Method for setting fractional-order PID (proportion, integration and differentiation) controller for parameter uncertainty system which is controlled object

Abstract

The invention discloses a method for setting a fractional-order PID (proportion, integration and differentiation) controller for a parameter uncertainty system which is a controlled object. The fractional-order PID controller is applied to the parameter uncertainty system which is the controlled object. The method is used for optimally setting to-be-set parameters of the fractional-order PID controller, and includes firstly determining stability regions of parameters of the system; secondly, determining frequency and parameter variation ranges of the stability regions of the parameters of the system; thirdly, optimally setting the parameters of the controller by a genetic algorithm. The method for setting the parameters of the fractional-order PID controller on the basis of the parameter uncertainty system has the advantages that the parameters of the fractional-order controller can be effectively set when the controlled object is the parameter uncertainty system, the dynamic performance of the system can be optimized, and the fractional-order controller can realize a good control effect and is excellent in dynamic performance.

Description

technical field [0001] The invention relates to a fractional-order PID controller tuning method, in particular to a method based on uncertain parameters [0002] Tuning method of fractional order PID controller for fixed system. [0003] Background technique [0004] Because of its simple structure, strong robustness and easy parameter setting, PID controller has become the most widely used controller in the field of industrial control. For some systems with fractional-order characteristics, traditional PID control is difficult to obtain satisfactory control performance, while the more general form and algorithm of fractional-order Controller has gradually become a research hotspot in the field of control, and has achieved a series of remarkable results. [0005] At present, the research on fractional-order controllers mainly focuses on fractional-order or Controller design, parameter tuning and stability domain analysis. In 1978, Serdar first proposed a solution to...

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Problems solved by technology

[0007] However, in practical applications, most of the actual control object parameters are not accurate, and there are certain uncertainties, which will reduce the performance of the control system. Therefore, when designing the controller, the uncertainty of the system is It must be considered that an effective method is needed to perform parameter tuning for parameter uncertain systems

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