基于多面体终端域的Hammerstein-Wiener非线性预测控制  

Predictive Control of Hammerstein-Wiener Nonlinearity Based on Polytopic Terminal Region

作　　者：李妍[1] 毛志忠[1] 王琰 袁平[1] 贾明兴[1] 

机构地区：[1]东北大学信息科学与工程学院,沈阳110004 [2]辽阳市发展和改革委员会,辽阳111000

出　　处：《自动化学报》2011年第5期629-638,共10页Acta Automatica Sinica

基　　金：国家高技术研究发展计划(863计划)(2007AA041401;2007AA04Z194)资助~~

摘　　要：许多实际系统都可以表示成一种中间为线性动态子系统、输入输出端为非线性静态子系统的Hammerstein-Wiener型非线性模型.针对输入和输出受约束的Hammerstein-Wiener型非线性系统,提出一种基于多面体终端域的预测控制综合算法.离线设计时,通过构造一系列多面体不变集,扩大了终端域;在多面体不变集内,设计非线性控制律,减少了常规线性控制律设计的保守性.在线计算时,通过求解有限个线性矩阵不等式(Linear matrix inequalities,LMIs)优化问题,不仅可以满足实时性要求,而且能够改善控制性能.仿真结果表明了采用多面体不变集的优越性.Many actual systems are often represented as the Hammerstein-Wiener nonlinear models,where a linear dynamic subsystem is surrounded by two static nonlinear subsystems at its input and output.For Hammerstein-Wiener nonlinear systems with the input and output constraints,a predictive control synthesis algorithm based on polytopic terminal region is proposed.At the offline stage,by constructing a series of the polytopic invariant sets,the terminal region is enlarged;in the polytopic invariant set,the nonlinear controller is designed,then the conservation of conventional linear control law design is reduced.At the online stage,by solving a finite number of linear matrix inequality optimization problems,not only the real-time demand can be satisfied,but also the control performance can be improved.Simulation results show the advantages of adopting polyhedron invariant set.

关 键 词：Hammerstein-Wiener非线性模型 模型预测控制 多面体终端域 稳定性 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]