Abstract
This paper addresses the problem of global finite-time stabilization for a class of uncertain switched nonlinear systems via output feedback under arbitrary switchings. Based on the adding a power integrator approach, we design a homogeneous observer and controller for the nominal switched system without the perturbing nonlinearities. Then, a scaling gain is introduced into the proposed output feedback stabilizer to implement global finite-time stability of the closed-loop system. In addition, the proposed approach can be also extended to a class of switched nonlinear systems with upper-triangular growth condition. Two examples are given to illustrate the effectiveness of the proposed method.
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Recommended by Editor Jessie (Ju H.) Park. This work was supported in part by National Natural Science Foundation of China (Nos. 61473082, 61473158), Qing Lan Project, and PAPD.
Junyong Zhai received his Ph.D. degree in Automatic Control from Southeast University in 2006. From September 2009 to September 2010, he was a postdoctoral research fellow at the University of Texas at San Antonio. He is a professor at the School of Automation, Southeast University. His research interests include nonlinear systems control, robot control, stochastic time-delay systems, and multiple models switching control.
Zhibao Song received his B.S. degree at School of Mathematics and Statistics, Taishan University, in 2012, and M.S. degree at School of Engineering, Qufu Normal University, in 2015. He is currently pursuing his Ph.D. degree at School of Automation, Southeast University. His research interests include time-delay systems, switched systems, stochastic systems and adaptive control.
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Zhai, J., Song, Z. Global finite-time stabilization for a class of switched nonlinear systems via output feedback. Int. J. Control Autom. Syst. 15, 1975–1982 (2017). https://doi.org/10.1007/s12555-016-0490-z
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DOI: https://doi.org/10.1007/s12555-016-0490-z