2018
DOI: 10.1177/0954410018810255
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Collision prediction and avoidance for satellite ultra-close relative motion with zonotope-based reachable sets

Abstract: Collision prediction and avoidance are critical for satellite proximity operations, and the key is the treatment of satellites' motion uncertainties and shapes, especially for ultra-close autonomous systems. In this paper, the zonotope-based reachable sets are utilized to propagate the uncertainties. For satellites with slender structures (such as solar panels), their shapes are simplified as cuboids which is a special class of zonotopes, instead of the classical sphere approach. The domains in position subspa… Show more

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Cited by 10 publications
(3 citation statements)
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“…Stursberg et al used a counterexample-guided verification approach to prove the correctness of a cruise control system, which is modelled as a hybrid automaton [39]. Xu et al proposed a collision prediction approach for satellites with zonotope-based reachable sets, in which the satellites are simplified as cuboids to compute reachable domains and dangerous domains with uncertain motions [40]. These works focus on proving the correctness of a system.…”
Section: B Predictions Of Train Operationsmentioning
confidence: 99%
“…Stursberg et al used a counterexample-guided verification approach to prove the correctness of a cruise control system, which is modelled as a hybrid automaton [39]. Xu et al proposed a collision prediction approach for satellites with zonotope-based reachable sets, in which the satellites are simplified as cuboids to compute reachable domains and dangerous domains with uncertain motions [40]. These works focus on proving the correctness of a system.…”
Section: B Predictions Of Train Operationsmentioning
confidence: 99%
“…In this section the idea of Reachable Sets (RS) and their analysis (Reachability Analysis, RA) is introduced, as well as their relationship with control and estimation of systems. The technique has been used, for instance, in the context of rendezvous of spacecraft (Sanchez et al, 2019), and has many applications in the area of safety for trajectories of vehicles (Xu et al, 2019). This background material constitutes the foundational framework for Section 5.…”
Section: Reachability Analysismentioning
confidence: 99%
“…(Hartley, 2015) provides a tutorial and a detailed discussion. Among the many different approaches that have been developed to explicitly address robustness, we may count feedback corrections (Baldwin et al, 2013), the extended command governor (Petersen et al, 2014), worst-case analysis (Louembet et al, 2015;Xu et al, 2018), stochastic trajectory optimization (Jewison and Miller, 2018), chance constrained MPC (Gavilan et al, 2012;Zhu et al, 2018), sampling-based MPC (Mammarella et al, 2020), tube-based MPC (Mammarella et al, 2018;Dong et al, 2020), and reactive collision avoidance (Scharf et al, 2006). In addition to various uncertainties, anomalous system behavior such as guidance system shutdowns, thruster failures, and loss of sensing, also poses unique challenges in RPO.…”
Section: Rendezvous and Proximity Operationsmentioning
confidence: 99%