A SIMPLE METHOD FOR A PRECISE SOLUTION OF THE DIGITAL OPTIMAL CONTROLLERS DESIGN PROBLEM FOR SISO OBJECTS WITH DELAY

Abstract

Models of aperiodic and integrator links with delay are traditional representations of controlled objects of various processes. In this case, the PID-family algorithms are traditionally used as control algorithms for which standard technical means have been developed. At the same time, the appearance of powerful miniature controllers with unified interfaces predicates the control quality improvement in the base of more advanced digital control systems usage. Such systems can be designed using the developed approach for the synthesis of optimal digital controllers with observers. Such an approach, in the traditional formulation, is impossible without the usage of specialized software which often substantially overload computer resources. At the same time, it is desirable to have a simple tuning method for customizing the controller at the control object, as well as for use in adaptive control systems. Obtaining such rules is described in this article. The theoretical result that follows from the obtained rules is that the parameters of the optimal state regulator do not depend on the delay and are determined solely by the object time constant and the selected sample period.