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Robust Mrac Of A Nonautonomous Parabolic System With Spatiotemporally Varying Coefficients And Bounded Disturbance
Author(s) -
Yang KyungJinn,
Hong KeumShik
Publication year - 2003
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2003.tb00127.x
Subject(s) - control theory (sociology) , bounded function , lyapunov function , mathematics , disturbance (geology) , adaptive control , convergence (economics) , uniform boundedness , zero (linguistics) , robust control , function (biology) , control system , mathematical analysis , computer science , control (management) , nonlinear system , physics , engineering , philosophy , artificial intelligence , economic growth , linguistics , biology , paleontology , quantum mechanics , evolutionary biology , electrical engineering , economics
In this paper, a robust model reference adaptive control of a parabolic system with unknown spatiotemporally varying coefficients and disturbance is investigated. In the adaptive control of time‐varying plants, the derivative of a Lyapunov function candidate, which allows the derivation of adaptation laws, is not negative semi‐definite in general. Under the assumption that the disturbance is uniformly bounded, the proposed robust adaptive scheme guarantees the boundedness of all signals in the closed loop system and the asymptotic convergence of the state error near to zero. With an additional persistence of excitation condition, the parameter estimation errors are shown to converge near to zero as well. Simulation results are provided.