Robust Mrac of a Linear Time-varying Parabolic System with Bounded Disturbance
نویسندگان
چکیده
In this paper, a robust MRAC (model reference adaptive control) for a linear parabolic partial differential equation with unknown time-varying parameters and bounded 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 MRAC scheme guarantees the boundedness of all signals in the closed loop system and the 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. Copyright © 2001 IFAC.
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