非线性精馏塔的建模和控制:a,使用分数阶控制器

Omar Hanif, Shipra Tiwari, Vivek Kumar
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引用次数: 0

摘要

本文针对a型复杂非线性精馏塔的建模问题,设计了4个最优控制器。首先将非线性对象线性化为线性高阶模型。然后,将其简化为一个低阶模型。随后,针对低阶线性模型设计了控制器。通过减小误差代价函数,即积分平方误差(ISE)、积分绝对误差(IAE)和积分时间绝对误差(ITAE)来设计控制器。优化过程采用启发式的遗传算法进行调优。设计了比例积分导数、分数阶比例积分导数、倾斜积分导数和分数阶内模控制四种控制器。对三种设计的控制器进行了全面的比较,首先是单输入单输出(SISO),然后是降阶线性模型,最后是主设备。FO-IMC控制器被显示为使用遗传算法设计的展示控制器,以展示其同类的新颖性。也对其进行了比较,但由于没有使用与其他参数相同的参数进行调优,结果显示性能较差。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Modelling and Control of a nonlinear distillation column: A, using fractional-order controllers
This paper takes up the challenge of modelling a complex nonlinear distillation column type-A and designs four optimal controllers for the same. The nonlinear plant is first linearized into a linear higher-order model. Thereafter, it is reduced into a lower-order model. Subsequently, the controllers are designed for the lower-order linear model. The controllers are designed by reducing the error cost functions, namely Integral Square Error (ISE), Integral Absolute Error (IAE) and Integral Time Absolute Error (ITAE). The process of optimization is done heuristically using the Genetic Algorithm method of tuning. The four controllers designed are Proportional Integral Derivative, Fractional-order Proportional Integral Derivative, Tilt Integral Derivative and Fractional-order Internal Model Control. A thorough comparison is made between the three designed controllers, first on the Single Input Single Output (SISO), then to the reduced-order linear model and finally to the main plant. The FO-IMC controller is shown as an exhibition controller designed using GA to demonstrate the novelty of its kind. It has also been compared, but the results show poor performances as it has not been tuned with the same parameters as the rest.
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