Journal
IEEE ACCESS
Volume 8, Issue -, Pages 2513-2523Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2019.2962076
Keywords
Time-delay; packet loss; observer; stabilization; networked control system; Lyapunov-Krasovskii functional
Categories
Funding
- National Natural Science Foundation of China [11705122, 61902268, 61603133, 61573136, 61573137]
- Fundamental Research Funds for the Central Universities, Jinan University [12819026]
- Hong Kong Research Grants Council [BRE/PolyU 152099/18E, PolyU 15204719/18E]
- Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) [CUGGC05]
- Natural Science Foundation of The Hong Kong Polytechnic University [G-YW3X]
- Zhejiang Natural Science Foundation of China [Y19F030001]
- Zhejiang Public Welfare Technology Research Project [LGG20F020010]
- Huzhou Public Welfare Application Research Project [2019GZ02]
- Sichuan Science and Technology Program [2019YFSY0045, 2018GZDZX0046, 2018JY0197]
- Key Research and Development Program of Shaanxi Province [2018ZDXM-GY-036]
- Open Foundation of Artificial Intelligence Key Laboratory of Sichuan Province [2018RZJ01]
- Nature Science Foundation of Sichuan University of Science and Engineering [2017RCL52]
- Zigong Science and Technology Program of China [2019YYJC03, 2019YYJC15]
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The stabilization problem for a class of discrete network control system with time-delay and packet loss in both S-C side and C-A side is researched in this paper. Firstly, two independent discrete Markov chains are used to describe the network time-delay from sensor to controller and the network time-delay from controller to actuator. Two random variables obeying the Bernoulli distribution are employed to describe the packet loss between the sensor and the controller and the packet loss between the controller and the actuator. Secondly, a mathematical model for closed-loop system is established. By constructing the appropriate Lyapunov-Krasovskii functional, the sufficient conditions for the existence of the controller and observer gain matrix are obtained under the condition that the transition probabilities of S-C time-delay and C-A time-delay are both partly unknown. Finally, two examples are exploited to illustrate the effectiveness of the proposed method.
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