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Journal of Systems Engineering and Electronics ›› 2022, Vol. 33 ›› Issue (3): 706-715.doi: 10.23919/JSEE.2022.000065

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  • 收稿日期:2020-12-12 出版日期:2022-06-18 发布日期:2022-06-24

Exact uncertainty compensation of linear systems by continuous fixed-time output-feedback controller

Shang SHI1,2(), Guosheng ZHANG1(), Huifang MIN3,*(), Yinlong HU1(), Yonghui SUN1()   

  1. 1 College of Energy and Electrical Engineering, Hohai University, Nanjing 211100, China
    2 School of Automation, Southeast University, Nanjing 234299, China
    3 School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
  • Received:2020-12-12 Online:2022-06-18 Published:2022-06-24
  • Contact: Huifang MIN E-mail:shishangshang@foxmail.com;zgs15295770291@163.com;jiejie1043640772@126.com;yinlonghu@outlook.com;sunyonghui168@163.com
  • About author:|SHI Shang was born in 1990. He received his B.S. and M.S. degrees in control theory from Jiangsu University, Zhenjiang, China, in 2013 and 2015, respectively. He received his Ph.D. degree with the School of Automation, Nanjing University of Science and Technology, Nanjing, China. He is now a lecture in the College of Energy and Electrical Engineering, Hohai University. His research interests include sliding mode control, finite-time control, fixed-time control, and time-delay systems. E-mail: shishangshang@yahoo.com||ZHANG Guosheng was born in 1997. He received his B.S. degree in automation from Hohai University, Nanjing, China, in 2021. He is currently working toward his M.S. degree with the College of Energy and Electrical Engineering, Hohai University. His research interests include fixed-time control of wheeled mobile robots and sliding mode control. E-mail: zgs15295770291@163.com||MIN Huifang was born in 1990. She received her M.S. degree from the School of Electrical Engineering and Automation, Jiangsu Normal University, Xuzhou, China, in 2015, and her Ph.D. degree from the School of Automation, Nanjing University of Science and Technology, Nanjing, China, in 2019. She is now a professor in the School of Automation, Nanjing University of Science and Technology, Nanjing. Her research interests include nonlinear adaptive control and stochastic nonlinear control. E-mail: jiejie1043640772@126.com||HU Yinlong was born in 1987. He is now an associate professor in the College of Energy and Electrical Engineering, Hohai University. He received his B.S. degree in electrical engineering and automation in 2010, and his Ph.D. degree in control theory in 2016, from the School of Automation, Nanjing University of Science and Technology, Nanjing, China. His research interests include passive and semi-active vibration control, nonlinear intelligent control theory and its applications in mechanical and electrical systems. E-mail: yinlonghu@outlook.com||SUN Yonghui was born in 1980. He received his Ph.D. degree from City University of Hong Kong, Hong Kong, in 2010. He is currently a professor with the College of Energy and Electrical Engineering, Hohai University, Nanjing, China. He has authored more than 80 papers in refereed international journals. His research interests include stability analysis and control of power systems, optimal planning and operation of integrated energy system, optimization algorithms, and data analysis. E-mail: sunyonghui168@163.com
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (62003131; 62073121; 62173125) and the Natural Science Foundation of Jiangsu Province (BK20200520) .

Abstract:

This paper studies the fixed-time output-feedback control for a class of linear systems subject to matched uncertainties. To estimate the uncertainties and system states, we design a composite observer which consists of a high-order sliding mode observer and a Luenberger observer. Then, a robust output-feedback controller with fixed-time convergence guarantee is constructed. Rigorous theoretical proof shows that with the proposed controller, the system states can converge to zero in fixed-time free of the initial conditions. Finally, simulation comparison with existing algorithms is given. Simulation results verify the effectiveness of the proposed controller in terms of its fixed-time convergence and perfect disturbance rejection.

Key words: linear system, output feedback, matched uncertainty, fixed-time control, observer