Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout

Abstract

In this paper, the finite-time boundedness and stabilisation problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. The main results provided in the paper are sufficient conditions for finite-time boundedness and stability via state feedback. An iterative approach is proposed to model NCSs with bounded packet dropout as jump linear systems (JLSs). Based on Lyapunov stability theory and JLSs theory, the sufficient conditions for finite-time boundedness and stabilisation of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.

Keywords:

• networked control systems
• packet dropout process
• finite-time stabilisation

Acknowledgements

This work was partly supported by University Science Foundation of Anhui Province No. KJ2012Z377.

Additional information

Notes on contributors

Yeguo Sun

Yeguo Sun was born in Anhui, China, in 1979. He received his BS degree from the Department of Mathematics and Computational Science, Fuyang Normal University, Fuyang, China, 2001, MS degree from the Department of Mathematics, Shanghai Normal University, Shanghai, China, 2007, and PhD degree from the Department of Control Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing, China, 2011. He is now an Associate Professor at the Department of Mathematics and Computational Science in Huainan Normal University. He has published several papers and some of them were indexed by SCI and EI. His current research interests include network control systems and finite-time control.