Abstract
The designing of PID controllers is a frequently discussed problem. Many of design methods have been developed, classic (analytical tuning methods, optimization methods etc.) or not so common fuzzy knowledge based methods which are designed to achieve good setpoint following, corresponding time response etc. In this case, the new way of designing PID controller parameters is created where the above mentioned knowledge system based on relations of Ziegler-Nichols design methods is used, more precisely the combination of the both Ziegler-Nichols methods. The proof of efficiency of a proposed method and a numerical experiment is presented.
Highlights
As it is written in [1] two expert system approaches exist
The system of designing a PID controller with a knowledge base is created which is built on know-how obtained from the Ziegler-Nichols designing methods, the combination of the frequency response and step response Ziegler-Nichols methods and its mutual conversion
The system created in this way is determined to design parameters of a classical PID controller, which is considered in closed feedback control
Summary
These classical methods for the identification of the parameters of PID controllers were presented by Ziegler and Nichols in 1942. Both are based on determination of process dynamics. The parameters of the controller are expressed as a function by simple formulas [3]. The transfer function of the PID controller using these methods is expressed as: GR (s)
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