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Peer-to-Peer Networking and Applications
Published in: Peer-to-Peer Networking and Applications 3/2019

17-08-2018

Hybrid-triggered state feedback H∞ control for networked control systems with stochastic nonlinearity and quantization

Authors: Yushun Tan, Menghui Xiong, Dongsheng Du, Shumin Fei

Published in: Peer-to-Peer Networking and Applications | Issue 3/2019

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Abstract

This paper is concerned with the state feedback H∞ control problem for hybrid-triggered networked control systems (NCSs) with stochastic nonlinearity and state quantization. In order to establish a higher utilization of the network resources, a hybrid-triggered transmission scheme (HTTS) and measurement size reduction scheme are introduced. Firstly, the HTTS is presented such that the signal can be transmitted according to the law. Then the measurement size reduction scheme, i.e., the logarithmic quantization is applied. Then, considering the effect of HTTS and quantization, the original NCSs model is reformulated as a new hybrid-triggered NCSs with communication delay. By using Lyapunov functional method and linear matrix inequality technique, sufficient conditions for stochastical stability with a prescribed H∞ performance level are established, and the design of controller and trigger parameters can be obtained. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.
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Literature
1.
Costa J, Leao CP, Soares FO, Machado J (2010) Industrial network platform for monitoring and control of automated manufacturing systems. IFAC Proc Vol 43(4):168–173CrossRef
2.
Pham CV, Wang YN (2015) Robust adaptive trajectory tracking sliding mode control based on neural networks for cleaning and detecting robot manipulators. J Intell Robot Syst 79(1):101–114CrossRef
3.
Duan X, Zhao C, He S, Cheng P, Zhang J (2017) Distributed algorithms to compute Walrasian equilibrium in mobile crowdsensing. IEEE Trans Ind Electron 64(5):4048–4057CrossRef
4.
Yang G, He S, Shi Z, Chen J (2017) Promoting cooperation by the social incentive mechanism in mobile crowdsensing. IEEE Commun Mag 55(3):86–92CrossRef
5.
Yang H, Shi P, Zhang J, Qiu J (2012) Robust H ∞ control for a class of discrete time fuzzy systems via delta operator approach. Inf Sci Int J 184(1):230–245MathSciNetMATH
6.
Zhang W, Chen B (2006) State feedback H ∞ control for a class of nonlinear stochastic systems. Siam J Control Optim 44(6):1973–1991MathSciNetMATHCrossRef
7.
Kau S, Lee H, Yang C, Lee C, Hong L, Fang C (2007) Robust H ∞ fuzzy static output feedback control of T-S fuzzy systems with parametric uncertainties. Fuzzy Set Syst 158 (2):135–146MathSciNetMATHCrossRef
8.
Cloosterman MM, Wouw VDNN, Heemels WPMH, Nijmeijer HH (2009) Stability of networked control systems with uncertain time-varying delays. IEEE Trans Autom Control 54(7):1575– 1580MathSciNetMATHCrossRef
9.
Hespanha JP, Naghshtabrizi P, Xu Y (2007) A survey of recent results in networked control systems. Proc IEEE 95(1):138–162CrossRef
10.
Peng C, Tian Y, Yue D (2011) Output feedback control of discrete-time systems in networked environments. IEEE Trans Syst Man Cybern-Part Syst Humans 41(1):185–190CrossRef
11.
Li H, Yang H, Sun F, Xia Y (2014) Sliding-mode predictive control of networked control systems under a multiple-packet transmission policy. IEEE Trans Ind Electron 61(11):6234– 6243CrossRef
12.
Selivanov A, Fridman E (2016) Observer-based input-to-state stabilization of networked control systems with large uncertain delays. Automatica 74:63–70MathSciNetMATHCrossRef
13.
Rasool F, Huang D, Nguang SK (2011) Robust H ∞ output feedback control of discrete-time networked systems with limited information. Syst Control Lett 60 (10):845–853MathSciNetMATHCrossRef
14.
15.
Tan C, Li L, Zhang H (2015) Stabilization of networked control systems with both network-induced delay and packet dropout. Automatica 59:194–199MathSciNetMATHCrossRef
16.
Su L, Chesi G (2017) Robust stability analysis and synthesis for uncertain discrete-time networked control systems over fading channels. IEEE Trans Autom Control 62(4):1966–1971MathSciNetMATHCrossRef
17.
Zhang H, Zhang Z, Wang Z, Shan Q (2016) New results on stability and stabilization of networked control systems with short time-varying delay. IEEE Trans Syst Man Cybern 46(12):2772–2781
18.
Yang G, He S, Shi Z (2017) Leveraging crowdsourcing for efficient malicious users detection in large-scale social networks. IEEE Internet Things J 4(2):330–339CrossRef
19.
Zhang H, Qi Y, Zhou H, Zhang J, Sun J (2017) Testing and defending methods against dos attack in state estimation. Asian J Control 19(4):1295–1305MathSciNetMATHCrossRef
20.
21.
Zhai G, Chen N, Gui W (2010) Quantizer design for interconnected feedback control systems. Control Theory Technol 8(1):93–98MathSciNetCrossRef
22.
Zhang C, Feng G, Gao H, Qiu J (2011) H ∞ filtering for nonlinear discrete-time systems subject to quantization and packet dropouts. IEEE Trans Fuzzy Syst 19(2):353–365CrossRef
23.
Lu R, Wu H, Bai J (2014) Networked H ∞ filtering for T-S fuzzy systems with quantization and data dropouts. J Franklin Inst 351(6):3126–3144MathSciNetMATHCrossRef
24.
25.
Shi Y, Fang H (2010) Kalman filter-based identification for systems with randomly missing measurements in a network environment. Int J Control 83(3):538–551MathSciNetMATHCrossRef
26.
27.
Lemmon M (2010) Event-triggered feedback in control, estimation, and optimization. Lect Notes Control Inf Sci 406:293– 358MathSciNetMATH
28.
Yan H, Yan S, Zhang H, Shi H (2014) Event-triggered control for networked control systems with time-varying delay. Math Probl Eng 2014:1–7MathSciNetMATH
29.
Li H, Shi Y (2014) Event-triggered robust model predictive control of continuous-time nonlinear systems. Automatica 50(5):1507–1513MathSciNetMATHCrossRef
30.
Vamvoudakis KG, Mojoodi A, Ferraz H (2017) Event-triggered optimal tracking control of nonlinear systems. Int J Robust Nonlinear Control 27(4):598–619MathSciNetMATHCrossRef
31.
32.
Hu S, Yue D (2012) Event-triggered control design of linear networked systems with quantizations. ISA Trans 51(1):153–162CrossRef
33.
Yue D, Tian E, Han Q (2013) A delay system method for designing event-triggered controllers of networked control systems. IEEE Trans Autom Control 58(2):475–481MathSciNetMATHCrossRef
34.
Li H, Chen Z, Wu L, Lam H, Du H (2017) Event-triggered fault detection of nonlinear networked systems. IEEE Trans Syst Man Cybern 47(4):1041–1052
35.
Zhang D, Wang QG, Srinivasan D, Li H, Li Y (2018) Asynchronous state estimation for discrete-time switched complex networks with communication constraints. IEEE Trans Neural Netw Learn Syst 29(5):1732–1746MathSciNetCrossRef
36.
Zhang D, Xu Z, Karimi HR, Wang QG, Yu L (2018) Distributed H ∞ output-feedback control for consensus of heterogeneous linear multi-agent systems with aperiodic sampled-data communications. IEEE Trans Ind Electron 65(6):4145– 4155CrossRef
37.
Liu J, Zha L, Cao J, Fei S (2016) Hybrid-driven-based stabilisation for networked control systems. IET Control Theory Appl 10(17):2279–2285MathSciNetCrossRef
38.
Zha L, Fang JA, Liu J, Tian E (2017) Reliable control for hybrid-driven T-S fuzzy systems with actuator faults and probabilistic nonlinear perturbations. J Franklin Inst 354(8):3267–3288MathSciNetMATHCrossRef
39.
Xu W, Yu H, Lu D, Liu F, Liu Z (2018) A novel data reuse method to reduce demand on memory bandwidth and power consumption for true motion estimation. IEEE Access 6:2279–2285CrossRef
40.
Guo P, Zhang H, Alsaadi FE, Hayat T (2017) Semi-tensor product method to a class of event-triggered control for finite evolutionary networked games. IET Control Theory Appl 11(13):2140–2145MathSciNetCrossRef
41.
Tian E, Yue D (2015) Decentralized control of network-based interconnected systems: a state-dependent triggering method. Int J Robust Nonlinear Control 25(8):1126–1144MathSciNetMATHCrossRef
42.
Wang X, Lemmon MD (2009) Self-triggered feedback control systems with finite-gain \(\mathcal {L}_{2}\) stability. IEEE Trans Autom Control 54(3):452–467MathSciNetMATHCrossRef
43.
Liu J, Yue D (2013) Event-triggering in networked systems with probabilistic sensor and actuator faults. Inform Sci 240(10):145–160MathSciNetMATHCrossRef
44.
45.
Mao X (1996) Robustness of exponential stability of stochastic differential delay equations. IEEE Trans Autom Control 41(3):442–447MathSciNetMATHCrossRef
46.
Peng C, Tian Y (2008) Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay. J Comput Appl Math 214(2):480–494MathSciNetMATHCrossRef
47.
Huang H, Ho DWC (2007) Delay-dependent robust control of uncertain stochastic fuzzy systems with time-varying delay. IET Control Theory Appl 1(4):1075–1085MathSciNetCrossRef
48.
Cao YY, Sun YX, Lam J (1998) Delay-dependent robust H ∞ control for uncertain systems with time-varying delays. IEE Proc-Control Theory Appl 145(3):338–344CrossRef
49.
Yue D, Tian E, Zhang Y, Peng C (2009) Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay. IEEE Trans Syst Man Cybern 39(2):503–516CrossRef
50.
Ge X, Han Q (2015) Distributed event-triggered H ∞ filtering over sensor networks with communication delays. Inform Sci 291:128–142MathSciNetMATHCrossRef
Metadata
Title
Hybrid-triggered state feedback H∞ control for networked control systems with stochastic nonlinearity and quantization
Authors
Yushun Tan
Menghui Xiong
Dongsheng Du
Shumin Fei
Publication date
17-08-2018
Publisher
Springer US
Published in
Peer-to-Peer Networking and Applications / Issue 3/2019
Print ISSN: 1936-6442
Electronic ISSN: 1936-6450
DOI
https://doi.org/10.1007/s12083-018-0671-z

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