Abstract
In this chapter the Model-Based Event-Triggered (MB-ET) framework shown in Chap. 6 is used to maximize the transmission intervals, but also considering the required control effort and the system response. In other words, we consider the design of optimal control laws and optimal thresholds to trigger communication in the presence of plant-model mismatch by appropriately weighting the system performance, the control effort, and the communication cost. The approach we follow is to optimize the performance of the nominal system, which can be unstable in general, and to ensure robust stability for a given class of model uncertainties and for lack of feedback for extended intervals of time.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
J. Araujo, Design and implementation of resource-aware wireless networked control systems, Licentiate Thesis, KTH, 2011
D. Bernardini, A. Bemporad, Energy-aware robust model predictive control based on wireless sensor feedback, in Proceedings of 47th IEEE Conference on Decision and Control, 2008, pp. 3342–3346
J. Douglas, M. Athans, Robust linear quadratic designs with real parameter uncertainty. IEEE T. Automat. Contr. 39(1), 107–111 (1994)
E. Garcia, P. J. Antsaklis, Optimal model-based control with limited communication, in 19th IFAC World Congress, 2014
O. C. Imer, T. Basar, Optimal estimation with limited measurements, in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, 2005, pp. 1029–1034
O. C. Imer, T. Basar, Optimal control with limited controls, in Proceedings of the American Control Conference, 2006, pp. 298–303
F. Lin, A. W. Olbrot, An LQR approach to robust control of linear systems with uncertain parameters, in Proceedings of the 35th IEEE Conference on Decision and Control, 1996, pp. 4158–4163
W. MacKunis, J. W. Curtis, P. E. K. Berg-Yuen, Optimal estimation of multidimensional data with limited measurements, in Proceedings of the American Control Conference, 2011, pp. 4257–4262
P. Misra, LQR design with prescribed damping and degree of stability, in Proceedings of the IEEE International Symposium on Computer-Aided Control System Design, 1996, pp. 68–70
A. Molin and S. Hirche, On LQG joint optimal scheduling and control under communication constraints, in Proceedings of the 48th IEEE Conference on Decision and Control, 2009, pp. 5832-5838.
J.M. Moyne, D.M. Tilbury, The emergence of industrial control networks for manufacturing control, diagnostics, and safety data. P. IEEE 95(1), 29–47 (2007)
D. Tolic, R. Fierro, Stability of feedback linearization under intermittent information: a target-pursuit case, in Proceedings of the American Control Conference, 2011, pp. 3184–3190
Y. Xu, J. Hespanha, Optimal communication logics in networked control systems, in Proceedings of the 43rd IEEE Conference on Decision and Control, 2004, pp. 3527–3532
L. Zhang, D. Hristu-Varsakelis, LQG control under limited communication, in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, 2005, pp. 185–190
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Garcia, E., Antsaklis, P.J., Montestruque, L.A. (2014). Optimal Control of Model-Based Event-Triggered Systems. In: Model-Based Control of Networked Systems. Systems & Control: Foundations & Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-07803-8_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-07803-8_9
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-07802-1
Online ISBN: 978-3-319-07803-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)