论文标题
与未知控制方向的分数互连系统的自适应模糊控制
Adaptive Fuzzy Control for Fractional-Order Interconnected Systems with Unknown Control Directions
论文作者
论文摘要
本文集中于针对具有未知控制方向的一类分数互连系统的分散模糊控制方法的研究。为了克服由分数阶系统中多个未知控制方向引起的困难，提出了一种新型的分数Nussbaum函数技术。该技术比现有作品的技术更一般，因为它不仅可以处理单个/多个未知控制方向，而且还适用于分数/整数单/互连系统。基于此技术，为分数互连系统提出了一种新的分散自适应控制方法。引入平滑功能以补偿子系统之间未知的相互作用。此外，模糊逻辑系统被用于近似未知的非线性。事实证明，设计的控制器可以保证互连系统中所有信号的界限以及跟踪错误的收敛性。给出了两个例子以显示所提出方法的有效性。
This paper concentrates on the study of the decentralized fuzzy control method for a class of fractional-order interconnected systems with unknown control directions. To overcome the difficulties caused by the multiple unknown control directions in fractional-order systems, a novel fractional-order Nussbaum function technique is proposed. This technique is much more general than those of existing works since it not only handles single/multiple unknown control directions but is also suitable for fractional/integer-order single/interconnected systems. Based on this technique, a new decentralized adaptive control method is proposed for fractional-order interconnected systems. Smooth functions are introduced to compensate for unknown interactions among subsystems adaptively. Furthermore, fuzzy logic systems are utilized to approximate unknown nonlinearities. It is proven that the designed controller can guarantee the boundedness of all signals in interconnected systems and the convergence of tracking errors. Two examples are given to show the validity of the proposed method.
