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Clustering-based Recurrent Neural Network Controller synthesis under Signal Temporal Logic Specifications

2025/04/28 by Kazunobu Serizawa, Serizawa, Kazunobu, Kazumune Hashimoto +7
Computer Science · Engineering · #Autonomous Vehicle Technology and Safety #FOS: Electrical engineering #Robotic Path Planning Algorithms #Systems and Control (eess.SY) #Vehicle Dynamics and Control Systems #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2504.19846

openalex publication_date 2025/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Autonomous robotic systems require advanced control frameworks to achieve complex temporal objectives that extend beyond conventional stability and trajectory tracking. Signal Temporal Logic (STL) provides a formal framework for specifying such objectives, with robustness metrics widely employed for control synthesis. Existing optimization-based approaches using neural network (NN)-based controllers often rely on a single NN for both learning and control. However, variations in initial states and obstacle configurations can lead to discontinuous changes in the optimization solution, thereby degrading generalization and control performance. To address this issue, this study proposes a method to enhance recurrent neural network (RNN)-based control by clustering solution trajectories that satisfy STL specifications under diverse initial conditions. The proposed approach utilizes trajectory similarity metrics to generate clustering labels, which are subsequently used to train a classification network. This network assigns new initial states and obstacle configurations to the appropriate cluster, enabling the selection of a specialized controller. By explicitly accounting for variations in solution trajectories, the proposed method improves both estimation accuracy and control performance. Numerical experiments on a dynamic vehicle path planning problem demonstrate the effectiveness of the approach.

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