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摘要研究发现：分数阶微积分能阐明事物逐渐变化的走势，能更准确地描述系统模型；内模控制只需要调节一个参数，而且拥有结构简便、控制特性好以及在建立系统数学模型方面的优势。因此，可以将分数阶系统和内模控制结合起来，不仅拥有参数整定的优势而且还能保证系统的性能。而频域分析法不仅可以避免了复杂的公式计算而且能间接地表示系统的性能，简洁、直观分析出系统参数、结构与系统性能之间的关系。综上所述，本文提出一种研究方法：基于频域法的分数阶系统内模控制器设计。本文主要工作内容如下：
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首先，叙述了典型内模控制的基本原理和结构，分析了内模控制的设计和参数整定方法。由于典型IMC结构不能同时满足参考输入特性和干扰抑制（尤其是控制对象输入端干扰）特性的要求，提出几种结构改进方案，进一步分析选出一种最佳的内模控制结构。39707
然后，通过“阶次因子”将序列分数阶模型转化成具有“整数阶模型”结构形式，并将其添加到结构改进的内模控制器中；再使用频域法来对分数阶系统内模控制器进行稳定性分析。
最后，通过MATLAB仿真来检验相关结果在广义的分数阶系统中的猜想应该是有意义的工作。
毕业论文关键词 分数阶系统 内模控制 频域分析法 MATLAB仿真
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.
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
目 录
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