On Fractional PIλ Controllers: Some Tuning Rules for Robustness to Plant Uncertainties
On Fractional PIλ Controllers: Some Tuning Rules for Robustness to Plant Uncertainties
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DOI：
10.1007/s11071-004-3767-3
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发表时间：
2004-12
影响因子：
5.6
通讯作者：
C. Monje;A. J. Calderón;B. Vinagre;Y. Chen;V. Feliu
中科院分区：
文献类型：
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作者：
C. Monje;A. J. Calderón;B. Vinagre;Y. Chen;V. Feliu
本文的目的是利用分数阶数λ的优点，找出分数阶PI λ控制器的最优设置，以满足补偿系统的三种不同鲁棒性设计指标。由于这种分数控制器比传统的PI控制器多一个参数，因此可以满足多一个规格，从而提高系统的性能，并使其对设备不确定性（例如增益和时间常数变化）更具鲁棒性。对于控制器的调谐，已经使用了基于非线性函数最小化的迭代优化方法。给出了两个真实的应用实例，仿真结果表明了这种非常规控制器的有效性。
The objective of this work is to find out optimum settings for a fractionalPIλcontroller in order to fulfill three different robustness specifications of design for the compensated system, taking advantage of the fractional order, λ. Since this fractional controller has one parameter more than the conventional PI controller, one more specification can be fulfilled, improving the performance of the system and making it more robust to plant uncertainties, such as gain and time constant changes. For the tuning of the controller an iterative optimization method has been used, based on a nonlinear function minimization. Two real examples of application are presented and simulation results are shown to illustrate the effectiveness of this kind of unconventional controllers.