An improved constrained model predictive control approach for Hammerstein-Wiener nonlinear systems
来源期刊：中南大学学报(英文版)2014年第3期
论文作者：LI Yan(李妍) 陈雪原 毛志忠 YUAN Ping(袁平)
文章页码：926 - 932
Key words：Hammerstein-Wiener nonlinear systems; model predictive control; parameter-dependent Lyapunov functions; stability; linear matrix inequalities (LMIs)
Abstract: 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.
LI Yan(李妍)1, CHEN Xue-yuan(陈雪原)1, MAO Zhi-zhong(毛志忠)2, YUAN Ping(袁平)2
(1. AVIC Aerodynamics Research Institute,
Aviation Key Laboratory of Science and Technology on Aerodynamics of High Speed and High Renolds Number, Shenyang 110034, China;
2. School of Information Science and Engineering, Northeastern University, Shenyang 110004, China)
Abstract: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.
Key words:Hammerstein-Wiener nonlinear systems; model predictive control; parameter-dependent Lyapunov functions; stability; linear matrix inequalities (LMIs)
