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Multivariable adaptive output rejection of unmatched input disturbances
Author(s) -
Wen Liyan,
Tao Gang,
Liu Yu
Publication year - 2015
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.2590
Subject(s) - control theory (sociology) , multivariable calculus , interactor , adaptive control , disturbance (geology) , compensation (psychology) , controller (irrigation) , computer science , engineering , control engineering , control (management) , psychology , paleontology , psychoanalysis , biology , agronomy , artificial intelligence , evolutionary biology
Summary Adaptive control schemes are developed for uncertain multivariable systems with unmatched input disturbances and are applied to an aircraft flight turbulence compensation problem. Key relative degree conditions from system input and disturbance are derived in terms of system interactor matrices for the design of a nominal state or output feedback control law that ensures desired asymptotic output tracking and disturbance rejection. To deal with an uncertain system high‐frequency gain matrix, a gain matrix decomposition technique is employed to parametrize an error system model in terms of the parameter and tracking errors, for the design of an adaptive parameter update law with reduced system knowledge. Both adaptive state and output feedback control schemes are presented in detail for systems with general interactor matrices, based on an LDS gain decomposition parametrization, and LDU and SDU decomposition‐based designs are also discussed, to develop unified adaptive disturbance rejection techniques for multivariable systems. All closed‐loop system signals are bounded, and the system output tracks a reference output asymptotically despite the system and disturbance parameter uncertainties. Simulation results of an aircraft flight control system with adaptive turbulence compensation are presented to show the desired system disturbance rejection performance. Copyright © 2015 John Wiley & Sons, Ltd.