分数阶控制系统

随着基于分数阶次的数学理论日益完善,分数阶控制系统也越来越广泛地被研究和讨论。为了完善分数阶控制系统的理论体系,给出了分数阶系统的总体综述。介绍了分数微积分的定义,给出了分数阶线性定常系统的传递函数和状态空间描述,简要介绍了分数阶控制系统的复频域分析和分数阶控制器及控制器的设计方法,并分析了几种设计方法的优缺点。分数系统的研究必然能找到合适的切入点广泛地进入现代控制领域,为真正实现工业控制自动化提供强有力的理论依据。

Fractional Order Control System

With the increasing consummation of the mathematics theory based on fractionalorder,the fractional control system is investigated and discussed more and more widely.To consummate theory system of fractional control system,summarization to the fractional system are given.The definition of fractional derivatives and integrals are introduced,and the transfer function and state-space representation of fractional linear time-invariant system are given.The compound frequency analysis of fractional control system and fractional controller including its design methods are introduced,and the merits and defects of several design methods are analyzed.