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Event-Triggered Parameterized Control of Nonlinear Systems (2402.16337v2)

Published 26 Feb 2024 in math.OC, cs.SY, and eess.SY

Abstract: This paper deals with event-triggered parameterized control (ETPC) of nonlinear systems with external disturbances. In this control method, between two successive events, each control input to the plant is a linear combination of a set of linearly independent scalar functions. At each event, the controller updates the coefficients of the parameterized control input so as to minimize the error in approximating a continuous time control signal and communicates the same to the actuator. We design an event-triggering rule (ETR) that guarantees global uniform ultimate boundedness of trajectories of the closed loop system. We also ensure the absence of Zeno behavior by showing the existence of a uniform positive lower bound on the inter-event times (IETs). We illustrate our results through numerical examples.

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References (23)
  1. P. Tabuada, “Event-triggered real-time scheduling of stabilizing control tasks,” IEEE Transactions on Automatic Control, vol. 52, no. 9, pp. 1680–1685, 2007.
  2. W. P. M. H. Heemels, K. H. Johansson, and P. Tabuada, “An introduction to event-triggered and self-triggered control,” in IEEE Conference on Decision and Control (CDC), 2012, pp. 3270–3285.
  3. M. Lemmon, “Event-triggered feedback in control, estimation, and optimization,” in Networked control systems.   Springer, 2010, pp. 293–358.
  4. A. Anta and P. Tabuada, “To sample or not to sample: Self-triggered control for nonlinear systems,” IEEE Transactions on Automatic Control, vol. 55, no. 9, pp. 2030–2042, 2010.
  5. W. P. M. H. Heemels, M. C. F. Donkers, and A. R. Teel, “Periodic event-triggered control for linear systems,” IEEE Transactions on Automatic Control, vol. 58, no. 4, pp. 847–861, 2013.
  6. E. García and P. Antsaklis, “Model-based event-triggered control for systems with quantization and time-varying network delays,” IEEE Transactions on Automatic Control, vol. 58, pp. 422–434, 02 2013.
  7. W. Heemels and M. Donkers, “Model-based periodic event-triggered control for linear systems,” Automatica, vol. 49, no. 3, pp. 698–711, 2013.
  8. H. Zhang, D. Yue, X. Yin, and J. Chen, “Adaptive model-based event-triggered control of networked control system with external disturbance,” IET Control Theory & Applications, vol. 10, no. 15, pp. 1956–1962, 2016.
  9. Z. Chen, B. Niu, X. Zhao, L. Zhang, and N. Xu, “Model-based adaptive event-triggered control of nonlinear continuous-time systems,” Applied Mathematics and Computation, vol. 408, p. 126330, 2021.
  10. L. Zhang, J. Sun, and Q. Yang, “Distributed model-based event-triggered leader–follower consensus control for linear continuous-time multiagent systems,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 51, no. 10, pp. 6457–6465, 2021.
  11. H. Li and Y. Shi, “Event-triggered robust model predictive control of continuous-time nonlinear systems,” Automatica, vol. 50, no. 5, pp. 1507–1513, 2014.
  12. F. D. Brunner, W. Heemels, and F. Allgower, “Robust event-triggered MPC with guaranteed asymptotic bound and average sampling rate,” IEEE Transactions on Automatic Control, vol. 62, no. 11, p. 5694 – 5709, 2017.
  13. H. Li, W. Yan, and Y. Shi, “Triggering and control codesign in self-triggered model predictive control of constrained systems: With guaranteed performance,” IEEE Transactions on Automatic Control, vol. 63, no. 11, pp. 4008–4015, 2018.
  14. A. Li and J. Sun, “Resource limited event-triggered model predictive control for continuous-time nonlinear systems based on first-order hold,” Nonlinear Analysis: Hybrid Systems, vol. 47, p. 101273, 2023.
  15. K. Hashimoto, S. Adachi, and D. V. Dimarogonas, “Self-triggered model predictive control for nonlinear input-affine dynamical systems via adaptive control samples selection,” IEEE Transactions on Automatic Control, vol. 62, no. 1, pp. 177–189, 2017.
  16. B. Demirel, V. Gupta, D. E. Quevedo, and M. Johansson, “On the trade-off between communication and control cost in event-triggered dead-beat control,” IEEE Transactions on Automatic Control, vol. 62, no. 6, pp. 2973–2980, 2017.
  17. C. Nowzari and J. Cortés, “Team-triggered coordination for real-time control of networked cyber-physical systems,” IEEE Transactions on Automatic Control, vol. 61, no. 1, pp. 34–47, 2016.
  18. J. Liu, Y. Yu, H. He, and C. Sun, “Team-triggered practical fixed-time consensus of double-integrator agents with uncertain disturbance,” IEEE Transactions on Cybernetics, vol. 51, no. 6, pp. 3263–3272, 2021.
  19. A. B. Chammas and C. T. Leondes, “On the design of linear time invariant systems by periodic output feedback part i. discrete-time pole assignment,” International Journal of Control, vol. 27, no. 6, pp. 885–894, 1978.
  20. P. Kabamba, “Control of linear systems using generalized sampled-data hold functions,” IEEE Transactions on Automatic Control, vol. 32, no. 9, pp. 772–783, 1987.
  21. J. Lavaei, S. Sojoudi, and A. G. Aghdam, “Pole assignment with improved control performance by means of periodic feedback,” IEEE Transactions on Automatic Control, vol. 55, no. 1, pp. 248–252, 2010.
  22. A. Rajan and P. Tallapragada, “Event-triggered parameterized control for stabilization of linear systems,” Accepted at 62nd IEEE Conference on Decision and Control (CDC), 2023.
  23. A. Rajan, V. Harini, B. Amrutur, and P. Tallapragada, “Event-triggered polynomial control for trajectory tracking of unicycle robots,” arXiv preprint arXiv:2308.15834, 2023. [Online]. Available: http://arxiv.org/abs/2308.15834

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