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Stabilization Criterion Based on New Lyapunov Functional Candidate for Networked Control Systems

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Book cover Life System Modeling and Intelligent Computing (ICSEE 2010, LSMS 2010)

Abstract

The issue of stability criterion based on new Lyapunov functional candidate for networked control systems (NCSs) is researched, where its network transmission is connected with network-induced delay both sensor-to-controller and controller-to-actuator. The complete mathematical model of NCSs is given. The sufficient condition for asymptotical stability is derived, and the criteria of delay-dependent asymptotical stability for systems are analyzed by using new Lyapunov functional candidate and free-weighting matrices techniques. The merit of the proposed design methods lies in their less conservativeness.

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References

  1. Hespanha, J.P., Naghshtabrizi, P., Xu, Y.G.: A Survey of Recent Results in Networked Control Systems. Proceedings of IEEE 95, 138–162 (2007)

    Article  Google Scholar 

  2. Gao, H., Meng, X., Chen, T.: Stabilization of Networked Control Systems with a New Delay Characterization. IEEE Transactions on Automatic Control 53, 2142–2148 (2008)

    Article  MathSciNet  Google Scholar 

  3. Yang, T.C.: Networked control system: a brief survey. IEEE Proceedings of Control Theory Applications 153, 403–412 (2006)

    Article  Google Scholar 

  4. Wei, L.S., Fei, M.R., Hu, H.S.: Modeling and stability analysis of grey–fuzzy predictive control. Neurocomputing 72, 197–202 (2008)

    Article  Google Scholar 

  5. Li, H.B., Chow, M.Y., Sun, Z.Q.: Optimal Stabilizing Gain Selection for Networked Control Systems With Time Delays and Packet Losses. IEEE Transactions on Control Systems Technology 17, 1154–1162 (2009)

    Article  Google Scholar 

  6. Dritsas, L., Tzes, A.: Robust stability bounds for networked controlled systems with unknown, bounded and varying delays. IET Control Theory Application 3, 270–280 (2009)

    Article  MathSciNet  Google Scholar 

  7. Huang, J., Guan, Z.H., Wang, Z.D.: Robust stabilization of uncertain networked control systems with data packet dropouts. Acta Automatica Sinica 31, 440–445 (2005)

    Google Scholar 

  8. Luo, D.S., Wang, Z.W., Guo, G.: Modeling and Stability Analysis of MIMO Networked Control Systems. In: Proceedings of the 27th Chinese Control Conference, Kunming, Yunnan, China, July16-18, pp. 240–242 (2008)

    Google Scholar 

  9. Liu, F.C., Yao, Y., He, F.H., Chen, S.L.: Stability analysis of networked control systems with time-varying sampling periods. Journal of Control Theory and Applications 6, 22–25 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  10. Yue, D., Han, Q.L., Peng, C.: State feedback controller design of networked control systems. J. IEEE Trans. on Circuits and Systems-II 51, 640–644 (2004)

    Article  Google Scholar 

  11. Peng, C., Yue, D., Tian, E.G., Gu, Z.: A delay distribution based stability analysis and synthesis approach for networked control systems. Journal of the Franklin Institute 346, 349–365 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  12. Yu, L.: Robust Control- Linear Matrix Inequalities. Press of Qinghua University, Beijing (2002)

    Google Scholar 

  13. He, Y., Wang, Q.G., Xie, L.H., Lin, C.: Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay. IEEE Trancactions on Automatic Control 52, 293–299 (2007)

    Article  MathSciNet  Google Scholar 

  14. Wu, M., He, Y., She, J.H.: New delay-dependent robust stability criteria for uncertain neutral systems. IEEE Transactions on Automatic Control 49, 2266–2271 (2004)

    Article  MathSciNet  Google Scholar 

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chen, Q., wei, L., jiang, M., fei, M. (2010). Stabilization Criterion Based on New Lyapunov Functional Candidate for Networked Control Systems. In: Li, K., Fei, M., Jia, L., Irwin, G.W. (eds) Life System Modeling and Intelligent Computing. ICSEE LSMS 2010 2010. Lecture Notes in Computer Science, vol 6328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15621-2_11

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  • DOI: https://doi.org/10.1007/978-3-642-15621-2_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15620-5

  • Online ISBN: 978-3-642-15621-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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