The Application of Multiscale Modeling in Predictive Control

In practical application, aiming at large-scale complex industry systems, in order to implement robust control to them, one very large control horizon is usually needed by using of the traditional model predictive control (MPC) methods, therefore, the high computational complexity and large computational burthen are also met. For the above cases, the paper firstly uses the multiscale decomposition technique and decorrelation capability from discrete wavelet transforms to transform the original problems from time domain into multiscale domain, reduce the complexity, and establish a multiscale models. Secondly, one new multiscale parallel MPC algorithm is proposed based on the multiscale model, the new algorithm possesses of some good characteristic, such as based on the implement of this method reduces the complexity and increases running speed of algorithm, and it can ensure robust stability. Finally, the difference in performance between traditional model predictive control (MPC) and multiscale model predictive control (MSMPC) can be showed by simulation result