  MATLAB分数阶系统内模控制方法研究+代码

Abstract
studies have found that fractional calculus can clarify the trend of things gradually, and describe the system model accurately. Internal Model Control only needs to modify one parameter, and has the advantages of simple structure, good control property and the establishment of the system model. Therefore, we can combine fractional order system with internal mode control, not only has the advantage of the parameters setting but also can guarantee the system performance. The method of frequency domain analysis can not only avoid the complex formula calculation and can express the performance of the system indirectly, but also analyze the relationship between the system parameters, structure and system performance. 源￥自%六:维;论-文'网=www.lwfree.cn
Above all, this paper presents a research method: the parameters setting method of fractional order systems based on frequency domain method.                                                      The main contents of this paper are as follows:
firstly, the basic principle and structure of the typical internal mode control are described, and the design and setting method of internal mode control is analyzed. Due to the typical IMC structure could not meet the requirements of reference input performance and disturbance rejection characteristics, especially the control object input end interference, several structure improvement has been proposed. Further analysis to select the best internal model control structure.
Then, the fractional order model is transformed into a structure form of "integer order model" by means of "order factor"; And add it to the improved structure of Internal Model Control. The stability of the fractional order system internal mode controller is analyzed by using the frequency domain method.
Finally, The conjecture of the results in the generalized fractional order system is meaningful and it should be significant through MATLAB simulation.
Key words: Fractional order system     Internal Model Control
Frequency domain analysis    MATLAB simulation
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