Control synthesis for a class of nonlinear systems based on partition of unity  

作　　者：Dongfang HAN Yinhe WANG Siying ZHANG 

机构地区：[1]Science College, Shantou University, Shantou Guangdong 515063, China [2]College of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110006, China

出　　处：《控制理论与应用（英文版）》2007年第2期145-151,共7页

基　　金：the National Natural Science Foundation of Guangdong Province (No.032035).

摘　　要：A partition-of-unity-based approach is proposed to derive an approximate model for a class of nonlinear systems. The precision of the approximate model is analyzed by using the modulus of continuity of continuous functions. The system stability of the approximate model is analyzed by using Lyapunov stability theory. A design algorithm for constructing tracking controllers with tracking performance related to tracking error is given based on the approximate model and the partition of unity method.A partition-of-unity-based approach is proposed to derive an approximate model for a class of nonlinear systems. The precision of the approximate model is analyzed by using the modulus of continuity of continuous functions. The system stability of the approximate model is analyzed by using Lyapunov stability theory. A design algorithm for constructing tracking controllers with tracking performance related to tracking error is given based on the approximate model and the partition of unity method.

关 键 词：Partition of unity Approximate model Modulus of continuity H∞ tracking controller 

分 类 号：O231.2[理学—运筹学与控制论]