Adaptive set-point regulation of discrete-time nonlinear systems

摘要

In this paper, adaptive set-point regulation controllers for discrete-timenonlinear systems are constructed. The system to be controlled is assumed tohave a parametric uncertainty, and an excitation signal is used in order toobtain the parameter estimate. The proposed controller belongs to the categoryof indirect adaptive controllers, and its construction is based on the policyof calculating the control input rather than that of obtaining a control law.The proposed method solves the adaptive set-point regulation problem under the(possibly minimal) assumption that the target state is reachable provided thatthe parameter is known. Additional feature of the proposed method is thatLyapunov-like functions have not been used in the construction of thecontrollers.