High Order Differential Feedback Control for Nonlinear Systems

2003, Volume 5, Issue 8

Abstract

Keywords

Figures

References

Related Research

Strategic Study of CAE >> 2003, Volume 5, Issue 8

High Order Differential Feedback Control for Nonlinear Systems

1. Department of Automation , Tianjin University of Science & Technology, Tianjin 300222 , China

2. Department of Automation, Nankai University, Tianjin 300071 , China

Funding project：国家自然科学基金资助项目（60174021），天津市高等学校科技发展基金资助项目（020603） Received: 2003-03-05 Revised: 2003-04-24 Available online: 2003-08-20

HTML73 PDF 21 Collect 0

Next Previous

Abstract

This article presents high differential feedback control idea that does not rely on the model of the controlled system. Its control objective is that the output of the system and its differential and high differentials approximate the given reference input and its differential and high order differentials. It will improve largely the requirement of the control quality. Based on the idea, the high order differentiator (HOD) that is well able to extract differential and high order differentials of measured signals is designed. The proposed HOD has a few parameters and is easily adjusted. Its stability, convergence and filtering characteristic are proved. Furthermore, is designed, high order differential feedback adaptive controllers (HODFC) for unknown model nonlinear SISO and MIMO systems with unknown disturbance are presents respectively, the analysis of stability and robustness of the closed system is given, and linearized decoupling control is achieved.

Keywords

high order differentiator ; high differential feedback controller ; stability ; robustness ; decoupling control

Figures

图1

图2

图3

图4

图5

图6

图7

图8

图9

图10

图11

图12

图13

图14

图15

图16

图17

图18

References

[ 1 ] 王伟，张晶涛，柴天佑.PID参数先进整定方法综述［J］．自动化学报，2000,26（3）：347～355

[ 2 ] 韩京清.非线性PID控制器［J］.自动化学报，1994,20(4):487~490

[ 3 ] Åuström K J,Hägglund T.Automatic tuning of PID controllers[M]. Research Triangle Park,North Carolina:Instrument Society of America,1988

[ 4 ] Åuström K J, Hägglund T. PID controllers:theory, design,and tuning,2nd Edition[M].Research Triangle Park,North Carolina:Instrument Society of America.1995

[ 5 ] Esfandiari F, Khalil H K. Output feedback stabilization of fully linearizable systems[J].Int J Contr,1992,56:1007~1037

[ 6 ] Teel A,Praly L. Global stabilizability and observability imply semi-global stabilizabilty by outputfeedback[J]. Syst Contr Lett,1994,22:313~325

[ 7 ] Khalil H K. Adaptive output feedback control of nonlinear systems represented by input-output models [J].IEEE Trans Auto Contr,1996,41(2):177~ 188

Related Research