基于灰色预测的多变量自适应PID控制器

The design of a multivariable self-adaptive PID controller based on grey prediction

针对汽轮发电机组具有多变量、强耦合、大时滞等特点,提出一种基于灰色预测的多变量自适应PSD控制算法。该方案通过一组灰色系统预测模型GM(1,N)对多变量系统的输出预测实现对角解耦。采用无辨识智能自适应PSD控制算法优化PID控制器的参数,用优化后的PID控制器对每个子系统进行控制。该方案不需要精确的数学模型,在线估计参数少,计算简单。仿真结果表明,与其他方法相比,这种控制方法响应速度更快,而且具有更好的自适应性和鲁棒性。

In view of the fact that a steam turbine generator set is characteristic of multivariable, strong coupling, time lag, etc, this paper presents a kind of multivariable PSD self-adaptive algorithm based on a grey prediction. The decoupling problem of ：the MIMO system is solved by a set of dynamic models called the multivariable first order grey model（ GM （1, N） ）predicting the output of the MIMO system. Moreover, the optimal PID controller parameters are obtained by using the identification-free intelligent adaptive PSD algorithm. The algorithm does not mean much for a precise math model, only estimates fewer parameters and makes simple calculations. Compared with a conventional PID controller, this control method shows that thenew controller has a short response ,better adaptability and robustness.