Investigating string stability of a time-history control law for Interval Management

Weitz, Lesley A.

doi:10.1016/j.trc.2011.10.002

Cited by 22 publications

(6 citation statements)

References 13 publications

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“…Interval Management in its various forms has been investigated by several organizations, such as MITRE [6][7][8], EuroControl [9][10][11][12], NASA [4,[13][14] and the FAA [15,16]. Evaluations performed by MITRE address both human-in-the-loop simulations as well as theoretical modeling approaches.…”

Section: Abbreviated Survey Of Prior Research In Interval Managementmentioning

confidence: 99%

“…Evaluations performed by MITRE address both human-in-the-loop simulations as well as theoretical modeling approaches. A thorough definition of an interval management concept of operations is outlined by Levitt and Weitz [6,7].…”

Section: Abbreviated Survey Of Prior Research In Interval Managementmentioning

confidence: 99%

“…Trajectory modeling is a rich field [6,8,29,30]. Using the informal notion of "best equipped, best served", aircraft which can achieve a higher conformance to the "required performance" of trajectory prediction, negotiation, and guidance in a 4-D trajectory-based operations environment, may be able to execute procedures such as IM.…”

Section: Stability Issues and Non-linearity In Aircraft Trajectory Momentioning

confidence: 99%

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Comparison of aircraft models and integration schemes for interval management in the tracon

Neogi

Hagen

Herencia-Zapana

2012

2012 IEEE/AIAA 31st Digital Avionics Systems Conference (DASC)

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Reusable models of common elements for communication, computation, decision and control in air traffic management are necessary in order to enable simulation, analysis and assurance of emergent properties, such as safety and stability, for a given operational concept.Uncertainties due to faults, such as dropped messages, along with nonlinearities and sensor noise are an integral part of these models, and impact emergent system behavior. Flight control algorithms designed using a linearized version of the flight mechanics will exhibit error due to model uncertainty, and may not be stable outside a neighborhood of the given point of linearization. Moreover, the communication mechanism by which the sensed state of an aircraft is fed back to a flight control system (such as an ADS-B message) impacts the overall system behavior; both due to sensor noise as well as dropped messages (vacant samples). Additionally simulation of the flight controller system can exhibit further numerical instability, due to selection of the integration scheme and approximations made in the flight dynamics.We examine the theoretical and numerical stability of a speed controller under the Euler and Runge-Kutta schemes of integration, for the "Maintain" phase for a " Mid-Term (2035-2045 Interval Management (IM) Operational Concept" for descent and landing operations.We model uncertainties in communication due to missed ADS-B messages by vacant samples in the integration schemes, and compare the emergent behavior of the system, in terms of stability, via the boundedness of the final system state. Any bound on the errors incurred by these uncertainties will play an essential part in a composable assurance argument required for real-time, flight-deck guidance and control systems,. Thus, we believe that the creation of reusable models, which possess property guarantees, such as safety and stability, is an innovative and essential requirement to assessing the emergent properties of novel airspace concepts of operation.

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Section: Abbreviated Survey Of Prior Research In Interval Managementmentioning

confidence: 99%

Section: Abbreviated Survey Of Prior Research In Interval Managementmentioning

confidence: 99%

Section: Stability Issues and Non-linearity In Aircraft Trajectory Momentioning

confidence: 99%

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Comparison of aircraft models and integration schemes for interval management in the tracon

Neogi

Hagen

Herencia-Zapana

2012

2012 IEEE/AIAA 31st Digital Avionics Systems Conference (DASC)

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“…1 are studied. Such models arise in various application domains, such as vehicle platoons (Levine and Athans 1966;Chu 1974;Ioannou and Chien 1993;Darbha and Hedrick 1996;Eyre et al 1998;Seiler et al 2004;Klinge and Middleton 2009;Knorn 2013), air traffic control (Weitz 2011;Arneson and Langbort 2012), supply chains (Huang et al 2007;Disney et al 2004), and automated irrigation channels (Cantoni et al 2007;Soltanian and Cantoni 2013), for example.…”

Section: Introductionmentioning

confidence: 99%

Decentralized string-stability analysis for heterogeneous cascades subject to load-matching requirements

Soltanian

Cantoni

2015

Multidim Syst Sign Process

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A heterogeneous cascade of stable linear time-invariant subsystems is studied in terms of the spatial and temporal propagation of boundary conditions. The particular context requires constant spatial boundary conditions to be asymptotically matched by the interconnection signals along the string (e.g., to match supply to demand in steady state). Furthermore, the transient response associated with a step change in the spatial boundary condition must remain bounded across space in a string-length independent fashion. With this in mind, an infinite cascade abstraction is considered. A corresponding decentralized string-stability certificate for the desired behaviour is established in terms of the subsystem H ∞ norms, via Lyapunov-type analysis of a two-dimensional model in Roesser form. Verification of the certificate implies uniformly bounded interconnection signals in response to the following system inputs: (i) a square-summable (across space) sequence of initial conditions; and (ii) a uniformly-bounded (across time) finite-energy input applied as the spatial boundary condition (e.g., finite duration on-off pulse). The decentralized nature of the certificate facilitates subsystem-by-subsystem design of local controllers that achieve string-stable behaviour overall. This application of the analysis is explored within the context of a scalable approach to the design of distributed distant-downstream controllers for the sections of an automated irrigation channel.

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“…5) However, no simulation studies had been carried out to investigate a practical operation procedures and its feasibility prior to the authors' studies. 6,7) The airborne separation in such air corridors seems similar to the airborne in-trail separation in arrival routes [8][9][10][11] at a glance. However, the in-trail separation control aims to achieve a constant interval by leading all aircraft to have the same flight speed.…”

Section: Introductionmentioning

confidence: 99%

Decentralized Air Traffic Control in a High Density Corridor Subject to Separation Control Non-uniformity

Takeichi

Nakamura

Fukuoka

2013

Trans. Japan Soc. Aero. S Sci.

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The characteristics of decentralized air traffic control in a high-density corridor subject to separation control non-uniformity are discussed. A high-density corridor is expected to be a one-way air traffic route where only aircraft equipped with airborne surveillance systems are allowed to fly in order to achieve airborne self separation. The air traffic behavior in a high-density corridor under a decentralized control strategy that achieves safe and efficient operation of the air traffic flow with the maximum traffic volume is investigated through numerical simulations. Each simulation result is evaluated in terms of safety and workload. The numerical simulations reveal that some non-uniformity in the aircraft control parameters cause severe conflict situations. It is also found that the aircraft behave collaboratively for the conflict resolution when the uniform distance to begin separation control and the uniform maneuver swiftness are applied. It is concluded that such collaborative separation control is the key to safe operation.

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Investigating string stability of a time-history control law for Interval Management

Cited by 22 publications

References 13 publications

Comparison of aircraft models and integration schemes for interval management in the tracon

Comparison of aircraft models and integration schemes for interval management in the tracon

Decentralized string-stability analysis for heterogeneous cascades subject to load-matching requirements

Decentralized Air Traffic Control in a High Density Corridor Subject to Separation Control Non-uniformity

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