Finite-time control for systems subject to multiple disturbances

Abstract

Finite-time stabilisation is studied for a class of nonlinear systems subject to multiple disturbances, in which, the disturbances are divided into two classes, one is the disturbance with partly known information, another is uncertain bounded disturbances. The first one is estimated by constructing an adaptive disturbance observer (ADO), the unknown nonlinear function is approximated by the fuzzy logic systems. Then a finite-time composite controller is constructed by incorporating the disturbance observer-based control (DOBC) with the finite-time stability theory, under which the system state tends to be stable within a finite time. Eventually, the manoeuvrability and validity of the presented tactics are verified by simulation examples.

Keywords:

• Multiple disturbances
• DOBC
• anti-disturbance control
• fuzzy logic function
• finite-time stabilisation

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the National Natural Science Foundation of China (61973149,61903173) and the Key project of the Natural Science Foundation of Shandong Province (ZR2020KF029).

Notes on contributors

Huifeng Zhang

Huifeng Zhang is an associate professor with the School of Mathematics and Statistics Science, Ludong University. Her research interest covers robust control, nonlinear control and disturbance observer-based anti-disturbance control.

Xinjiang Wei

Xinjiang Wei is a professor at the School of Mathematics and Statistical Sciences, Ludong University. His research interest covers stochastic system control, nonlinear control and disturbance observer-based anti-disturbance control. Corresponding author of this paper.

Junjie Han

Junjie Han is a master student with the School of Mathematics and Statistics Science, Ludong University. Her research interest covers robust control, nonlinear control and disturbance observer-based anti-disturbance control.

Xin Hu

Xin Hu is an associate professor with the School of Mathematics and Statistics Science, Ludong University and a post-doctoral fellow with the School of Automation Engineering, University of Electronic Science and Technology of China. His research interests include anti-disturbance control, intelligent control and ship motion control.

Jian Han

Jian Han is currently an associate professor at the School of Mathematics and Statistics Science, Ludong University, Yantai, China. His research interests include fault diagnosis, fault tolerant control, disturbance attenuation. He was awarded the Certificate of Outstanding Contribution in Reviewing for the journal Neurocomputing in 2018.