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Robust Adaptive Dynamic Programming and Feedback Stabilization of Nonlinear Systems | IEEE Journals & Magazine | IEEE Xplore

Robust Adaptive Dynamic Programming and Feedback Stabilization of Nonlinear Systems


Abstract:

This paper studies the robust optimal control design for a class of uncertain nonlinear systems from a perspective of robust adaptive dynamic programming (RADP). The obje...Show More

Abstract:

This paper studies the robust optimal control design for a class of uncertain nonlinear systems from a perspective of robust adaptive dynamic programming (RADP). The objective is to fill up a gap in the past literature of adaptive dynamic programming (ADP) where dynamic uncertainties or unmodeled dynamics are not addressed. A key strategy is to integrate tools from modern nonlinear control theory, such as the robust redesign and the backstepping techniques as well as the nonlinear small-gain theorem, with the theory of ADP. The proposed RADP methodology can be viewed as an extension of ADP to uncertain nonlinear systems. Practical learning algorithms are developed in this paper, and have been applied to the controller design problems for a jet engine and a one-machine power system.
Page(s): 882 - 893
Date of Publication: 02 January 2014

ISSN Information:

PubMed ID: 24808035

Funding Agency:

Author image of Yu Jiang
Department of Electrical and Computer Engineering, Polytechnic School of Engineering of New York University, Brooklyn, NY, USA
Yu Jiang (S'11) was born in Xi'an, China. He received the B.Sc. degree in applied mathematics from Sun Yat-Sen University, Guangzhou, China, in 2006, and the M.Sc. degree in automation science and engineering from the South China University of Technology, Guangzhou, in 2009. Currently, he is pursuing the Ph.D. degree with the Control and Networks Laboratory, Department of Electrical and Computer Engineering, Polytechnic S...Show More
Yu Jiang (S'11) was born in Xi'an, China. He received the B.Sc. degree in applied mathematics from Sun Yat-Sen University, Guangzhou, China, in 2006, and the M.Sc. degree in automation science and engineering from the South China University of Technology, Guangzhou, in 2009. Currently, he is pursuing the Ph.D. degree with the Control and Networks Laboratory, Department of Electrical and Computer Engineering, Polytechnic S...View more
Author image of Zhong-Ping Jiang
Department of Electrical and Computer Engineering, Polytechnic School of Engineering of New York University, Brooklyn, NY, USA
Zhong-Ping Jiang (M'94–SM'02–F'08) received the B.Sc. degree in mathematics from the University of Wuhan, Wuhan, China, in 1988, the M.Sc. degree in statistics from the University of Paris XI, Paris, France, in 1989, and the Ph.D. degree in automatic control and mathematics from Ecole des Mines de Paris, Paris, in 1993.
He is currently a Professor of electrical and computer engineering with the Polytechnic School of Engine...Show More
Zhong-Ping Jiang (M'94–SM'02–F'08) received the B.Sc. degree in mathematics from the University of Wuhan, Wuhan, China, in 1988, the M.Sc. degree in statistics from the University of Paris XI, Paris, France, in 1989, and the Ph.D. degree in automatic control and mathematics from Ecole des Mines de Paris, Paris, in 1993.
He is currently a Professor of electrical and computer engineering with the Polytechnic School of Engine...View more

Author image of Yu Jiang
Department of Electrical and Computer Engineering, Polytechnic School of Engineering of New York University, Brooklyn, NY, USA
Yu Jiang (S'11) was born in Xi'an, China. He received the B.Sc. degree in applied mathematics from Sun Yat-Sen University, Guangzhou, China, in 2006, and the M.Sc. degree in automation science and engineering from the South China University of Technology, Guangzhou, in 2009. Currently, he is pursuing the Ph.D. degree with the Control and Networks Laboratory, Department of Electrical and Computer Engineering, Polytechnic School of Engineering, New York University, Brooklyn, NY, USA.
He was a Research Intern with the Mitsubishi Electric Research Laboratories, Cambridge, MA, USA, in 2013. His current research interests include adaptive dynamic programming, nonlinear optimal control, and control applications in biological/biomedical and power systems.
Yu Jiang received the Shimemura Young Author Award (with Z. P. Jiang) at the 9th Asian Control Conference, Istanbul, Turkey, in 2013.
Yu Jiang (S'11) was born in Xi'an, China. He received the B.Sc. degree in applied mathematics from Sun Yat-Sen University, Guangzhou, China, in 2006, and the M.Sc. degree in automation science and engineering from the South China University of Technology, Guangzhou, in 2009. Currently, he is pursuing the Ph.D. degree with the Control and Networks Laboratory, Department of Electrical and Computer Engineering, Polytechnic School of Engineering, New York University, Brooklyn, NY, USA.
He was a Research Intern with the Mitsubishi Electric Research Laboratories, Cambridge, MA, USA, in 2013. His current research interests include adaptive dynamic programming, nonlinear optimal control, and control applications in biological/biomedical and power systems.
Yu Jiang received the Shimemura Young Author Award (with Z. P. Jiang) at the 9th Asian Control Conference, Istanbul, Turkey, in 2013.View more
Author image of Zhong-Ping Jiang
Department of Electrical and Computer Engineering, Polytechnic School of Engineering of New York University, Brooklyn, NY, USA
Zhong-Ping Jiang (M'94–SM'02–F'08) received the B.Sc. degree in mathematics from the University of Wuhan, Wuhan, China, in 1988, the M.Sc. degree in statistics from the University of Paris XI, Paris, France, in 1989, and the Ph.D. degree in automatic control and mathematics from Ecole des Mines de Paris, Paris, in 1993.
He is currently a Professor of electrical and computer engineering with the Polytechnic School of Engineering, New York University, Brooklyn, NY, USA. He is the co-author of the books Stability and Stabilization of Nonlinear Systems (Springer, 2011) and Nonlinear Control of Dynamic Networks (CRC Press, Taylor & Francis, 2014). His current research interests include stability theory, robust, adaptive and distributed nonlinear control, adaptive dynamic programming, and their applications to information, mechanical and biological systems.
Prof. Jiang is a Fellow of IFAC. He has served as an Associate Editor for numerous journals and is a Deputy-Editor-in-Chief for the newly launched Journal of Control and Decision. He is a recipient of the National Science Foundation (NSF) CAREER Award and the Outstanding Overseas Chinese Scholars Award from the NSF of China.
Zhong-Ping Jiang (M'94–SM'02–F'08) received the B.Sc. degree in mathematics from the University of Wuhan, Wuhan, China, in 1988, the M.Sc. degree in statistics from the University of Paris XI, Paris, France, in 1989, and the Ph.D. degree in automatic control and mathematics from Ecole des Mines de Paris, Paris, in 1993.
He is currently a Professor of electrical and computer engineering with the Polytechnic School of Engineering, New York University, Brooklyn, NY, USA. He is the co-author of the books Stability and Stabilization of Nonlinear Systems (Springer, 2011) and Nonlinear Control of Dynamic Networks (CRC Press, Taylor & Francis, 2014). His current research interests include stability theory, robust, adaptive and distributed nonlinear control, adaptive dynamic programming, and their applications to information, mechanical and biological systems.
Prof. Jiang is a Fellow of IFAC. He has served as an Associate Editor for numerous journals and is a Deputy-Editor-in-Chief for the newly launched Journal of Control and Decision. He is a recipient of the National Science Foundation (NSF) CAREER Award and the Outstanding Overseas Chinese Scholars Award from the NSF of China.View more

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