Abstract
The problem of almost disturbance decoupling (ADD) for a class of inherently nonlinear systems is considered. The controlled systems are beyond triangular form and possess uncontrollable linearization. The performance of ADD is characterized in terms of L 2−L 2p gain. By using the tool of adding a power integrator, under a set of growth conditions a smooth sate feedback controller is explicitly constructed to attenuate the influence of the disturbance on the output with an arbitrary degree.
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Recommended by Editorial Board member Guang-Hong Yang under the direction of Editor Jae Weon Choi. This work was supported by the Program for Changjiang Scholars and Innovative Research Team in University.
Yan-Ming Fu received his B.S. degree in Automatic Control from the Northeast Institute of Electric Power, China, in 2001, and the Ph.D. degree in Control Theory and Control Engineering from Harbin Institute of Technology, China, in 2006. He is currently a Lecture at the Center for Control Theory and Guidance Technology, Harbin Institute of Technology, China. His research interests include robust control and filtering, jumping systems, and time-delay systems.
Ai-Guo Wu was born in Gong’an County, Hubei Province, China on September 20, 1980. He received the B.Eng. degree in Automationin 2002, M.Eng. degree in Navigation, Guidance and Control in 2004 and Ph.D. degree in Control Science and Engineering in 2008 all from Harbin Institute of Technology. He has ever served as a General Secretary of the 25th Chinese Control Conference at Harbin. Since Dec. 2007, he has served as a Reviewer from American Mathematical Reviews. He is the author and co-author of over 40 publications. Now his main research interests include observer design, descriptor linear systems and nonlinear control.
Guang-Ren Duan was born on April 5, 1962. He received the B.Sc. degree in Applied Mathematics, and both the M. Sc. and Ph.D. degrees in Control Systems Theory. From 1989 to 1991, he was a Post-doctoral Researcher at Harbin Institute of Technology, where he became a Professor of control systems theory in 1991. Prof. Duan visited the University of Hull, UK, and the University of Sheffield, UK from December 1996 to October 1998, and worked at the Queen’s University of Belfast, UK from October 1998 to October 2002. Since August 2000, he has been elected Specially Employed Professor at Harbin Institute of Technology sponsored by the Cheung Kong Scholars Program of the Chinese government. He is currently the Director of the Center for Control Theory and Guidance Technology at Harbin Institute of Technology. He is the author and co-author of over 400 publications. His main research interests include robust control, eigenstructure assignment, descriptor systems, missile autopilot design and magnetic bearing control. Dr. Duan is a Charted Engineer in the UK, a Senior Member of IEEE and a Fellow of IEE.
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Fu, YM., Wu, AG. & Duan, GR. Almost disturbance decoupling for a class of inherently nonlinear systems. Int. J. Control Autom. Syst. 7, 325–330 (2009). https://doi.org/10.1007/s12555-009-0220-x
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DOI: https://doi.org/10.1007/s12555-009-0220-x