Abstract
Global stabilization of a class of switched nonlinear systems with unknown arbitrarily switched output function is achieved via output feedback. A couple of improved high-gain observer and output feedback control law are proposed by using dual high-gain scaling technique. In the presence of non-differentiable output function, a common dynamic output feedback controller is established, where a generalized Lyapunov inequality is introduced with explicit calculation. By constructinga single Lyapunov function for all subsystems, it shows the closed-loop switched systems are globally asymptotically stable under arbitrary switching. Ultimately, two examples are given to illustrate the effectiveness of our control scheme.
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This work was supported in part by the Fundamental Research Funds for the Provincial Universities of Zhejiang (Grant Number GK219909299001-002, GK229909299001-902), the Zhejiang Provincial Natural Science Foundation of China (LY24F030011, LY23F030005) and the National Natural Science Foundation of China (62373131).
Shuyan Zhan received his B.S. degree in automation from Hangzhou Dianzi University in 2021. He is currently pursuing a master’s degree in control science and engineering from Hangzhou Dianzi University with a focus on the nonlinear control system. His current research interests include switched nonlinear system control and control of time-delay nonlinear systems.
Xianglei Jia received his Ph.D. degree from the Nanjing University of Science and Technology, Nanjing, China, in 2017. From November 2015 to May 2016, he was a Visiting Scholar with the Department of Electronic and Information Systems, Shibaura Institute of Technology, Japan. He joined the School of Automation, Hangzhou Dianzi University, as an Associate Professor, in 2017. His current research interests include adaptive control of nonlinear systems, switched nonlinear control systems, and control of time-delay systems.
Chengdi Xiang received her Ph.D. degree in electrical engineering from University of New South Wales, Australia, in 2016. She was a Research Associate in the School of Engineering and Information Technology, University of of New South Wales, Canberra, in 2016. She is currently an Associate Professor with the School of Automation, Hangzhou Dianzi University. Her research interests include quantum coherent control, quantum feedback control, robust control and switched nonlinear systems.
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Zhan, S., Jia, X. & Xiang, C. Global Output Feedback Stabilization for Switched Nonlinear Systems Under Arbitrary Switching. Int. J. Control Autom. Syst. 22, 1555–1562 (2024). https://doi.org/10.1007/s12555-022-0922-x
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DOI: https://doi.org/10.1007/s12555-022-0922-x