Dissipative control for singular time-delay system with actuator saturation via state feedback and output feedback

ABSTRACT

This paper is devoted to the problem of dissipative control for a class of singular time-delay systems with actuator saturation via state feedback and output feedback. First, by tuning the Wirtinger-based integral and the double integral inequality, a sufficient condition is derived to guarantee that the singular time-delay system is regular, impulse free, asymptotically stable and strictly (Q,S,R)-dissipative. Then, based on the derived condition, and applying linear matrix inequality techniques, the dissipative state feedback and output feedback controller are synthesised. Moreover, the maximal estimate of the domain of attraction is proposed by an optimisation problem. Finally, some simulation examples are provided to verify the effectiveness of the obtained theoretic results.

KEYWORDS:

• Dissipative control
• singular time-delay systems
• actuator saturation
• linear matrix inequalities (LMIs)

Acknowledgements

This work was supported by the National Natural Science Foundation of China No. 61273004, and the Natural Science Foundation of Hebei province No. F2014203085. The authors would like to thank the editor and anonymous reviewers for their many helpful comments and suggestions to improve the quality of this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

National Natural Science Foundation of China [grant number 61273004]; Natural Science Foundation of Hebei Province [grant number F2014203085].

Notes on contributors

Lei Fu

Lei Fuis currently pursuing her PhD degree in the Institute of Electrical Engineering, Yanshan University, China. Her research interests include stability and control theory of the singular systems.

Yuechao Ma

Yuechao Mawas born in 1963. He received his PhD degree from Northeast University, Shenyang, China, in 2006. He is currently a full professor in the School of College of Science, Yanshan University, China. His current research interests include linear and nonlinear control, neural networks, robust control and timedelay system theory.