‐LINEAR SYSTEMS
Author(s) -
JOHANSEN TOR A.,
IOANNOU PETROS A.
Publication year - 1996
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/(sici)1099-1115(199601)10:1<61::aid-acs387>3.0.co;2-h
Subject(s) - control theory (sociology) , minimum phase , adaptive control , phase (matter) , computer science , control (management) , mathematics , artificial intelligence , physics , quantum mechanics
We show that an adaptive input/output feedback linearization control scheme for minimum phase non‐ linear systems is robust with respect to unstructured plant uncertainties such as unmodelled dynamics and disturbances provided that the adaptive law is modified in the same fashion as for linear systems and the plant non‐linearities satisfy some growth c onstraints. In the analysis we utilize weighted ℒ 2 ‐norms analogously to the case with a linear model.