An improved constrained model predictive control approach for Hammerstein-Wiener nonlinear systems  

作　　者：李妍 陈雪原 毛志忠 袁平 

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

出　　处：《Journal of Central South University》2014年第3期926-932,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 Innovative Fund,China

摘　　要：Many industry processes can be described as Hammerstein-Wiener nonlinear systems. In this work, an improved constrained model predictive control algorithm is presented for Hammerstein-Wiener systems. In the new approach, the maximum and minimum of partial derivative for input and output nonlinearities are solved in the neighbourhood of the equilibrium. And several parameter-dependent Lyapunov functions, each one corresponding to a different vertex of polytopic descriptions models, are introduced to analyze the stability of Hammerstein-Wiener systems, but only one Lyapunov function is utilized to analyze system stability like the traditional method. Consequently, the conservation of the traditional quadratic stability is removed, and the terminal regions are enlarged. Simulation and field trial results show that the proposed algorithm is valid. It has higher control precision and shorter blowing time than the traditional approach.Many industry processes can be described as Hammerstein-Wiener nonlinear systems. In this work, an improved constrained model predictive control algorithm is presented for Hammerstein-Wiener systems. In the new approach, the maximum and minimum of partial derivative for input and output nonlinearities are solved in the neighbourhood of the equilibrium. And several parameter-dependent Lyapunov functions, each one corresponding to a different vertex of polytopic descriptions models, are introduced to analyze the stability of Hammerstein-Wiener systems, but only one Lyapunov function is utilized to analyze system stability like the traditional method. Consequently, the conservation of the traditional quadratic stability is removed, and the terminal regions are enlarged. Simulation and field trial results show that the proposed algorithm is valid. It has higher control precision and shorter blowing time than the traditional approach.

关 键 词：Hammerstein-Wiener nonlinear systems model predictive control parameter-dependent Lyapunov functions stability linear matrix inequalities （LMIs） 

分 类 号：O415[理学—理论物理]