Abstract
This paper proposes a design method of adaptive observers for distributed parameter systems of parabolic type. For a distributed parameter system with unknown coefficients described by an evolution equation in Hilbert space, transformations of the state derives an input-output representation with filtered values. An adaptive law and a state observer are obtained, where the convergence of parameter error is evaluated by using the Lyapunov function. Under the assumption of persistency of excitation, parameter-error convergence to zero is guaranteed.
