Multirate parallel distributed compensation of a cluster in wireless sensor and actor networks

Abstract

The stabilisation problem for one of the clusters with bounded multiple random time delays and packet dropouts in wireless sensor and actor networks is investigated in this paper. A new multirate switching model is constructed to describe the feature of this single input multiple output linear system. According to the difficulty of controller design under multi-constraints in multirate switching model, this model can be converted to a Takagi–Sugeno fuzzy model. By designing a multirate parallel distributed compensation, a sufficient condition is established to ensure this closed-loop fuzzy control system to be globally exponentially stable. The solution of the multirate parallel distributed compensation gains can be obtained by solving an auxiliary convex optimisation problem. Finally, two numerical examples are given to show, compared with solving switching controller, multirate parallel distributed compensation can be obtained easily. Furthermore, it has stronger robust stability than arbitrary switching controller and single-rate parallel distributed compensation under the same conditions.

Keywords:

• parallel distributed compensation (PDC)
• fuzzy control
• wireless senor and actor networks (WSANs)
• stability
• multirate

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was supported by the National Natural Science Foundation of China [grant number 61004033], [grant number 61364002], [grant number 61273026]; the Department of Education Foundation of Yunnan Province, China [grant number 2013Z128].

Notes on contributors

Chun-xi Yang

Chun-xi Yang is an associate professor in the Faculty of Chemical Engineering, Kunming University of Science and Technology. He received his BE degree in automatic control from Qingdao University of Science and Technology, Qingdao, China, in 1999, ME degree from Wuhan Institute of Technology, Wuhan, China, in 2005, and PhD degree from Huazhong University of Science and Technology, Wuhan, China, in 2009. His main research interests are in the areas of robust control, networked control systems, and wireless sensor and actor networks.

Ling-yun Huang

Ling-yun Huang received her BE degree from Shengyang University of Science and Technology, Shengyang, China, in 1998, and ME degree from Wuhan Institute of Technology, Wuhan, China, in 2008. Her main research interests include networked control systems and wireless sensor networks.

Hao Zhang

Hao Zhang is an associate professor in the Department of Control Science and Technology, Tongji University. She received her BE degree in automatic control from Wuhan University of Technology, Wuhan, China, in 2001, and PhD degree from Huazhong University of Science and Technology, Wuhan, China, in 2007. Her main research interests include complex networks, networked control systems and stochastic systems.

Wang Hua

Hua wang is a professor in the Engineering Research Center of Metallurgical Energy Conservation and Emission Reduction, Ministry of Education, Kunming University of Science and Technology. He received his BE degree in thermal engineering from the Northeast University, Shengyang, China, in 1987, and received his ME degree and PhD degree from Kunming University of Science and Technology, Kunming, China, in 1990 and 1996, respectively. His main research interests include fault diagnosis, thermal engineering and wireless sensor networks.