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Learning Adaptive Optimal Controllers for Linear Time-Delay Systems ^*

https://doi.org/10.23919/ACC55779.2023.10156108

Cui, Leilei; Pang, Bo; Jiang, Zhong-Ping (May 2023, American Control Conference)

This paper studies the learning-based optimal control for a class of infinite-dimensional linear time-delay systems. The aim is to fill the gap of adaptive dynamic programming (ADP) where adaptive optimal control of infinite-dimensional systems is not addressed. A key strategy is to combine the classical model-based linear quadratic (LQ) optimal control of time-delay systems with the state-of-art reinforcement learning (RL) technique. Both the model-based and data-driven policy iteration (PI) approaches are proposed to solve the corresponding algebraic Riccati equation (ARE) with guaranteed convergence. The proposed PI algorithm can be considered as a generalization of ADP to infinite-dimensional time-delay systems. The efficiency of the proposed algorithm is demonstrated by the practical application arising from autonomous driving in mixed traffic environments, where human drivers’ reaction delay is considered.
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Event-triggered control for linear time-varying systems using a positive systems approach

https://doi.org/10.1016/j.sysconle.2022.105131

Mazenc, Frederic; Malisoff, Michael; Barbalata, Corina; Jiang, Zhong-Ping (March 2022, Systems & Control Letters)

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Event-Triggered Control for Systems with State Delays Using a Positive Systems Approach

https://doi.org/10.1109/CDC45484.2021.9682814

Mazenc, Frederic; Malisoff, Michael; Barbalata, Corina; Jiang, Zhong-Ping (December 2021, Proceedings of the 60th IEEE Conference on Decision and Control)

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Event-triggered control using a positive systems approach

https://doi.org/10.1016/j.ejcon.2021.06.031

Mazenc, Frédéric; Malisoff, Michael; Barbalata, Corina; Jiang, Zhong-Ping (November 2021, European Journal of Control)

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Reduced-order fast converging observers for systems with discrete measurements and measurement error

https://doi.org/10.1016/j.sysconle.2021.104892

Mazenc, Frédéric; Malisoff, Michael; Jiang, Zhong-Ping (April 2021, Systems & Control Letters)
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Reduced Order Fast Converging Observer for Systems with Discrete Measurements

https://doi.org/10.1016/j.ifacol.2021.06.078

Mazenc, Frédéric; Malisoff, Michael; Jiang, Zhong-Ping (January 2021, IFAC-PapersOnLine)

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