标题：Finite-dimensional Adaptive Error Feedback Output Regulation for 1D Wave Equation * * This work was supported by the National Natural Science Foundation of China (61374088)
摘要：AbstractThis paper investigates the adaptive error feedback output regulation problem for 1D wave equation with harmonic disturbance anticollocated with control. We firstly construct an auxiliary system in which the control and the anti-collocated disturbance become collocated and the measured error becomes the output. Then we give the adaptive servomechanism design for the system by making use of the tracking error and the estimation mechanism for the parameters of the disturbances and tracking reference. This design does not base on the internal model principle and so have not any approximation. The control objective which is to regulate the error output to zero and to keep the states bounded is achieved.
