The Parameter Optimization of the PID and PIDD Controller for a Discrete Object

Development of the theoretical and numerical methods in the theory of automatic control expands the class of control objects for which effective regulators have been found. Every time researchers find a solution to class of problems, the area of problems that have solutions is expanded. In contrast, the area of problems without solution is reduced. Unfortunately, nobody save a careful record of solved problems sometimes leads to duplication of research. It is wasting time and money. Therefore, before solving of a certain class problem every researcher must carefully study all the methods for solving problems for this class. There is not scientific result if the proposed solution is less effective than the existing one. Even if the proposed solution effectiveness is equal to existing well-known methods, the new solution is not essential for the development of science, unless a class of problems is found for which the proposed solution is more effective than others. This paper discusses solution of design a discrete controller for a discrete object. The object model is taken from paper where calculations were carried out according to the Ziegler-Nichols method. The insufficient efficiency of this method is shown, and the exceptional efficiency of the numerical optimization method with modified target functions is demonstrated. Also we consider a complicated example of the object for which the effective regulator has been found. Some recommendations for the proposed method using to the such objects are given.