结构整数阶模型的分数阶控制方法研究

Research on fractional-order control method based on integer-order building structures model

为了把分数阶控制方法引入到控制策略中,假设原整数阶模型为分数阶模型,将其表示为状态方程形式;通过系统输出相同的方式建立分数阶和整数阶系统之间的联系;为保证分数阶系统控制器能够用于整数阶系统,采用了基于系统输出的控制策略。算例结果表明:在相同控制能耗条件下,与整数阶控制策略相比,采用本文方法能使位移降低30%。

Research results have shown that a better control effects can be achieved by fractional control strategy.In order to introduce the fractional-order(FO) control into control strategy,the original integer-order(IO) model is rewritten as the FO one firstly,and then it is transformed into state equations.Secondly,the systematic output vector is used to establish the link between FO model and IO one.Thirdly,a control method based on systematic output is suggested to ensure the controller designed by FO model can be used for the original IO one.Finally,a simulation instance is given to show that the displacements by FO control strategy can be reduced 30% than those by IO control strategy under the same control energy consumption.