title: Quantized stabilization of wireless networked control systems with packet losses.
abstract: This paper considers stabilization of discrete-time linear systems, where wireless networks exist for transmitting the sensor and controller information. Based on Markov jump systems, we show that the coarsest quantizer that stabilizes the WNCS is logarithmic in the sense of mean square quadratic stability and the stabilization of this system can be transformed into the robust stabilization of an equivalent uncertain system. Moreover, a method of optimal quantizer/controller design in terms of linear matrix inequality is presented. Finally, a numerical example is provided to illustrate the effectiveness of the developed theoretical results.
authors.affiliation: College of Automation, Huazhong University of Science and Technology, Wuhan 430074, PR China; College of Science, Wuhan University of Science and Technology, Wuhan 430065, PR China.
authors.forename: Feng-Lin
authors.initials: FL
authors.lastname: Qu
authors.affiliation: College of Automation, Huazhong University of Science and Technology, Wuhan 430074, PR China; Key Laboratory of Image Information Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, Wuhan 430074, PR China. Electronic address: hubinauto@mail.hust.edu.cn.
authors.forename: Bin
authors.initials: B
authors.lastname: Hu
authors.affiliation: College of Automation, Huazhong University of Science and Technology, Wuhan 430074, PR China; Key Laboratory of Image Information Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, Wuhan 430074, PR China. Electronic address: zhguan@mail.hust.edu.cn.
authors.forename: Zhi-Hong
authors.initials: ZH
authors.lastname: Guan
authors.affiliation: School of Science, Wuhan University of Technology, Wuhan 430070, PR China.
authors.forename: Yong-Hong
authors.initials: YH
authors.lastname: Wu
authors.affiliation: College of Automation, Huazhong University of Science and Technology, Wuhan 430074, PR China.
authors.forename: Ding-Xin
authors.initials: DX
authors.lastname: He
authors.affiliation: College of Automation, Huazhong University of Science and Technology, Wuhan 430074, PR China.
authors.forename: Ding-Fu
authors.initials: DF
authors.lastname: Zheng
keywords: Mean square quadratic stability; Packet losses; Quantized stabilization; Wireless networked control systems (WNCSs)