Stability-certified reinforcement learning: A control-theoretic perspective

M Jin, J Lavaei - IEEE Access, 2020 - ieeexplore.ieee.org
We investigate the important problem of certifying stability of reinforcement learning policies
when interconnected with nonlinear dynamical systems. We show that by regulating the …

Safe model-based reinforcement learning with stability guarantees

F Berkenkamp, M Turchetta… - Advances in neural …, 2017 - proceedings.neurips.cc
Reinforcement learning is a powerful paradigm for learning optimal policies from
experimental data. However, to find optimal policies, most reinforcement learning algorithms …

Robust reinforcement learning: A case study in linear quadratic regulation

B Pang, ZP Jiang - Proceedings of the AAAI conference on artificial …, 2021 - ojs.aaai.org
This paper studies the robustness of reinforcement learning algorithms to errors in the
learning process. Specifically, we revisit the benchmark problem of discrete-time linear …

From self-tuning regulators to reinforcement learning and back again

N Matni, A Proutiere, A Rantzer… - 2019 IEEE 58th …, 2019 - ieeexplore.ieee.org
Machine and reinforcement learning (RL) are increasingly being applied to plan and control
the behavior of autonomous systems interacting with the physical world. Examples include …

Reinforcement learning for control: Performance, stability, and deep approximators

L Buşoniu, T De Bruin, D Tolić, J Kober… - Annual Reviews in …, 2018 - Elsevier
Reinforcement learning (RL) offers powerful algorithms to search for optimal controllers of
systems with nonlinear, possibly stochastic dynamics that are unknown or highly uncertain …

Reinforcement learning with fast stabilization in linear dynamical systems

S Lale, K Azizzadenesheli, B Hassibi… - International …, 2022 - proceedings.mlr.press
In this work, we study model-based reinforcement learning (RL) in unknown stabilizable
linear dynamical systems. When learning a dynamical system, one needs to stabilize the …

[HTML][HTML] Reinforcement learning control of constrained dynamic systems with uniformly ultimate boundedness stability guarantee

M Han, Y Tian, L Zhang, J Wang, W Pan - Automatica, 2021 - Elsevier
Reinforcement learning (RL) is promising for complicated stochastic nonlinear control
problems. Without using a mathematical model, an optimal controller can be learned from …

Control regularization for reduced variance reinforcement learning

R Cheng, A Verma, G Orosz… - International …, 2019 - proceedings.mlr.press
Dealing with high variance is a significant challenge in model-free reinforcement learning
(RL). Existing methods are unreliable, exhibiting high variance in performance from run to …

Recurrent neural network controllers synthesis with stability guarantees for partially observed systems

F Gu, H Yin, L El Ghaoui, M Arcak, P Seiler… - Proceedings of the AAAI …, 2022 - ojs.aaai.org
Neural network controllers have become popular in control tasks thanks to their flexibility
and expressivity. Stability is a crucial property for safety-critical dynamical systems, while …

State augmented constrained reinforcement learning: Overcoming the limitations of learning with rewards

M Calvo-Fullana, S Paternain… - … on Automatic Control, 2023 - ieeexplore.ieee.org
A common formulation of constrained reinforcement learning involves multiple rewards that
must individually accumulate to given thresholds. In this class of problems, we show a …