2013 IEEE International Conference on Robotics and Automation 2013
DOI: 10.1109/icra.2013.6631152
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Provably correct continuous control for high-level robot behaviors with actions of arbitrary execution durations

Abstract: Formal methods have recently been successfully applied to construct verifiable high-level robot control. Most approaches use a discrete abstraction of the underlying continuous domain, and make simplifying assumptions about the physical execution of actions given a discrete implementation. Relaxing these assumptions unearths a number of challenges in the continuous implementation of automatically-synthesized hybrid controllers. This paper describes a controller-synthesis framework that ensures correct continuo… Show more

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Cited by 23 publications
(16 citation statements)
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“…For more details, the reader is referred to Bloem et al [4]. In contrast to older GR(1) synthesis literature, we also allow the next-time operator in liveness assumptions and guarantees, which has been shown to only require a minor change to the standard GR(1) synthesis procedure [14].…”
Section: Preliminariesmentioning
confidence: 98%
“…For more details, the reader is referred to Bloem et al [4]. In contrast to older GR(1) synthesis literature, we also allow the next-time operator in liveness assumptions and guarantees, which has been shown to only require a minor change to the standard GR(1) synthesis procedure [14].…”
Section: Preliminariesmentioning
confidence: 98%
“…We adopt a LTL encoding of a centralized multi-robot mission that is robust to the inherent variability in the duration of inter-region robot motion in continuous environments (Raman et al 2013). Let AP R = {π i α | R α ∈ R} be the set of Boolean propositions representing the workspace regions, such that π i α ∈ AP R is True when robot i is physically in R α for α ∈ [1, .…”
Section: Ltl Encoding For Multi-robot Tasksmentioning
confidence: 99%
“…A proposition π ∈ AP is True at time t > 0 iff π ∈ AP is True at t + T . (Raman et al 2013)] A task encoding that admits arbitrary controller execution durations is…”
Section: Ltl Encoding For Multi-robot Tasksmentioning
confidence: 99%
“…This variant uses a technique inspired by Raman et al [20] to synthesize a reactive controller for continuous control. The setting requires the controller to be aware whether actions have completed or not.…”
Section: V2continuousmentioning
confidence: 99%
“…The second variant applies a method inspired by Raman et al [20] for continuous control. The main idea is to add a new variable for every action which signals completion of the action.…”
Section: V2continuous: Assumptions and Guaranteesmentioning
confidence: 99%