Adaptive Regulator Design for a Class of Infinite-Dimensional Second-Order Systems

In this paper we consider adaptive regulator design for undamped infinitedimensional second-order systems in the case of collocated input and output operators.The adaptive regulator is constructed by the concept of adaptive PD control (proportional plus derivative control) and the estimation mechanism of the unknown parameters for the disturbances.In the controlled system, the convergence of the system state to zero will be guaranteed