Model⁃Free Predictive Control for a Kind of High Order Nonlinear Systems

作     者：Ye Tian Baili Su Ye Tian;Baili Su

作者机构：School of Engineering CollegeQufu Normal UniversityRizhao 276826ShandongChina 

出 版 物：《Journal of Harbin Institute of Technology(New Series)》 (哈尔滨工业大学学报（英文版）)

年 卷 期：2022年第29卷第2期

页      面：62-69页

学科分类：07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

基　　金：Sponsored by the National Natural Science Foundation of China(Grant No.61803224) the Natural Science Foundation of Shandong Province(Grant No.ZR2019QF005). 

主　　题：nonlinear system compact dynamic linearization(CDL) model predictive control(MPC) model-free control(MFC) projection algorithm 

摘      要：For a type of high⁃order discrete⁃time nonlinear systems(HDNS)whose system models are undefined,a model⁃free predictive control(MFPC)algorithm is proposed in this paper.At first,an estimation model is given by the improved projection algorithm to approach the controlled nonlinear system.Then,on the basis of the estimation model,a predictive controller is designed by solving the finite time domain rolling optimization quadratic function,and the controller’s explicit analytic solution is also obtained.Furthermore,the closed⁃loop system s stability can be ensured.Finally,the results of simulation reveal that the presented control strategy has a faster convergence speed as well as more stable dynamic property compared with the model⁃free sliding mode control(MFSC).