Optimal Event-triggered Control of Uncertain Linear Networked Control Systems: A Co-Design Approach
In this paper, a co-design approach for event-based optimal state regulation of an uncertain linear networked control system is presented. Both the transmission intervals and the control policy are optimized by introducing a novel performance index such that the error in the control policy due to event-based transmission can be maximized. The event-triggering mechanism uses the worst case control input error as threshold to decide the optimal transmission instants. Stochastic Q-learning approach is used to design both the control policy and event-triggering condition without explicit knowledge of the system dynamics. The event-based Q-function parameters are updated using a hybrid scheme both at triggering instants and during inter-event times to accelerate the parameter convergence. The asymptotic stability in the mean square of the closed-loop system is demonstrated using Lyapunov analysis with the assumptions of persistence of excitation of regression vector. Finally, numerical results are included to substantiate the analytical design.
A. Sahoo et al., "Optimal Event-triggered Control of Uncertain Linear Networked Control Systems: A Co-Design Approach," Proceedings of the 2017 IEEE Symposium Series on Computational Intelligence (2017, Honolulu, HI), Institute of Electrical and Electronics Engineers (IEEE), Nov 2017.
The definitive version is available at https://doi.org/10.1109/SSCI.2017.8285416
2017 IEEE Symposium Series on Computational Intelligence, SSCI (2017: Nov. 27-Dec. 1, Honolulu, HI)
Electrical and Computer Engineering
Keywords and Phrases
Artificial intelligence; Asymptotic stability; Closed loop systems; Linear networks; Stochastic systems; Uncertainty analysis; Event-triggered controls; Optimal transmission; Parameter convergence; Performance indices; Persistence of excitation; Q-learning approach; Stability in the mean; Transmission intervals; Networked control systems
International Standard Book Number (ISBN)
Article - Conference proceedings
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