Adaptive control systems with two-time scale motions

The problem of adaptive stabilization of continuous MIMO-systems with the non-stationary plants is discussed. The rate of unknown disturbances is commensurable with rate of transient process. A fast adaptive algorithm is designed on the basis of a localization principle. In the adaptive algorithm the output signal derivatives are used. The information on values of derivatives is determined with the help of the linear low-inertial filters. The characteristic properties of the system motions are considered, the stability conditions are received.