Applications to Mutli-Rate Control



A class of hybrid multi-rate control models with time-delay and switching controllers are formulated based on combined remote control and local control strategies. The problem of robust dissipative control for this discrete system is investigated. An improved Lyapunov–Krasovskii functional is constructed and the subsequent analysis provides some new sufficient conditions in the form of linear matrix inequalities (LMIs) for both nominal and uncertain representations. Several special cases of practical interests are derived. A numerical simulation example is given to illustrate the effectiveness of the theoretical result.


Linear Matrix Inequality Local Controller Remote Controller Switching Controller Fixed Sampling Interval 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 237.
    Mahmoud, M. S. and Abdulla Ismail, New Results on Delay-Dependent Control of Time-Delay Systems, IEEE Trans. Automat. Contr., vol. 50, 2005, pp. 95–100.CrossRefGoogle Scholar
  2. 416.
    Yang, S. H., X. Chen, L. Tan and L. Yang, Time-Delay and Data Loss Compensation for Internet-based Process Control Systems, Trans. Inst. Meas. Contr., vol. 27, 2005, pp. 103–108.CrossRefGoogle Scholar
  3. 236.
    Mahmoud, M. S. and Abdulla Ismail, Passivity Analysis and Synthesis of Discrete-Time Delay Systems, J. Dyn. Continuous, Disc. Impulsive Syst., Series A, vol. 11, no. 4, 2004, pp. 525–544.MATHGoogle Scholar
  4. 380.
    Wang, F. Y. and D. Liu, (Editors), Networked Control Systems: Theory and Applications, Springer, London, 2008.MATHGoogle Scholar
  5. 360.
    Srinivasagupta, D. and B. Joseph, Internet-mediated Process Control Laboratory, IEEE Contr. Syst. Mag., vol. 23, 2003, pp. 110–118.CrossRefGoogle Scholar
  6. 415.
    Yang, S. H., X. Chen and J. L. Alty, Design Issues and Implementation of Internet based Process Control Systems, Contr. Eng. Pract., vol. 11, 2003, pp. 709–720.CrossRefGoogle Scholar
  7. 430.
    Zhang W., M. S. Branicky and S. M. Phillips, Stability of Networked Control Systems, IEEE Contr. Syst. Mag., vol. 21, 2001, pp. 84–99.CrossRefGoogle Scholar
  8. 299.
    Montestruque, L. A. and P. J. Antsaklis, On the Model-based Control of Networked Systems, Automatica, vol. 39, 2003, pp. 1837–1843.MathSciNetMATHCrossRefGoogle Scholar
  9. 27.
    Boyd, S., L. El. Ghaoui, E. Feron and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, {SIAM Stud. Appl. Math}., Philadelphia, 1994.CrossRefGoogle Scholar
  10. 343.
    Seiler, P. and R. Sengupta, An \(\mathcal{H}_{\infty}\) Approach to Networked Control, IEEE Trans. Automat. Contr., vol. 50, 2005, pp. 356–364.MathSciNetCrossRefGoogle Scholar
  11. 203.
    Lozano, R., B. Brogliato, O. Egeland and B. Maschke, Dissipative Systems Analysis and Control: Theory and Applications, Springer, London, 2000.MATHGoogle Scholar
  12. 433.
    Zhang L., Y. Shi, T. Chen and B. Huang, A New Method for Stabilization of Networked Control Systems with Random Delays, IEEE Trans. Automat. Contr., vol. 50, 2005, pp. 1177–1181.MathSciNetCrossRefGoogle Scholar
  13. 139.
    Hill, D. J. and P. J. Moylan, Dissipative Dynamical Systems: Basic Input-Output and State Properties, J. Franklin Inst., vol. 309, 1980, pp. 327–357.MathSciNetMATHCrossRefGoogle Scholar
  14. 410.
    Yang, S. H. and C. Dai, Multi-Rate Control in Internet-based Control Systems, in Proceedings of UK Control, Sahinkaya, H., Edge, R. (Editors), Bath, UK, 2004, ID.053.Google Scholar
  15. 300.
    Montestruque, L. A. and P. J. Antsaklis, Stability of Model-based Networked Control Systems with Time-Varying Transmission Times. IEEE Trans. Automat. Contr., vol. 49, no. 9, pp. 1562–1573.Google Scholar
  16. 235.
    Mahmoud, M. S. and Abdulla Ismail, Role of Delay in Networked Control Systems, Proceedings of the 10th IEEE International Conference on Electronics, Circuits and Systems, University of Sharaja, UAE, December 15–17, 2003, pp. 40–43.Google Scholar
  17. 113.
    Han, K. H., S. Kim, Y. J. Kim and J. H. Kim, Internet Control Architecture for Internetbased Personal Robot, Autonomous Robots, vol. 10, 2001, pp. 135–147.MATHCrossRefGoogle Scholar
  18. 83.
    Gao, H., T. Chen and J. Lam, A New Delay System Approach to Network-based Control, Automatica, vol. 44, 2008, pp. 39–52.MathSciNetMATHCrossRefGoogle Scholar
  19. 315.
    Overstreet, J. W. and A. Tzes, An Internet-Based Real-Time Control Engineering Laboratory, IEEE Contr. Syst. Mag., vol. 19, 1999, pp. 320–326.CrossRefGoogle Scholar
  20. 308.
    Nesic, D. and A. R. Teel, Input-to-State Stability of Networked Control Systems, Automatica, vol. 40, 2004, pp. 2121–2128.MathSciNetMATHGoogle Scholar

Copyright information

© Springer US 2010

Authors and Affiliations

  1. 1.Department of Systems EngineeringKing Fahd University of Petroleum and Minerals (KFUPM)DhahranSaudi Arabia

Personalised recommendations