Abstract:
This paper is devoted to the control of Markov jump nonlinear systems with general transition probabilities (TPs) allowed to be known, uncertain, and unknown. With the he...Show MoreMetadata
Abstract:
This paper is devoted to the control of Markov jump nonlinear systems with general transition probabilities (TPs) allowed to be known, uncertain, and unknown. With the help of the S-procedure to dispose the system nonlinearities and the TP property to eliminate the coupling between unknown TP and Lyapunov variable, an extended bounded real lemma for the considered system to be stochastically stable with the prescribed H∞ performance is established in the framework of linear matrix inequalities. To handle the nonlinearity incurred by uncertain TP for controller synthesis, a separated method is proposed to decouple the interconnection between Lyapunov variables and controller gains. A numerical example is given to show the effectiveness of the proposed method.
Published in: IEEE Transactions on Cybernetics ( Volume: 46, Issue: 9, September 2016)
Funding Agency:
College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing, China
Department of Electrical Engineering, Yeungnam University, Kyonsan, Korea
Mouquan Shen received the Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2011.
He is currently an Associate Professor with Nanjing Technology University, Nanjing, China. His current research interests include Markov jump systems, robust control, and networked control systems.
Mouquan Shen received the Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2011.
He is currently an Associate Professor with Nanjing Technology University, Nanjing, China. His current research interests include Markov jump systems, robust control, and networked control systems.View more
Department of Electrical Engineering, Yeungnam University, Kyonsan, Korea
Ju H. Park received the Ph.D. degree in electronics and electrical engineering from POSTECH, Pohang, Korea, in 1997.
From 1997 to 2000, he was a Research Associate with ERC-ARC, POSTECH. In 2000, he joined Yeungnam University, Kyongsan, Korea, where he is currently the Chuma Chair Professor. From 2006 to 2007, he was a Visiting Professor with the Department of Mechanical Engineering, Georgia Institute of Technology, Atlant...Show More
Ju H. Park received the Ph.D. degree in electronics and electrical engineering from POSTECH, Pohang, Korea, in 1997.
From 1997 to 2000, he was a Research Associate with ERC-ARC, POSTECH. In 2000, he joined Yeungnam University, Kyongsan, Korea, where he is currently the Chuma Chair Professor. From 2006 to 2007, he was a Visiting Professor with the Department of Mechanical Engineering, Georgia Institute of Technology, Atlant...View more
College of Information Science Engineering, Northeastern University, Shenyang, China
Dan Ye received the B.S. and M.S. degrees in mathematics and applied mathematics from Northeast Normal University, Changchun, China, in 2001 and 2004, respectively, and the Ph.D. degree in control theory and engineering from Northeastern University, Shenyang, China, in 2008.
She was a Lecturer with the Northeastern University from 2008 to 2010. She is currently a Professor with the College of Information Science and Engine...Show More
Dan Ye received the B.S. and M.S. degrees in mathematics and applied mathematics from Northeast Normal University, Changchun, China, in 2001 and 2004, respectively, and the Ph.D. degree in control theory and engineering from Northeastern University, Shenyang, China, in 2008.
She was a Lecturer with the Northeastern University from 2008 to 2010. She is currently a Professor with the College of Information Science and Engine...View more
Contents College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing, China
Department of Electrical Engineering, Yeungnam University, Kyonsan, Korea
Mouquan Shen received the Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2011.
He is currently an Associate Professor with Nanjing Technology University, Nanjing, China. His current research interests include Markov jump systems, robust control, and networked control systems.
Mouquan Shen received the Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2011.
He is currently an Associate Professor with Nanjing Technology University, Nanjing, China. His current research interests include Markov jump systems, robust control, and networked control systems.View more
Department of Electrical Engineering, Yeungnam University, Kyonsan, Korea
Ju H. Park received the Ph.D. degree in electronics and electrical engineering from POSTECH, Pohang, Korea, in 1997.
From 1997 to 2000, he was a Research Associate with ERC-ARC, POSTECH. In 2000, he joined Yeungnam University, Kyongsan, Korea, where he is currently the Chuma Chair Professor. From 2006 to 2007, he was a Visiting Professor with the Department of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA. His current research interests include robust control and filtering, neural networks, complex networks, multiagent systems, and chaotic systems. He has published a number of papers in the above areas.
Prof. Park serves as an Editor for the International Journal of Control, Automation and Systems. He is an Associate Editor/Editorial Board Member for several international journals, including IET Control Theory and Applications, Applied Mathematics and Computation, Nonlinear Dynamics, the Journal of The Franklin Institute, the Journal of Applied Mathematics and Computing, and Congent Engineering.
Ju H. Park received the Ph.D. degree in electronics and electrical engineering from POSTECH, Pohang, Korea, in 1997.
From 1997 to 2000, he was a Research Associate with ERC-ARC, POSTECH. In 2000, he joined Yeungnam University, Kyongsan, Korea, where he is currently the Chuma Chair Professor. From 2006 to 2007, he was a Visiting Professor with the Department of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA. His current research interests include robust control and filtering, neural networks, complex networks, multiagent systems, and chaotic systems. He has published a number of papers in the above areas.
Prof. Park serves as an Editor for the International Journal of Control, Automation and Systems. He is an Associate Editor/Editorial Board Member for several international journals, including IET Control Theory and Applications, Applied Mathematics and Computation, Nonlinear Dynamics, the Journal of The Franklin Institute, the Journal of Applied Mathematics and Computing, and Congent Engineering.View more
College of Information Science Engineering, Northeastern University, Shenyang, China
Dan Ye received the B.S. and M.S. degrees in mathematics and applied mathematics from Northeast Normal University, Changchun, China, in 2001 and 2004, respectively, and the Ph.D. degree in control theory and engineering from Northeastern University, Shenyang, China, in 2008.
She was a Lecturer with the Northeastern University from 2008 to 2010. She is currently a Professor with the College of Information Science and Engineering, Northeastern University. Her current research interests include fault-tolerant control, robust control, and adaptive control and their applications to flight control systems design.
Dan Ye received the B.S. and M.S. degrees in mathematics and applied mathematics from Northeast Normal University, Changchun, China, in 2001 and 2004, respectively, and the Ph.D. degree in control theory and engineering from Northeastern University, Shenyang, China, in 2008.
She was a Lecturer with the Northeastern University from 2008 to 2010. She is currently a Professor with the College of Information Science and Engineering, Northeastern University. Her current research interests include fault-tolerant control, robust control, and adaptive control and their applications to flight control systems design.View more
