Model predictive control synthesis algorithm based on polytopic terminal region for Hammerstein-Wiener nonlinear systems  

作　　者：李妍 陈雪原 毛志忠 

机构地区：[1]AVIC Aerodynamics Research Institute,Aviation Key Laboratory of Science and Technology on Aerodynamics of High Speed and High Reynolds Number [2]School of Information Science and Engineering,Northeastern University

出　　处：《Journal of Central South University》2017年第9期2028-2034,共7页中南大学学报（英文版）

基　　金：Project(61074074)supported by the National Natural Science Foundation,China;Project(KT2012C01J0401)supported by the Group Innovation Fund,China

摘　　要：An improved model predictive control algorithm is proposed for Hammerstein-Wiener nonlinear systems.The proposed synthesis algorithm contains two parts:offline design the polytopic invariant sets,and online solve the min-max optimization problem.The polytopic invariant set is adopted to replace the traditional ellipsoid invariant set.And the parameter-correlation nonlinear control law is designed to replace the traditional linear control law.Consequently,the terminal region is enlarged and the control effect is improved.Simulation and experiment are used to verify the validity of the wind tunnel flow field control algorithm.An improved model predictive control algorithm is proposed for Hammerstein-Wiener nonlinear systems.The proposed synthesis algorithm contains two parts：offline design the polytopic invariant sets,and online solve the min-max optimization problem.The polytopic invariant set is adopted to replace the traditional ellipsoid invariant set.And the parameter-correlation nonlinear control law is designed to replace the traditional linear control law.Consequently,the terminal region is enlarged and the control effect is improved.Simulation and experiment are used to verify the validity of the wind tunnel flow field control algorithm.

关 键 词：Hammerstein-Wiener nonlinear systems model predictive control polytopic terminal constraint set parameter-correlation nonlinear control stability linear matrix inequalities （LMIs） 

分 类 号：O231[理学—运筹学与控制论]