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MIMO multi‐periodic repetitive control system: universal adaptive control schemes
Author(s) -
Dang H.,
Owens D.H.
Publication year - 2006
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.908
Subject(s) - control theory (sociology) , mimo , adaptive control , mathematics , lyapunov function , identifier , exponential stability , stability (learning theory) , sign (mathematics) , computer science , control (management) , channel (broadcasting) , telecommunications , nonlinear system , mathematical analysis , physics , programming language , quantum mechanics , artificial intelligence , machine learning
Abstract This paper presents a simple adaptive multi‐periodic repetitive control scheme when the MIMO LTI plant is not necessarily positive real (PR), however it is strictly minimum‐phase, the spectrum of high‐frequency gain matrix CB is symmetric and lies in the open right/left half complex plane(sign/spectrum definite). The non‐identifier‐based direct adaptive control technique, which does not need plant parameter information, is used to construct adaptive schemes and the system stability is analysed by Lyapunov second method. The extension to plant under certain non‐linear perturbations and an exponential stability scheme are also discussed. Finally, an adaptive proportional plus multi‐periodic repetitive control scheme is proposed. The theoretical findings are supported with simulations. Copyright © 2006 John Wiley & Sons, Ltd.