Design of fractional order PIλDμ controllers with an improved differential evolution
Design of fractional order PIλDμ controllers with an improved differential evolution
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DOI：
10.1145/1389095.1389379
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发表时间：
2008-07
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影响因子：
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通讯作者：
A. Abraham;Arijit Biswas;Swagatam Das;S. Dasgupta
中科院分区：
文献类型：
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作者：
A. Abraham;Arijit Biswas;Swagatam Das;S. Dasgupta
差分进化（DE）是最近出现的一种简单但非常强大的实际参数优化技术。本文介绍了DE在分数阶积分器和分数阶微分分器的分数阶比例积分导数控制器设计中的应用。FOPID控制器的参数由比例常数、积分常数、导数常数、导数阶数和积分阶数组成，其设计比传统的整阶PID控制器复杂。这里的控制器综合是基于用户指定的峰值超调和上升时间，并已被制定为一个单目标优化问题。为了数字化实现所设计装置的分数阶闭环传递函数，本文采用了基于Tustin算子的连分数展开（CFE）方案。仿真实例以及DE与其他两种最先进的优化技术（粒子群优化和细菌觅食优化算法）在相同问题上的比较表明了所提出方法的优越性，特别是在驱动分数阶植物方面。
Differential Evolution (DE) has recently emerged as a simple yet very powerful technique for real parameter optimization. This article describes an application of DE for the design of Fractional-Order Proportional-Integral-Derivative (FOPID) Controllers involving fractional order integrator and fractional order differentiator. FOPID controllers' parameters are composed of the proportionality constant, integral constant, derivative constant, derivative order and integral order, and its design is more complex than that of conventional integer order PID controller. Here the controller synthesis is based on user-specified peak overshoot and rise time and has been formulated as a single objective optimization problem. In order to digitally realize the fractional order closed loop transfer function of the designed plant, Tustin operator-based CFE (continued fraction expansion) scheme was used in this work. Simulation examples as well as comparisons of DE with two other state-of-the-art optimization techniques (Particle Swarm Optimization and Bacterial Foraging Optimization Algorithm) over the same problems demonstrate the superiority of the proposed approach especially for actuating fractional order plants.