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Adaptive dynamic programming-based algorithm for infinite-horizon linear quadratic stochastic optimal control problems

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arxiv 2210.04486 v1 pith:FFZFPB2I submitted 2022-10-10 math.OC

Adaptive dynamic programming-based algorithm for infinite-horizon linear quadratic stochastic optimal control problems

classification math.OC
keywords algorithmstochasticadaptivecontroldynamicinfinite-horizonlinearoptimal
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This paper investigates an infinite-horizon linear quadratic stochastic (LQS) optimal control problem for a class of continuous-time stochastic systems. By employing the technique of adaptive dynamic programming (ADP), we propose a novel model-free policy iteration (PI) algorithm. Without needing all information of the system coefficient matrices, the proposed PI algorithm iterates by using the data of the input and system state collected on a fixed time interval. Finally, a numerical example is presented to demonstrate the feasibility of the obtained algorithm.

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