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Actor-Critic Reinforcement Learning for Control with Stability Guarantee
Reinforcement Learning (RL) and its integration with deep learning have
achieved impressive performance in various robotic control tasks, ranging from
motion planning and navigation to end-to-end visual manipulation. However,
stability is not guaranteed in model-free RL by solely using data. From a
control-theoretic perspective, stability is the most important property for any
control system, since it is closely related to safety, robustness, and
reliability of robotic systems. In this paper, we propose an actor-critic RL
framework for control which can guarantee closed-loop stability by employing
the classic Lyapunov's method in control theory. First of all, a data-based
stability theorem is proposed for stochastic nonlinear systems modeled by
Markov decision process. Then we show that the stability condition could be
exploited as the critic in the actor-critic RL to learn a controller/policy. At
last, the effectiveness of our approach is evaluated on several well-known
3-dimensional robot control tasks and a synthetic biology gene network tracking
task in three different popular physics simulation platforms. As an empirical
evaluation on the advantage of stability, we show that the learned policies can
enable the systems to recover to the equilibrium or way-points when interfered
by uncertainties such as system parametric variations and external disturbances
to a certain extent.Comment: IEEE RA-L + IROS 202
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