Robust Stability of Adaptive Control System in the Presence of Bounded Disturbances

摘要

The main purpose of this paper is to study the robust stability of the singular perturbation systems in the presence of high-frequency parasitics, external disturbances and high-frequency reference input signal. Using a dead zone algorithm as the new adaptive law of the control input, together with the method of Lyapunov functions, the finite upper bounds of the state error vector, the high-frequency variable and the mismatch parameter vector of the error system are obtained. In addition, we gain a much smaller residual set under the same condition.