Adaptive Stabilization and Disturbance Rejection for SISO Minimum-Phase Relative-Degree-One Systems

摘要

We use a discontinuous control algorithm to adaptively stabilize SISO minimum-phase relative-degree-one linear systems in the presence of external disturbances. Lyapunov methods are used to prove stability of the closed-loop system and convergence to zero of the measurement. By proving Lyapunov stability, these results complement existing convergence results that utilize adaptive algorithms with discontinuous feedback.