Abstract

The new definition of practical exponential tracking is shown. Practical tracking is defined by the output vector, which is different from former definitions, given by the output error vector. Defined exponential tracking is elementwise. The new criterion of practical exponential tracking is shown. On the basis of the new criteria, the control algorithm of practical exponential tracking is determined by using the self-adaptive principle. The control algorithm is based on the self-adjustment principle. The structural characteristic of such a control system is existence of two feedbacks: the global negative of the output value and the local positive of the control value. Such a structure ensures synthesis of the control without knowledge of internal dynamics and without measurements of disturbances values.

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