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.

The two-mode-dependent controller design problem for networked Markov system with timedelay in both S/C link and C/A link is investigated in this paper. Two independent Markov chains are used to describe the time-delay in S/C link and C/A link. A two-mode-dependent state feedback controller is proposed that depends on both the S/C time-delay and the mode of the Markov controlled plant. The sufficient conditions on the stochastic stability of the closed-loop system are established. The design method of the controller is also proposed on condition that the transition probability matrices of S/C time-delay and mode of the controlled plant are completely known and partly unknown respectively. A numerical example is exploited to illustrate the effectiveness and superiority of the proposed method.

The H ∞ control problem for networked control system with data packet dropout in both S-C link and C-A link via observer-based controller is researched in this paper. Firstly, the networked control system with data packet dropout in both S-C link and C-A link is modeled as a discrete Markov jump linear system. Secondly, the sufficient and necessary conditions on the stochastic stability of the closed-loop system is established, the solution method of the controller and observer gain matrix are also given on condition that the transition probability matrix is completely known and partly unknown, respectively. The minimal disturbance suppression performance index is also obtained. Finally, two simulation examples illustrate the validity of the proposed method. INDEX TERMS Markov jump system, data packet dropout, observer, stochastic stability, closed-loop system. WEI WEI (Senior Member, IEEE) received the M.S. and Ph.D. degrees from Xi'an Jiaotong University, Xi'an, China, in 2005 and 2011, respectively. He is currently an Associate Professor with the School of Computer Science and Engineering, Xi'an University of Technology, Xi'an. He ran many funded research projects as a Principal Investigator and a Technical Member. He has published around 100 research articles in international conferences and journals. His current research interests include the area of wireless networks, wireless sensor networks, image processing, mobile computing, distributed computing, and pervasive computing, the Internet of Things, and sensor data clouds. He is a Senior Member of the China Computer Federation (CCF). He is an Editorial Board Member of Future Generation Computer System,

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This study researches the H ∞ control issue for a networked Markovian jump system with data packet loss occurring not only in the channel from sensor to controller but also in the channel from controller to actuator via an observer. The mathematical model for the closed-loop networked Markovian jump system with data packet loss is established. The necessary and sufficient conditions for the closed-loop system to be stochastically stable are derived. The design approach of the controller and the minimal performance index of the external disturbance suppression are also given in the case that the transition possibilities of the system modes and the data packet loss are both partially unavailable. Finally, two numerical examples are used to illustrate the effectiveness of the proposed method. K E Y W O R D Sdata packet loss, Markovian jump system, networked control system, observer | INTRODUCTIONAs the networked control system (NCS) has the advantages of easy installation and maintenance, as well as convenient expansion, the application range of the NCS has become more and more extensive, including the fields of industrial systems, aerospace, robot manufacturing, remote sensing technology and so on [1][2][3][4]. Coupled with the increasing development of information technology, the NCS will be used in more fields in the future [5][6][7][8]. However, data packet loss and time-delay induced by the network would make the system's performance degrade and may even lead to instability, and these are two basic issues of the NCS [9][10][11][12][13].The research of data packet loss is a significant direction of NCS research, which has attracted considerable attention. For the current research study, there are mainly two approaches to deal with the problem of data packet loss. The first approach is to use a Bernoulli probability distribution sequence to describe the data packet loss as a random variable, which takes a value from f0; 1g [14][15][16][17]. The stability of the NCS whose communication channel was influenced by data packet loss was discussed [14], and a Bernoulli variable was used to model the data packet loss. Sliding mode control based on the observer for the NCS with quantisation was taken into consideration [15], in which data packet loss occurred when the measurement output was transmitted, and a compensating scheme was put forward to cope with influences of modelled data packet loss, which was treated as a Bernoulli process. A novel H ∞ approach for the NCS with multiple data packet losses was studied [16], and a control system containing two Bernoulli variables was applied to model the NCS, which contained not only measurement data packet loss but also control data packet loss. The problem of linear quadratic Gaussian control for the NCS with data packet loss was discussed [17], where dataThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.