基于分段Lyapunov函数的Hammerstein-Wiener非线性预测控制  

Hammerstein-Wiener nonlinear predictive control based on piecewise Lyapunov function

作　　者：李妍[1] 毛志忠[1] 王福利[1] 王琰 

机构地区：[1]东北大学信息科学与工程学院,沈阳110819 [2]辽阳市发展和改革委员会,辽宁辽阳111000

出　　处：《控制与决策》2011年第5期650-654,666,共6页Control and Decision

基　　金：国家高技术研究发展计划项目(2007AA041401;2007AA04Z194)

摘　　要：针对输入和输出受约束的Hammerstein-Wiener型非线性系统,建立T-S模糊模型,并提出一种基于分段Lyapunov函数的非线性预测控制算法.通过构造分段二次Lyapunov函数,分析非线性系统的稳定性,降低普通二次Lyapunov函数的保守性;通过离线设计分段反馈控制律,在线实施符合条件的反馈控制律,极大程度地提高了在线计算效率.仿真结果验证了该方法的有效性.For Hammerstein-Wiener nonlinear systems with the input and output constraints,the T-S fuzzy model is established,and then a nonlinear predictive control algorithm based on piecewise Lyapunov function is proposed.By constructing the piecewise Lyapunov function,the stability of nonlinear system is analyzed and the conversation of common quadratic Lyapunov function is reduced.By of fline designing the piecewise feedback control law and online implementing the appropriate feedback control law,the online computational efficiency is improved greatly.The simulation results show the effectiveness of the proposed algorithm.

关 键 词：Hammerstein-Wiener非线性系统 T-S模糊模型 分段LYAPUNOV函数 模型预测控制 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]