ADAPTIVE IDENTIFICATION OF HEAT PROCESSES

摘要

This work presents synthesis of adaptive identifiers for distributed parameter systems (DPS) described by partial differential equations (PDE's) of parabolic type. Adjustable parameters in the adaptive identifiers proposed are shown to admit simultaneous convergence to their nominal space-varying values when an appropriate input signal is used. The class of sufficiently rich input signals referred to as generators of persistent excitation is defined. This class guarantees the existence of a unique zero steady state for the parameter errors, thereby yielding unknown plant parameters.