http://iet.metastore.ingenta.com
1887

Observer-based event-triggered control co-design for linear systems

Observer-based event-triggered control co-design for linear systems

For access to this article, please select a purchase option:

Buy article PDF
$19.95
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IET Control Theory & Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The study deals with an observer-based event-triggered control strategy for linear systems using only local (i.e. available) variables. Sufficient conditions based on linear matrix inequalities associated to convex optimisation problems are proposed to ensure the asymptotic stability of the closed loop and the output convergence to a constant reference in both emulation and co-design contexts. Indeed, the proposed approach allows either to design the event-triggering rules or co-design the event-triggering rule along with the controller gain.

References

    1. 1)
      • 1. Postoyan, R., Girard, A.: ‘Triggering mechanism using freely selected sensors for linear time-invariant systems’. 54th Conf. on Decision and Control (CDC), Osaka, Japan, December 2015, pp. 48124817.
    2. 2)
      • 2. Postoyan, R., Tabuada, P., Nešić, D., et al: ‘A framework for the event-triggered stabilization of nonlinear systems’, IEEE Trans. Autom. Control, 2015, 60, (4), pp. 982996.
    3. 3)
      • 3. Tabuada, P.: ‘Event-triggered real-time scheduling of stabilizing control tasks’, IEEE Trans. Autom. Control, 2007, 52, (9), pp. 16801685.
    4. 4)
      • 4. Heemels, W.P.M.H., Johansson, K.H., Tabuada, P.: ‘An introduction to event-triggered and self-triggered control’. Proc. of the 51th IEEE Conf. on Decision and Control, Maui, Hawaii, December 2012, pp. 32703285.
    5. 5)
      • 5. Almeida, J., Silvestre, C., Pascoal, A.M.: ‘Observer based self-triggered control of linear plants with unknown disturbances’. American Control Conf., Montreal, Canada, June 2012, pp. 56885693.
    6. 6)
      • 6. Almeida, J., Silvestre, C., Pascoal, A.M.: ‘Observer based self-triggered control of an acyclic interconection linear plants’. Proc. of the 51th IEEE Conf. on Decision and Control, Maui, Hawaii, December 2012, pp. 75537558.
    7. 7)
      • 7. Lehmann, D., Lunze, J.: ‘Event-based output feedback control’. Proc. of the 19th IEEE Mediterranean Conf. on Control and Automation, Corfu, Greece, July 2011, pp. 982987.
    8. 8)
      • 8. Tallapragada, P., Chopra, N.: ‘Event-triggered dynamic output feedback control of LTI systems’. Proc. of the 51th IEEE Conf. on Decision and Control, Maui, Hawaii, December 2012, pp. 65976602.
    9. 9)
      • 9. Xia, Ch., Fei, H.: ‘Stability of event-triggered output-feedback control systems’. Proc. of the 30th Chinese Control Conf., Yantai, Shandong, 2011.
    10. 10)
      • 10. Xia, Ch., Fei, H.: ‘Observer based event-triggered control for certain and uncertain linear systems’, IMA J. Math. Control Inf., 30, (4), pp. 527542.
    11. 11)
      • 11. Wang, X., Lemmon, M.D.: ‘Event design in event-triggered feedback control systems’. 47th IEEE Conf. on Decision and Control, Cancun, Mexico, 2008, pp. 21052110.
    12. 12)
      • 12. Abdelrahim, M., Postoyan, R., Daafouz, J., et al: ‘Stabilization of nonlinear systems using event-triggered output feedback laws’. 21st Int. Symp. on Mathematical Theory of Networks and Systems, Groningen, The Netherlands, July 2014, pp. 274281.
    13. 13)
      • 13. Aström, K.J.: ‘Event based control’. in Astolfi, A., Marconi, L. (Eds) ‘Analysis and design of nonlinear systems’, Springer, 2008, pp. 127147.
    14. 14)
      • 14. Seuret, A., Prieur, C.: ‘Event-triggered sampling algorithms based on a Lyapunov function’. 50th IEEE Conf. on Decision and Control and European Control Conf. (CDC-ECC), Orlando, Florida, 2011, pp. 61286133.
    15. 15)
      • 15. Seuret, A., Prieur, C., Tarbouriech, S., et al: ‘Event-triggered sampling for linear closed-loop systems with plant input saturation’. Proc. of the 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS), Toulouse, France, August 2013, pp. 341346.
    16. 16)
      • 16. Heemels, W.P.M.H., Donkers, M.C.F., Teel, A.R.: ‘Periodic event-triggered control for linear systems’, IEEE Trans. Autom. Control, 2013, 58, (4), pp. 847861.
    17. 17)
      • 17. Abdelrahim, M., Postoyan, R., Daafouz, J., et al: ‘Co-design of output feedback laws and event-triggering conditions for linear systems’. 53rd IEEE Conf. on Decision and Control, Los Angeles, USA, 2014, pp. 35603565.
    18. 18)
      • 18. Antunes, D., Heemels, W.P.M.H., Tabuada, P.: ‘Dynamic programming formulation of periodic event-triggered control: Performance guarantees and co-design’. 51th IEEE Conf. on Decision and Control, Maui, USA, 2012, pp. 72127217.
    19. 19)
      • 19. Marchand, N., Martinez, J.J., Durand, S., et al: ‘Lyapunov event-triggered control: a new event strategy based on the control’. Proc. of the 9th IFAC Symp. on Nonlinear Control Systems, Toulouse, France, 2013.
    20. 20)
      • 20. Goebel, R., Sanfelice, R.G., Teel, A.R.: ‘Hybrid Dynamical Systems. Modeling, Stability and Robustness’ (Princeton University Press, 2012).
    21. 21)
      • 21. Sbarbaro, D., Tarbouriech, S., Gomes da Silva, J.M. Jr.: ‘An event-triggered observer based control strategy for siso systems’. Proc. of the 53th IEEE Conf. on Decision and Control, Los Angeles, USA, December 2014, pp. 27892794.
    22. 22)
      • 22. Donkers, M.C.F., Heemels, W.P.M.H.: ‘Output-based event-triggered control with guaranteed L-gain and improved and decentralised event-triggering’, IEEE Trans. Autom. Control, 2012, 57, (6), pp. 13621376.
    23. 23)
      • 23. Postoyan, R., Tabuada, P., Nesic, D., et al: ‘Event-triggered and self-triggered stabilization of distributed networked control systems’. 50th IEEE Conf. on Decision and Control and European Control Conf. (CDC-ECC), Orlando, USA, 2011, pp. 25652570.
    24. 24)
      • 24. Wang, X., Lemmon, M.D.: ‘Event-triggering in distributed networked control systems’, IEEE Trans. Autom. Control, 2011, 56, (3), pp. 586601.
    25. 25)
      • 25. Mazo, M., Anta, A., Tabuada, P.: ‘An ISS self-triggered implementation of linear controllers’, Automatica, 2010, 46, (8), pp. 13101314.
    26. 26)
      • 26. Young, P.C., Willems, J.C.: ‘An approach to the linear multivariable servomechanism problem’, Int. J. Control, 1972, 15, (5), pp. 961979.
    27. 27)
      • 27. Tallapragada, P., Chopra, N.: ‘On event triggered tracking for nonlinear systems’, IEEE Trans. Autom. Control, 2013, 58, (9), pp. 23432348.
    28. 28)
      • 28. Galvao, R.K.H., Yoneyama, T., de Araujo, F.M.U., et al: ‘A simple technique for identifying a linearized model for a didactic magnetic levitation system’, IEEE Trans. Education, 2003, 46, (1), pp. 2225.
    29. 29)
      • 29. Briat, C.: ‘Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints’, Automatica, 2013, 49, (11), pp. 34493457.
    30. 30)
      • 30. Briat, C.: ‘Convex conditions for robust stabilization of uncertain switched systems with guaranteed minimum and mode-dependent dwell-time’, Syst. Control Lett., 2015, 78, pp. 6372.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2016.0167
Loading

Related content

content/journals/10.1049/iet-cta.2016.0167
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address