Event-triggered constant reference tracking control for discrete-time LPV systems with application to a laboratory tank system

Event-triggered constant reference tracking control for discrete-time LPV systems with application to a laboratory tank system

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

Buy article PDF
(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
Your details
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.

This study develops a novel event-triggered control design methodology for discrete-time dynamic systems characterised by linear parameter-varying (LPV) models. To this end, an event-triggering mechanism is first introduced for LPV systems aiming at reducing the data transmission of states, scheduling variables and controller outputs, i.e. at both the sensor and the controller nodes. Then, an event-based LPV state feedback controller is proposed to achieve a reference tracking objective. Sufficient conditions for simultaneous design of the controller parameters and event-triggering conditions are provided in terms of linear matrix inequality conditions to guarantee the stability of the closed-loop system and to track a desired step reference signal. The experimental results are finally presented to demonstrate and validate the properties and performance of the proposed control design approach on a laboratory tank system.


    1. 1)
      • 1. Hajshirmohamadi, S., Davoodi, M., Meskin, N., et al: ‘Event-triggered fault detection and isolation for discrete-time linear systems’, IET Control Theory Appl., 2016, 10, (5), pp. 526533.
    2. 2)
      • 2. Heemels, W., Johansson, K., Tabuada, P.: ‘An introduction to event-triggered and self-triggered control’. Proc. 51st IEEE Conf. Decision and Control, 2012, pp. 32703285.
    3. 3)
      • 3. Davoodi, M., Meskin, N., Khorasani, K.: ‘Event-triggered multi-objective control and fault diagnosis: a unified framework’, IEEE Trans. Ind. Inf., 2016, PP, (99), pp. 298311.
    4. 4)
      • 4. Eqtami, A., Dimarogonas, D., Kyriakopoulos, K.: ‘Event-triggered control for discrete-time systems’. Proc. American Control Conf., 2010, pp. 47194724.
    5. 5)
      • 5. Abdelrahim, M., Postoyan, R., Daafouz, J., et al: ‘Co-design of output feedback laws and event-triggering conditions for linear systems’. Proc. 53rd IEEE Conf. Decision and Control, 2014, pp. 35603565.
    6. 6)
      • 6. Meng, X., Chen, T.: ‘Event detection and control co-design of sampled-data systems’, Int. J. Control, 2014, 87, (4), pp. 777786.
    7. 7)
      • 7. Girard, A.: ‘Dynamic triggering mechanisms for event-triggered control’, IEEE Trans. Autom. Control, 2015, 60, (7), pp. 19921997.
    8. 8)
      • 8. Almeida, J., Silvestre, C., Pascoal, A.: ‘Self-triggered output feedback control of linear plants in the presence of unknown disturbances’, IEEE Trans. Autom. Control, 2014, 59, (11), pp. 30403045.
    9. 9)
      • 9. Heemels, W., Donkers, M., Teel, A.: ‘Periodic event-triggered control for linear systems’, IEEE Trans. Autom. Control, 2013, 58, (4), pp. 847861.
    10. 10)
      • 10. Wang, Z., Chen, T.: ‘Data and event-driven control of a class of networked non-linear control systems’, IET Control Theory Applic., 2015, 9, (7), pp. 10341041.
    11. 11)
      • 11. Garcia, E., Antsaklis, P.J.: ‘Model-based event-triggered control for systems with quantization and time-varying network delays’, IEEE Trans. Autom. Control, 2013, 58, (2), pp. 422434.
    12. 12)
      • 12. Mazo, M., Tabuada, P.: ‘Decentralized event-triggered control over wireless sensor/actuator networks’, IEEE Trans. Autom. Control, 2011, 56, (10), pp. 24562461.
    13. 13)
      • 13. Lunze, J., Lehmann, D.: ‘A state-feedback approach to event-based control’, Automatica, 2010, 46, (1), pp. 211215.
    14. 14)
      • 14. Stöcker, C., Lunze, J.: ‘Event-based control of nonlinear systems: an input-output linearization approach’. Proc. 50th IEEE Conf. Decision and Control', 2011, pp. 25412546.
    15. 15)
      • 15. Shamma, J.: ‘An overview of LPV systems’, in Mohammadpour, J., Scherer, C.W. (Eds.): ‘Control of linear parameter varying systems with applications’ (Springer, US, 2012), pp. 326.
    16. 16)
      • 16. Shanbin, L., Bugong, X.: ‘Event-triggered control for discrete-time uncertain linear parameter-varying systems’. Proc. 32nd Chinese Control Conf.', 2013, pp. 273278.
    17. 17)
      • 17. Li, S., Sauter, D., Xu, B.: ‘Co-design of event-triggered control for discrete-time linear parameter-varying systems with network-induced delays’, J. Franklin Inst., 2015, 352, (5), pp. 18671892.
    18. 18)
      • 18. Braga, M.F., Morais, C.F., Tognetti, E.S., et al: ‘Discretization and event triggered digital output feedback control of LPV systems’, Syst. Control Lett., 2015, 86, pp. 5465.
    19. 19)
      • 19. Jetto, L., Orsini, V.: ‘A new event-driven output-based discrete-time control for the sporadic MIMO tracking problem’, Int. J. Robust Nonlinear Control, 2014, 24, (5), pp. 859875.
    20. 20)
      • 20. Hu, S., Zhang, Y., Du, Z.: ‘Network-based H tracking control with event-triggering sampling scheme’, IET Control Theory Appl., 2012, 6, (4), pp. 533544.
    21. 21)
      • 21. Tallapragada, P., Chopra, N.: ‘On event triggered trajectory tracking for control affine nonlinear systems’. Proc. 50th IEEE Conf. Decision and Control, 2011, pp. 53775382.
    22. 22)
      • 22. Golabi, A., Meskin, N., Tóth, R., et al: ‘Event-triggered control for discrete-time linear parameter-varying systems’. Proc. American Control Conf., 2016.
    23. 23)
      • 23. Tóth, R.: ‘Modeling and identification of linear parameter-varying systems’ (LNCS403) (Springer, Berlin, Germany, 2010).
    24. 24)
      • 24. Heemels, W., Daafouz, J., Millerioux, G.: ‘Observer-based control of discrete-time LPV systems with uncertain parameters’, IEEE Trans. Autom. Control, 2010, 55, (9), pp. 21302135.
    25. 25)
      • 25. Franklin, G., Powell, J., Workman, M.: ‘Digital control of dynamic systemsAddison-Wesley world student series' (Addison Wesley Longman, 1998).
    26. 26)
      • 26. Åström, K., Wittenmark, B.: ‘Computer-controlled systems: theory and design’ (Dover Publications, 2011, 3rd edn.).
    27. 27)
      • 27. Stoer, J., Bulirsch, R.: ‘Introduction to numerical analysis, no. 3 in Addison-Wesley world student series’ (Springer-Verlag, New York, 2002).

Related content

This is a required field
Please enter a valid email address