分数阶控制系统仿研究毕业论文.docxVIP

摘要 分数阶微积分是整数阶微积分的一种推广，即是将阶次推广到实数范围内，其诞生于300多年前，发展到现在，分数阶微积分已经应用于许多的领域，并逐渐发展成为一个非常热门的研究方向。分数阶控制系统即用分数阶微分方程而非整数阶微分方程来表述的系统，与整数阶微分方程表述的系统相比，分数阶控制系统可以在本质上反映实际系统的真实变化过程，所以与利用整数阶控制系统模型相比利用分数阶控制系统模型可以比较全面清晰地分析系统。本文给出了分数阶微积分的定义及其性质，分数阶控制系统的求解：包括数值解法和解析解法，并给出了仿真实例，最后对分数阶控制系统的进行了仿真分析，并给出了仿真实例。关键词分数阶微积分，分数阶控制系统，分数阶控制器，仿真AbatractFractional calculus is a generalization of the fractional calculus. That is, degree order ?will be extended Within the scope of real Numbers. It was invented more than 300 years ago,and now, Fractional calculus has been used in many fields, and gradually developed into a very hot research direction. Fractional order control system with fractional order differential equation rather than integer order differential equation to describe the system. Compared with Integer order differential equation to describe the system,The fractional order control system can reflect the Real change of the actual system in essence, So compared with using integer order control system model, using fractional order control system model can analysis system more comprehensive and clearly. In this paper, we give the definition of fractional calculus and their properties, Solution of the fractional order control system: Including the numerical solution and analytic solution,and give the simulation. Finally analysis the fractional order control system, and give the simulation.Keywordsfractional calculus,fractional-order controller system,fractional-order controller,simulation目录摘要....................................................................................................................................IAbatract............................................................................................................................I1绪论................................................................................................................................1 1.1 课题的背景和意义..................................................................................................