简化稳定广义预测控制算法

讨论了一种简化的无穷广义预测控制算法,算法在被控对象稳定的条件下可以保证闭环系统的稳定性.使用收缩原开环系统极点的方法使原系统稳定,然后针对这个稳定广义系统推导了无穷广义预测控制率,理论分析证明可以保证开环不稳定系统的闭环稳定性.该算法可以得到控制率的显式解,不用递推求解Diophantine方程,大大减小了过程计算量,具有一个意义明确的可调参数,适用于不稳定,非最小相位和纯滞后系统.对几类不稳定过程的数值仿真结果说明了该方法的有效性.

Algorithm of Simple Stable Generalized Predictive Control

Without the finite term in the performance index of the generalized predictive control with terminal matching condition, a simple stable generalized predictive control for open loop unstable process was proposed. The open loop system is stabilized using the pole placement method. Based on this generalized stable system, the simple generalized predictive control algorithm was got and its closed loop stability and controller performance were analyzed. Because only using the process parameters without the recursive Diophantine equations, it reduces the heavy computational load as used in conventional prediction techniques. It has one tuning parameter with certain sense and can guarantee the closed loop stability. It can be applied to the unstable and non-minimum phase system with time delay. The simulations for some unstable processes show the validity.