access icon openaccess Decentralised controller design for a class of interconnected systems

This is an open access article published by the IET under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/)
Received 26/11/2018, Accepted 04/12/2018, Published 21/01/2019

This study considers the decentralised controller design for interconnected systems. For the case that the interconnections satisfy certain matching conditions, a decentralised static controller is presented, which is designed in a separate way. On the basis of the presented controller, a relaxed sufficient condition is proposed, and the corresponding decentralised static controller is also given. Furthermore, the decentralised dynamic controller is designed for interconnected systems with two subsystems satisfying the relaxed sufficient condition. The efficiency of proposed controllers is demonstrated both theoretically and numerically.

Inspec keywords: interconnected systems; decentralised control; control system synthesis; nonlinear control systems; feedback

Other keywords: relaxed sufficient condition; interconnections; presented controller; interconnected systems; corresponding decentralised static controller; decentralised dynamic controller; matching conditions; decentralised controller design

Subjects: Stability in control theory; Multivariable control systems; Control system analysis and synthesis methods

References

    1. 1)
      • 7. Davison, E.J., Ozguner, U.: ‘Characterizations of decentralized fixed modes for interconnected systems’, Automatica, 1983, 19, pp. 169–182.
    2. 2)
      • 11. Duan, Z., Huang, L., Wang, L., et al: ‘Some applications of small gain theorem to interconnected systems’, Syst. Control Lett., 2004, 52, pp. 263–273.
    3. 3)
      • 5. Wang, S.H., Davison, E.: ‘On the stabilization of decentralized control systems’, IEEE Trans. Autom. Control, 1973, 18, pp. 473–478.
    4. 4)
      • 14. Duan, Z., Jiang, Z.-P., Huang, L.: ‘A new decentralised controller design method for a class of strongly interconnected systems’, Int. J. Control, 2017, 90, pp. 201–217.
    5. 5)
      • 9. Yang, G.H., Soh, Y.C., Wang, J.L.: ‘Decentralized control of symmetric systems’, Syst. Control Lett., 2001, 42, pp. 145–149.
    6. 6)
      • 8. Kashlan, A.E., Geneidy, M.E.: ‘Design of decentralized control for symmetrically interconnected systems’, Automatica, 1996, 32, pp. 475–476.
    7. 7)
      • 6. Sezer, M.E., Siljak, D.D.: ‘Structurally fixed modes’, Syst. Control Lett., 1981, 1, pp. 60–64.
    8. 8)
      • 1. Davison, E.: ‘The decentralized stabilization and control of a class of unknown non-linear time-varying systems’, Automatica, 1974, 10, pp. 309–316.
    9. 9)
      • 10. Zhai, G., Ikeda, M., Fujisaki, Y.: ‘Decentralized h1 controller design: a matrix inequality approach using a homotopy method’, Automatica, 2001, 37, pp. 565–572.
    10. 10)
      • 4. Jiang, Z.P.: ‘Decentralized control for large-scale nonlinear systems: a review of recent results’, Dyn. Continuous Discrete Impulsive Syst. B, Appl. Algorithm, 2004, 11, pp. 537–552.
    11. 11)
      • 2. Sezer, M., Huseyin, O.: ‘Stabilization of linear time-invariant interconnected systems using local state feedback’, IEEE Trans. Syst. Man Cybern., 1978, 8, pp. 751–756.
    12. 12)
      • 13. Crusius, C.A.R., Trofino, A.: ‘Sufficient LMI condition for output feedback control problems’, IEEE Trans. Autom. Control, 1999, 44, pp. 1053–1057.
    13. 13)
      • 15. Ding, Z.: ‘Global stabilization and disturbance suppression of a class of nonlinear systems with uncertain internal model’, Automatica, 2003, 39, pp. 471–479.
    14. 14)
      • 12. Georgiou, T.T., Megretski, A., Khammash, M.: ‘On a large-gain theorem’, Syst. Control Lett., 1997, 32, pp. 231–234.
    15. 15)
      • 3. Siljak, D.: ‘Decentralized control of complex systems’ (Academic Press, Boston, MA, USA, 1991).
http://iet.metastore.ingenta.com/content/journals/10.1049/joe.2018.9388
Loading

Related content

content/journals/10.1049/joe.2018.9388
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading