Single Input Single Output System with Modal Adaptive State Controller

The literature review shows that there are not many examples of adaptive systems synthesis algorithms. The adaptive block is usually presented in the given structures but information of basic principles and adaptive algorithm implemented behind is hardly provided. The present material proposes a practical solution with accent to the synthesis of the adaptive structure of the modal state controller. The algorithms used for adaptive observation and modal control are preliminary set and developed. Auxiliary pulse-relay controller (PRC) is implemented for control purposes during the observation time, which control signal is not only dependent on the control error. It is programmed to ensure that for n steps, if the control signal $u(k)$ has been set to the lower/or higher level, it will switch for 1 step to the alternate level. This solution will guarantee sufficiently informative signal feed to the object input.