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Reliable Event-Triggered Retarded Dynamic Output Feedback \(\mathscr {H}_{\infty }\) Control for Networked Systems

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Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 170))

Abstract

This chapter focuses on the problem of reliable event-triggered \(\mathscr {H}_{\infty }\) control for networked control systems by using retarded dynamic output feedback. The randomness of actuators failures is modeled by a stochastic variable in a Markov jump model framework. In this paper, a Markov jump event-triggered retarded dynamic output feedback \(\mathscr {H}_{\infty }\) controller is designed to guarantee the considered closed-loop system is stochastically stable with a prescribed \(\mathscr {H}_{\infty }\) performance level. According to the stochastic analysis techniques and novel integral inequalities, some sufficient conditions for the solvability of the addressed problem are derived. Finally, an example using a satellite control system model is provided to explain the validity of the proposed method.

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References

  1. Antsaklis P, Baillieul J (2004) Guest editorial special issue on networked control systems. IEEE Trans Autom Control 49:1421–1423

    Article  MathSciNet  Google Scholar 

  2. Gao H, Chen T, Lam J (2008) A new delay system approach to network-based control. Automatica 44:39–52

    Article  MathSciNet  Google Scholar 

  3. Li JM, Zhang WY, Chen ML (2013) Synchronization of delayed reaction-diffusion neural networks via an adaptive learning control approach. Comput Math Appl 65:1775–1785

    Article  MathSciNet  Google Scholar 

  4. Quevedo DE, Silva EI, Goodwin GC (2009) Subband coding for networked control systems. Int J Robust Nonlinear Control 19:1817–1836

    Article  MathSciNet  Google Scholar 

  5. Sakthivel R, Vadivel P, Mathiyalagan K, Arunkumar A, Sivachitra M (2015) Design of state estimator for bidirectional associative memory neural networks with leakage delays. Inf Sci 296:263–274

    Article  MathSciNet  Google Scholar 

  6. Shen H, Zhu Y, Zhang L, Park JH (2017) Extended dissipative state estimation for Markov jump neural networks with unreliable links. IEEE Trans Neural Netw Learn Syst 28(2):346–358

    Google Scholar 

  7. Yang H, Xia Y, Shi P (2011) Stabilization of networked control systems with nonuniform random sampling periods. Int J Robust Nonlinear Control 21:501–526

    Article  MathSciNet  Google Scholar 

  8. Yang R, Shi P, Liu G (2011) Filtering for discrete-time networked nonlinear systems with mixed random delays and packet dropouts. IEEE Trans Autom Control 56:2655–2660

    Article  MathSciNet  Google Scholar 

  9. Zhang LX, Zhu YZ, Ning ZP, Yin XY (2016) Resilient estimation for networked systems with variable communication capability. IEEE Trans Autom Control 61:4150–4156

    Article  MathSciNet  Google Scholar 

  10. Zhang WA, Chen B, Chen MZQ (2016) Hierarchical fusion estimation for clustered asynchronous sensor networks. IEEE Trans Autom Control 61:3064–3069

    Article  MathSciNet  Google Scholar 

  11. Zhang WA, Yu L, Feng G (2015) Stabilization of linear discrete-time networked control systems via protocol and controller co-design. Int J Robust Nonlinear Control 25:3072–3085

    Article  MathSciNet  Google Scholar 

  12. Zhang WY, Li JM, Ding CY, Xing KY (2017) \(p\)th moment exponential stability of hybrid delayed reaction-diffusion Cohen-Grossberg neural networks. Neural Process Lett 46:83–111

    Article  Google Scholar 

  13. Zhang WY, Li JM, Xing KY, Ding CY (2016) Synchronization for distributed parameter NNs with mixed delays via sampled-data control. Neurocomputing 175:265–277

    Article  Google Scholar 

  14. Zhang WY, Xing KY, Li JM, Chen ML (2015) Adaptive synchronization of delayed reaction-diffusion FCNNs via learning control approach. J Intell Fuzzy Syst 28:141–150

    MathSciNet  MATH  Google Scholar 

  15. Hu S, Yue D (2012) Event-triggered control design of linear networked systems with quantizations. ISA Trans 51:153–162

    Article  Google Scholar 

  16. Sahoo A, Xu H, Jagannathan S (2013) Neural network-based adaptive event-triggered control of affine nonlinear discrete time systems with unknown internal dynamics. Am Control Conf 6418–6423

    Google Scholar 

  17. Yue D, Tian E, Han QL (2013) A delay system method for designing event-triggered controllers of networked control systems. IEEE Trans Autom Control 58:475–481

    Article  MathSciNet  Google Scholar 

  18. Karimi HR, Gao H (2009) LMI-based \(\mathscr {H}_{\infty }\) synchronization of second-order neutral master-slave systems using delayed output feedback control. Int J Control, Autom Syst 7:371–380

    Google Scholar 

  19. Shen H, Wu ZG, Park JH (2014) Finite-time energy-to-peak filtering for Markov jump repeated scalar non-linear systems with packet dropouts. IET Control Theory Appl 8:1617–1624

    Article  MathSciNet  Google Scholar 

  20. Wu Z, Shi P, Su H, Chu J (2014) Asynchronous \(l_{2}\)-\(l_{\infty }\) filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities. Automatica 50:180–186

    Article  MathSciNet  Google Scholar 

  21. Yang H, Jiang B, Cocquempot V (2010) Fault tolerant control and hybrid systems Springer

    Google Scholar 

  22. Zhuang G, Xia J, Chu Y, Chen F (2014) \(\mathscr {H}_{\infty }\) mode-dependent fault detection filter design for stochastic Markovian jump systems with time-varying delays and parameter uncertainties. ISA Trans 53:1024–1034

    Google Scholar 

  23. Yang Y, Yang GH, Soh YC (2000) Reliable control of discrete-time systems with actuator failure. IEE Proc: Control Theory Appl 147:428–432

    Google Scholar 

  24. Zhang XM, Han QL (2014) Event-triggered dynamic output feedback control for networked control systems. IET Control Theory Appl 8:226–234

    Article  MathSciNet  Google Scholar 

  25. Yu H, Antsaklis PJ (2013) Event-triggered output feedback control for networked control systems using passivity: Achieving \(\mathscr {L}_{2}\) stability in the presence of communication delays and signal quantization. Automatica 49:30–38

    Google Scholar 

  26. Shi P, Boukas EK, Agarwal RK (1999) Kalman filtering for continuous-time uncertain systems with Markovian jumping parameters. IEEE Trans Autom Control 44:1592–1597

    Article  MathSciNet  Google Scholar 

  27. Biernacki RM, Hwang H, Bhattacharyya S (1987) Robust stability with structured real parameter perturbations. IEEE Trans Autom Control 32:495–506

    Article  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Yeungnam University, Kyongsan, Korea (Republic of)

    Ju H. Park

  2. School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan, China

    Hao Shen

  3. School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan, China

    Xiao-Heng Chang

  4. Division of Electronic Engineering, Chonbuk National University, Jeonju, Korea (Republic of)

    Tae H. Lee

Authors
  1. Ju H. Park
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  2. Hao Shen
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  3. Xiao-Heng Chang
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  4. Tae H. Lee
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Corresponding author

Correspondence to Ju H. Park .

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Park, J.H., Shen, H., Chang, XH., Lee, T.H. (2019). Reliable Event-Triggered Retarded Dynamic Output Feedback \(\mathscr {H}_{\infty }\) Control for Networked Systems. In: Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals. Studies in Systems, Decision and Control, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-319-96202-3_5

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