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首页> 外文期刊>Asian Journal of Control >D~α-TYPE ITERATIVE LEARNING CONTROL FOR FRACTIONAL-ORDER LINEAR TIME-DELAY SYSTEMS
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D~α-TYPE ITERATIVE LEARNING CONTROL FOR FRACTIONAL-ORDER LINEAR TIME-DELAY SYSTEMS

机译:分数阶线性时滞系统的D〜α型迭代学习控制

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摘要

This paper presents a second order D~α-type iterative learning control (ILC) scheme for a class of fractional-order linear time-delay systems with fractional order α(0 ≤ α< 1). First, by analyzing the control and learning processes, a discrete system for D~α-type ILC is established. Then, ILC design problem is converted to a stabilization problem for such a discrete system. Next, by introducing the (λ<ξ)-norm and using a generalized Gronwall-Bellman lemma, the sufficient condition for the robust convergence with respect to the bounded external disturbance of the control input and the tracking errors is obtained. Finally, the validity of the method is verified by two numerical examples.
机译:针对一类分数阶α(0≤α<1)的分数阶线性时滞系统,提出了一种二阶D〜α型迭代学习控制(ILC)方案。首先,通过分析控制和学习过程,建立了D〜α型ILC的离散系统。然后,将ILC设计问题转换为这种离散系统的稳定问题。接下来,通过引入(λ<ξ)范数并使用广义Gronwall-Bellman引理,获得关于控制输入的有界外部干扰和跟踪误差进行鲁棒收敛的充分条件。最后,通过两个数值例子验证了该方法的有效性。

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