Adaptive Switched Linear Systems with Average Dwell Time to Compensate External Disturbances

摘要

Given a linear switched system composed of both Hurtwiz stable and unstable subsystems, and with additive unknown constant disturbance, a switching law with average dwell time between Hurwitz stable and unstable subsystems is proposed, together with an adaptive algorithm to compensate the unknown additive disturbance. Using Lyapunov theory, exponential stability of a desired degree of the plant state is assured and bounded-ness of the adaptive dynamic too.