Prescribed-Time Stabilization of a Class of Uncertain Nonlinear Systems by Adaptive Dynamic Programming

This letter studies the problem of prescribed-time stabilization for a class of uncertain nonlinear systems by adaptive dynamic programming. The results of this letter depend on the special properties of the solution to a class of parametric Lyapunov equations (PLEs). By learning the solution to the PLE via adaptive dynamic programming within the input-state information of the controlled system, the issue of unknown control coefficients is addressed. On this basis, the linear time-varying high-gain feedback (TVHGF) is obtained to achieve prescribed-time stabilization of uncertain nonlinear systems. Finally, a simulation example is given to illustrate the effectiveness of the proposed control scheme.