access icon free Global stabilisation of a class of feedforward systems with distributed delays

In this study, both state feedback control and output feedback control design schemes are considered for a class of feedforward non-linear systems with distributed delays. First, by using the state transformation of non-linear systems, the problem of designing controller can be converted into that of designing a dynamic parameter, which is dynamically regulated by a dynamic equation. Then, the dynamic equation is delicately constructed by appraising the non-linear terms of the given systems. At last, with the help of Lyapunov stability theorem, it is provided the stability analysis for the closed-loop system consisting of the designed controller and the given systems. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.

Inspec keywords: nonlinear control systems; control system synthesis; stability; feedforward; state feedback; distributed control; delay systems; closed loop systems; Lyapunov methods

Other keywords: state feedback control; stability analysis; global stabilisation; dynamic equation; output feedback control design schemes; controller design problem; dynamic parameter; closed-loop system; distributed delays; feedforward nonlinear systems; state transformation; Lyapunov stability theorem

Subjects: Control system analysis and synthesis methods; Stability in control theory; Nonlinear control systems; Distributed parameter control systems

References

    1. 1)
    2. 2)
    3. 3)
    4. 4)
      • 1. Sepulchre, R., Jankovic, M., Kokotovic, P.: ‘Constructive nonlinear control’ (Springer-Verlag, London, 1997).
    5. 5)
    6. 6)
    7. 7)
    8. 8)
      • 17. Aggoune, W., Busawon, K.: ‘A remark on stabilization of nonlinear systems with discrete and distributed delays’, Proc. Eighth IFAC Symp. on Nonlinear Control Systems, NOLCOS, Bologna, Italy, September 2010, pp. 493498.
    9. 9)
    10. 10)
    11. 11)
    12. 12)
      • 22. Vrabie, I.I.: ‘Differential equations: an introduction to basic concepts, results, and applications’ (World Scientific, Singapore, 2011).
    13. 13)
    14. 14)
    15. 15)
    16. 16)
    17. 17)
      • 15. Aggoune, W., Busawon, K.: ‘On feedback stabilization of a class of stochastic nonlinear systems with delays’, Proc. Amer. Contr. Conf., San Francisco, CA, USA, June–July 2011, pp. 42254230.
    18. 18)
    19. 19)
      • 2. Isidori, A.: ‘Nonlinear control systems II’ (Springer-Verlag, London, 1999).
    20. 20)
    21. 21)
    22. 22)
    23. 23)
    24. 24)
    25. 25)
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2014.0362
Loading

Related content

content/journals/10.1049/iet-cta.2014.0362
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading