Abstract
In this paper, we discuss the adaptive output feedback control problem for switched stochastic nonlinear systems which involve uncertain time-varying parameters and unknown output functions. The drift terms together with diffusion terms meet the conditions for linear growth with unknown rate. Firstly, an adaptive output feedback controller is proposed based on the backstepping method. Then, by using the stochastic Lyapunov stability theorem, all signals of the closed-loop system are proven to be bounded in probability and the system states are almost certain to reach the origin under arbitrary switching. Finally, a numerical example is provided to test the reliability of the proposed method.
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Recommended by Associate Editor Yan-Jun Liu under the direction of Editor Euntai Kim. This work was supported in part by Natural Science Foundation of China (61773201 and 61622304), Natural Science Foundation of Jiangsu Province (BK20160035), the Fundamental Research Funds for the Central Universities (NE2014202, NE2015002).
Hui Ye was born in Jiangyan, China, in 1978. She received her M.S. degree from College of Mathematics and Information Science, Jiangsu University, Zhenjiang, China. She is currently pursuing a Ph.D. degree at College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China. She is an associate professor at School of Science, Jiangsu University of Science and Technology. Her current research interests include stability analysis and fault tolerant control of switched systems.
Bin Jiang was born in Poyang, China, in 1966. He received his Ph.D. degree in automatic control from Northeastern University, Shenyang, China, in 1995. He had been a Post-Doctoral Fellow, a Research Fellow, an Invited Professor, and a Visiting Professor in Singapore, France, USA, and Canada, respectively. He is currently a Chair Professor of Cheung Kong Scholar Program in Ministry of Education and the vice president of Nanjing University of Aeronautics and Astronautics, Nanjing, China. He has authored eight books and over 200 referred international journal papers and conference papers. His current research interests include intelligent fault diagnosis and fault tolerant control and their applications to helicopters, satellites and high-speed trains. Dr. Jiang was a recipient of the First Class Prize of Natural Science Award of Ministry of Education of China in 2015. He currently serves as an Associate Editor or an Editorial Board Member for a number of journals such as the IEEE Transactions on Control Systems Technology, Neurocomputing, International Journal of Control, Automation, and Systems, and Journal of Astronautics, Control, and Decision. He is the Chair of Control Systems Chapter in IEEE Nanjing Section, a member of IFAC Technical Committee on Fault Detection, Supervision, and Safety of Technical Processes. He has been the Principle Investigator on several projects of National Natural Science Foundation of China. He won the second class Prize of National Natural Science Award of China.
Hao Yang was born in Nanjing, China, in 1982. He received his Ph.D. degree in automatic control from Université Lille 1: Sciences et Technologies, France, and Nanjing University of Aeronautics and Astronautics (NUAA), China, both in 2009. Since 2009, he joined College of Automation Engineering in NUAA, where he is currently a full professor. His current research interests include stability analysis and fault tolerant control of switched and interconnected systems with their applications. Dr. Yang has published two books and more than 60 international journal papers. He was a recipient of the National Science Fund for Excellent Young Scholars in 2016 and the Top-Notch Young Talents of Central Organization Department of China in 2017. He has served as an Associate Editor of Nonlinear Analysis: Hybrid Systems, Cyber-Physical Systems, and Acta Automatica Sinica.
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Ye, H., Jiang, B. & Yang, H. Adaptive Output Feedback Control for Switched Stochastic Nonlinear Systems with Time-varying Parameters and Unknown Output Functions. Int. J. Control Autom. Syst. 17, 2807–2818 (2019). https://doi.org/10.1007/s12555-019-0028-2
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DOI: https://doi.org/10.1007/s12555-019-0028-2