Output Feedback Fuzzy Control of Nonlinear Hyperbolic PDE Systems Based on Polynomial-Fuzzy-Model-Based Control Approach

作     者：Shun-Hung Tsai Chia-Min Pan Jun-Wei Wang 

作者单位：Graduate Institute of Automation TechnologyTaipei University of Technology School of Automation and Electrical EngineeringUniversity of Science and Technology Beijing 

会议名称：《第37届中国控制会议》

会议日期：2018年

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070104[理学-应用数学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：supported by the National Taipei University of Technology and University of Science and Technology Beijing(NTUT-USTB)Joint Research Program under Grant NTUT-USTB-106-09 

关 键 词：Partial Differential Equations(PDEs) Output Feedback Control Polynomial Fuzzy Model 

摘      要：This paper investigates fuzzy output feedback control for a class of nonlinear distributed parameter systems that is described by first-order hyperbolic partial differential equations（PDEs）.Firstly,a nonlinear hyperbolic PDE model is represented by the polynomial fuzzy PDE *** on the parallel distributed compensation technique（PDC）,a polynomial output feedback fuzzy controller is then constructed to guarantee exponential stability of closed-loop polynomial fuzzy hyperbolic PDE system.A sufficient condition for existence of such fuzzy controller is presented in terms of sum-of-squares（SOS）.Finally,numerical simulation results are provided to illustrate the effectiveness and validity of the proposed results.