基于小波变换的二阶线性分布参数系统预测控制

Predictive control of second-order linear distributed parameter systems based on wavelets transformation

分布参数系统由于其复杂性,控制系统设计一直是控制理论的难点.寻求解决分布参数系统控制的新思路,本文提出了基于正交小波变换的线性离散时间分布参数系统预测控制概念,应用正交小波变换将二阶线性分布参数系统预测控制命题变换为集总参数系统预测控制问题,并设计预测控制器,将控制律进行反演获得原系统的具有分布特性的控制律.仿真研究表明,本文提出的分布参数系统预测控制算法取得了理想的控制效果,对系统模型失配和扰动具有较好的鲁棒性,验证了算法的有效性.

Because of the complexity of distributed parameter system, control system design is the difficult topic of control theory. Seeking the new idea to control of distributed parameter system, predictive control algorithm of linear time-discrete distributed parameter system based on orthogonal wavelets transformation is proposed. The predictive control proposition of secondorder linear distributed parameter system is then transformed into predictive control issue of lumped parameter system in Haar wavelets transformation. The predictive controller is also designed for the input returning to the control rule having distributed characteristic of original system. Simulation studies demonstrate ideal control effect of predictive control algorithm of distributed parameter system, and show good robust property when model deviates from normal condition and when disturbance occurs to the system. The results have verified the algorithm.