Journal of Systems Engineering and Electronics ›› 2018, Vol. 29 ›› Issue (4): 834-843.doi: 10.21629/JSEE.2018.04.18

• Control Theory and Application • Previous Articles     Next Articles

Output regulation of singular linear systems with input saturation by composite nonlinear feedback control

Xiaoyan LIN(), Lingmei CHEN(), Dongyun LIN*(), Weiyao LAN()   

  • Received:2016-12-12 Online:2018-08-01 Published:2018-08-30
  • Contact: Dongyun LIN E-mail:hui9887@126.com;chenlm4153@gmail.com;dylin@xmu.edu.cn;wylan@xmu.edu.cn
  • About author:LIN Xiaoyan was born in 1984. She received her B.S. degree in automation from Jimei University, and M.S. degree in automation from Xiamen University in 2011. Currently, she is working toward her Ph.D. degree at Xiamen University. Her research interests include robust control, composite nonlinear feedback control and output regulation. E-mail: hui9887@126.com|CHEN Lingmei was born in 1991. She received her B.S. degree in automation from Xiamen University in 2014. Currently, she is working toward her M.S. degree in control engineering from Xiamen University. Her research interests include robust control, composite nonlinear feedback control and output regulation. E-mail: chenlm4153@gmail.com|LIN Dongyun was born in 1971. She received her M.S. and Ph.D. degrees in control theory and control engineering in 2000 and 2011, respectively, both from the Department of Automation, Xiamen University, China. She is now an assistant professor in the Department of Automation, Xiamen University, China. Her research interests include singular systems and image segmentation. E-mail: dylin@xmu.edu.cn|LAN Weiyao was born in 1973. He received his B.S. degree in precision instrument and mechanical engineering from Chongqing University in 1995, M.S. degree in control theory and control engineering from Xiamen University in 1998, and Ph.D. degree in automation and computer aided engineering from Chinese University of Hong Kong in 2004. From April 2004 to December 2006, he was a Research Fellow in the Department of Electrical and Computer Engineering, National University of Singapore. Since December 2006, he has been with the Department of Automation, Xiamen University, where he is currently a professor. His research interests include nonlinear control theory and applications, intelligent control technology, robust and optimal control. E-mail: wylan@xmu.edu.cn
  • Supported by:
    the National Natural Science Foundation of China(61374035);This work was supported by the National Natural Science Foundation of China (61374035)

Abstract:

Composite nonlinear feedback (CNF) control technique for tracking control problems is extended to the output regulation problem of singular linear systems with input saturation. A state feedback CNF control law and an output feedback CNF control law are constructed respectively for the output regulation problem of singular linear systems with input saturation. It is shown that the output regulation problem by CNF control is solvable under the same solvability conditions of the output regulation problem by linear control. However, with the virtue of the CNF control, the transient performance of the closed-loop system can be improved by carefully designing the linear part and the nonlinear part of the CNF control law. The design procedure and the improvement of the transient performance of the closed-loop system are illustrated with a numerical simulation.

Key words: singular linear system, input saturation, output regulation, composite nonlinear feedback