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Spatiotemporal Tubes based Controller Synthesis against Omega-Regular Specifications for Unknown Systems

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arxiv 2503.08337 v1 pith:C2L3NK5M submitted 2025-03-11 eess.SY cs.SY

classification eess.SYcs.SY
keywords controllersomegapropertiesreach-avoidregularspatiotemporalsynthesissystems
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abstract

This paper provides a discretization-free solution to the synthesis of approx-imation-free closed-form controllers for unknown nonlinear systems to enforce complex properties expressed by $\omega$-regular languages, as recognized by Non-deterministic B\"uchi Automata (NBA). In order to solve this problem, we first decompose NBA into a sequence of reach-avoid problems, which are solved using the Spatiotemporal Tubes (STT) approach. Controllers for each reach-avoid task are then integrated into a hybrid policy that ensures the fulfillment of the desired $\omega$-regular properties. We validate our method through omnidirectional robot navigation and manipulator control case studies.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Maximally Resilient Controllers under Temporal Logic Specifications

    eess.SY 2025-09 conditional novelty 6.0 of 10

    The paper formulates controller synthesis that maximizes the disturbance a closed-loop system can withstand under finite-horizon temporal logic specifications, with exact linear and probabilistic nonlinear solutions.

  2. Spatiotemporal Tubes for Temporal Reach-Avoid-Stay Tasks in Unknown Systems

    eess.SY 2024-11 conditional novelty 6.0 of 10

    A sampling-based method constructs spatiotemporal tubes and a closed-form controller that make unknown nonlinear systems satisfy temporal reach-avoid-stay tasks with formal guarantees.

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