Safe learning for control using control lyapunov functions and control barrier functions: A review

A Anand, K Seel, V Gjærum, A Håkansson… - Procedia Computer …, 2021 - Elsevier
Real-world autonomous systems are often controlled using conventional model-based
control methods. But if accurate models of a system are not available, these methods may be …

Stochastic reinforcement learning with stability guarantees for control of unknown nonlinear systems

T Quartz, R Zhou, H De Sterck, J Liu - arxiv preprint arxiv:2409.08382, 2024 - arxiv.org
Designing a stabilizing controller for nonlinear systems is a challenging task, especially for
high-dimensional problems with unknown dynamics. Traditional reinforcement learning …

On Stochastic Stabilization via Nonsmooth Control Lyapunov Functions

P Osinenko, G Yaremenko… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Control Lyapunov function is a central tool in stabilization. It generalizes an abstract energy
function—a Lyapunov function—to the case of controlled systems. It is a known fact that most …

Closed‐loop stability analysis of deep reinforcement learning controlled systems with experimental validation

MB Mohiuddin, I Boiko, R Azzam… - IET Control Theory & …, 2024 - Wiley Online Library
Trained deep reinforcement learning (DRL) based controllers can effectively control
dynamic systems where classical controllers can be ineffective and difficult to tune …

Predictive reinforcement learning: map-less navigation method for mobile robot

D Dobriborsci, R Zashchitin, M Kakanov… - Journal of Intelligent …, 2024 - Springer
The application of reinforcement learning in mobile robotics faces the challenges of real-
world physical environments, in contrast to playground setups like video games. In a mobile …

Robust stability of neural-network-controlled nonlinear systems with parametric variability

S Talukder, R Kumar - IEEE Transactions on Systems, Man …, 2023 - ieeexplore.ieee.org
Stability certification and identification of a safe and stabilizing initial set are two important
concerns in ensuring operational safety, stability, and robustness of dynamical systems. With …

Navigation for autonomous vehicles via fast-stable and smooth reinforcement learning

RX Zhang, JN Yang, Y Liang, SA Lu, YF Dong… - Science China …, 2024 - Springer
This paper investigates the navigation problem of autonomous vehicles based on
reinforcement learning (RL) with both stability and smoothness guarantees. By introducing a …

Stability Guaranteed Actor-Critic Learning for Robots in Continuous Time

L Pantoja-Garcia, V Parra-Vega… - 2023 20th …, 2023 - ieeexplore.ieee.org
Actor-Critic (AC) architecture has the salient feature, for the plethora of Reinforcement
Learning schemes, that two intertwining neural networks (NN) collaborate to deploy a motor …

A generalized stacked reinforcement learning method for sampled systems

P Osinenko, D Dobriborsci… - … on Automatic Control, 2023 - ieeexplore.ieee.org
A common setting of reinforcement learning (RL) is a Markov decision process (MDP) in
which the environment is a stochastic discrete-time dynamical system. Whereas MDPs are …

Review of Metrics to Measure the Stability, Robustness and Resilience of Reinforcement Learning

LL Pullum - arxiv preprint arxiv:2203.12048, 2022 - arxiv.org
Reinforcement learning has received significant interest in recent years, due primarily to the
successes of deep reinforcement learning at solving many challenging tasks such as …