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Industrial Automatic Control Systems and Controllers

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Use of Indirect and Direct Indicators of Quality for Parametrical Optimization of PID regulators
V.A. Karmishin, M.V. Nemenko

The work deals with direct and indirect methods of assessing the quality of control systems, and conducted their analysis and comparison. The technique of calculations of optimum parameters of the PID regulator, on the example of the simplified transfer function of a single-shaft turbojet (TRD) is given. A number of traditional indirect criteria of optimization is in detail analysed and added. Are offered square frequency criterion on an index of oscillation of FRF for the closed system and square criterion of use of the set degree of stability and oscillation from a class of root methods. Are offered, as standards, process, optimum on speed, in a link of the 2nd order and nonlinear process of the set duration with an exit to nominal rate. As procedure of optimization without restrictions the method of the Neldera-Mida was used. According to the authors, the proposed square functionalities can be applied to calculation of optimum parameters of PID regulators of other control systems.
Keywords: performance of a control system; optimization criterion; Runge-Kutta method; PID controller; proportional, integral, derivative control; LS method; frequency response function (FRF); settling time; overshoot.

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