基于分数阶的建筑结构预测控制方法

Predictive control method of building structure based on fractional order

针对用整数阶模型代替实际复杂的非整数阶模型来进行控制器设计往往造成较大误差而收不到较好的控制效果的问题,为了能够在实际工程中获得良好的控制效果,以5层框架结构为对象,把分数阶模型引入到预测控制系统中,研究了基于位移响应的分数阶预测控制方法,具体包括:基于位移响应的传递函数的推导,分数阶微分算子的整数阶近似,分数阶预测控制器的设计以及仿真分析.仿真结果表明,采用该控制方法对结构振动位移响应等具有较好的控制效果.

Aimed at the fact that a large error exists and a good control effect cannot be obtained when the integer order model is used to design controller,through introducing the fractional-order model into the predictive control system,a fractional-order predictive control method is proposed based on the displacement response.The research process of the method includes four main steps： the deduction of transfer function,the integer-order approximation of fractional-order differential operators,the fractional-order predictive controller design,and numerical simulation.A five-storey frame structure is used as an example to illustrate the control effect of the proposed control method.The simulated results show that the fraction-order predictive control method can obtain a better control effect.