20170925 WIMSIG Conference - ALBRECHTpdf
20170925 WIMSIG Conference - ALBRECHTpdf
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  1. Energy-efficient train controlThe two-train separation problem on non-level trackAmie Albrecht@nomadpenguinPhil Howlett Peter Pudney Xuan Vu Peng ZhouScheduling and Control GroupSchool of Information Technology and Mathematical Sciences, UniSAwww.tinyurl.com/aa-wimsig2017•ARC Linkage Grant LP150100749
  2. Energy-efficient train controlThe two-train separation problem on non-level trackAmie Albrecht@nomadpenguinPhil Howlett Peter Pudney Xuan Vu Peng ZhouScheduling and Control GroupSchool of Information Technology and Mathematical Sciences, UniSAwww.tinyurl.com/wimsig2017-aa•ARC Linkage Grant LP150100749
  3. Metromiser (1982–2000)•Prototypes on SA trains•Commercialised; fuel savings of 13%SPIRT Grant (1998–2001)•With industry partner TTGRail CRCs (2002–2007)•Freightmiser, SchedulemiserARC Linkage Grants (2011–current)•Energymiser used around the world•Demonstration, evaluation, integration•Connected driver advice systems
  4. Metromiser (1982–2000)•Prototypes on SA trains•Commercialised; fuel savings of 13%SPIRT Grant (1998–2001)•With industry partner TTGRail CRCs (2002–2007)•Freightmiser, SchedulemiserARC Linkage Grants (2011–current)•Energymiser used around the world•Demonstration, evaluation, integration•Connected driver advice systems
  5. Metromiser (1982–2000)•Prototypes on SA trains•Commercialised; fuel savings of 13%SPIRT Grant (1998–2001)•With industry partner TTGRail CRCs (2002–2007)•Freightmiser, SchedulemiserARC Linkage Grants (2011–current)•Energymiser used around the world•Demonstration, evaluation, integration•Connected driver advice systems
  6. Metromiser (1982–2000)•Prototypes on SA trains•Commercialised; fuel savings of 13%SPIRT Grant (1998–2001)•With industry partner TTGRail CRCs (2002–2007)•Freightmiser, SchedulemiserARC Linkage Grants (2011–current)•Energymiser used around the world•Demonstration, evaluation, integration•Connected driver advice systems
  7. Optimal control of a single trainEquation of motion:dvdx=ua−ub−r(v) +g(x)vElapsed time:dtdx=1vJourney cost:J(ua,ub) =ZX0[ua−ρub]dx,ρ∈[0,1)Controls:Driving: 0≤ua≤H(v) Braking: 0≤ub≤K(v)Problem:Find a control functionu= (ua(x),ub(x)) and correspondingspeedprofilev(x) withv(0) =v(X) = 0 andt(X)−t(0)≤Tthatminimises energy use.
  8. Optimal control of a single trainEquation of motion:dvdx=ua−ub−r(v) +g(x)vElapsed time:dtdx=1vJourney cost:J(ua,ub) =ZX0[ua−ρub]dx,ρ∈[0,1)Controls:Driving: 0≤ua≤H(v) Braking: 0≤ub≤K(v)Problem:Find a control functionu= (ua(x),ub(x)) and correspondingspeedprofilev(x) withv(0) =v(X) = 0 andt(X)−t(0)≤Tthatminimises energy use.
  9. Optimal control of a single trainEquation of motion:dvdx=ua−ub−r(v) +g(x)vElapsed time:dtdx=1vJourney cost:J(ua,ub) =ZX0[ua−ρub]dx,ρ∈[0,1)Controls:Driving: 0≤ua≤H(v) Braking: 0≤ub≤K(v)Problem:Find a control functionu= (ua(x),ub(x)) and correspondingspeedprofilev(x) withv(0) =v(X) = 0 andt(X)−t(0)≤Tthatminimises energy use.
  10. Optimal control of a single trainEquation of motion:dvdx=ua−ub−r(v) +g(x)vElapsed time:dtdx=1vJourney cost:J(ua,ub) =ZX0[ua−ρub]dx,ρ∈[0,1)Controls:Driving: 0≤ua≤H(v) Braking: 0≤ub≤K(v)Problem:Find a control functionu= (ua(x),ub(x)) and correspondingspeedprofilev(x) withv(0) =v(X) = 0 andt(X)−t(0)≤Tthatminimises energy use.
  11. Optimal control of a single trainEquation of motion:dvdx=ua−ub−r(v) +g(x)vElapsed time:dtdx=1vJourney cost:J(ua,ub) =ZX0[ua−ρub]dx,ρ∈[0,1)Controls:Driving: 0≤ua≤H(v) Braking: 0≤ub≤K(v)Problem:Find a control functionu= (ua(x),ub(x)) and correspondingspeedprofilev(x) withv(0) =v(X) = 0 andt(X)−t(0)≤Tthatminimises energy use.
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