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Multi-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5, 2013 Renshi Luo (DCSC, TUD) 1 / 21

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Page 1: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Multi-Agent Control of A fleet of Cybercars

Renshi Luo

Delft Center for Systems and ControlDelft University of Technology

September 5, 2013

Renshi Luo (DCSC, TUD) 1 / 21

Page 2: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Who I am

Renshi Luo (DCSC, TUD) 2 / 21

Page 3: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Who I am

• second year Ph.D candicate

Renshi Luo (DCSC, TUD) 2 / 21

Page 4: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Who I am

• second year Ph.D candicate

• member of Hybrid and Distributed Systems and Control group

Renshi Luo (DCSC, TUD) 2 / 21

Page 5: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Who I am

• second year Ph.D candicate

• member of Hybrid and Distributed Systems and Control group

• work with Ton van den Boom and Bart De Schutter

Renshi Luo (DCSC, TUD) 2 / 21

Page 6: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Do you drive car?

Renshi Luo (DCSC, TUD) 3 / 21

Page 7: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Renshi Luo (DCSC, TUD) 4 / 21

Page 8: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

• accidents

Renshi Luo (DCSC, TUD) 4 / 21

Page 9: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

• accidents

• congestion

Renshi Luo (DCSC, TUD) 4 / 21

Page 10: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

• accidents

• congestion

• energy consumption

Renshi Luo (DCSC, TUD) 4 / 21

Page 11: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

• accidents

• congestion

• energy consumption

• pollution

Renshi Luo (DCSC, TUD) 4 / 21

Page 12: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Renshi Luo (DCSC, TUD) 5 / 21

Page 13: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Public transport systems

• considered suitable solutions to those problems

Renshi Luo (DCSC, TUD) 6 / 21

Page 14: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Public transport systems

• considered suitable solutions to those problems

• e.g., buses, trams, subways, etc

Renshi Luo (DCSC, TUD) 6 / 21

Page 15: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Public transport systems

• considered suitable solutions to those problems

• e.g., buses, trams, subways, etc

• widely used and contiuously improved

Renshi Luo (DCSC, TUD) 6 / 21

Page 16: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Public transport systems

• considered suitable solutions to those problems

• e.g., buses, trams, subways, etc

• widely used and contiuously improved

• * predefined schedules and routes

Renshi Luo (DCSC, TUD) 6 / 21

Page 17: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Public transport systems

• considered suitable solutions to those problems

• e.g., buses, trams, subways, etc

• widely used and contiuously improved

• * predefined schedules and routes

In terms of personal mobility, private cars still win !!

Renshi Luo (DCSC, TUD) 6 / 21

Page 18: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Public transport systems

• considered suitable solutions to those problems

• e.g., buses, trams, subways, etc

• widely used and contiuously improved

• * predefined schedules and routes

In terms of personal mobility, private cars still win !!

Problems are still unsolved !!

Renshi Luo (DCSC, TUD) 6 / 21

Page 19: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

New approach for personal mobility

Renshi Luo (DCSC, TUD) 7 / 21

Page 20: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

New approach for personal mobility

Cybercars

• automated road vehicles

Renshi Luo (DCSC, TUD) 7 / 21

Page 21: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

New approach for personal mobility

Cybercars

• automated road vehicles

• provide on-demand and door-to-door service

Renshi Luo (DCSC, TUD) 7 / 21

Page 22: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

New approach for personal mobility

Cybercars

• automated road vehicles

• provide on-demand and door-to-door service

• mostly small-sized

Renshi Luo (DCSC, TUD) 7 / 21

Page 23: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

New approach for personal mobility

Cybercars

• automated road vehicles

• provide on-demand and door-to-door service

• mostly small-sized

• energy efficient

Renshi Luo (DCSC, TUD) 7 / 21

Page 24: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cybercars

*pictures from www.cybercars.org

Renshi Luo (DCSC, TUD) 8 / 21

Page 25: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cybernetic transportation system (CTS)

• promising solution to urban transportation challenges

Renshi Luo (DCSC, TUD) 9 / 21

Page 26: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cybernetic transportation system (CTS)

• promising solution to urban transportation challenges

• formed by a fleet of cybercars

Renshi Luo (DCSC, TUD) 9 / 21

Page 27: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cybernetic transportation system (CTS)

• promising solution to urban transportation challenges

• formed by a fleet of cybercars

• high flexibility amd reactivity

Renshi Luo (DCSC, TUD) 9 / 21

Page 28: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cybernetic transportation system (CTS)

• promising solution to urban transportation challenges

• formed by a fleet of cybercars

• high flexibility amd reactivity

• emerged in Europe and first used at Schipol airport

Renshi Luo (DCSC, TUD) 9 / 21

Page 29: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cybernetic transportation system (CTS)

• promising solution to urban transportation challenges

• formed by a fleet of cybercars

• high flexibility amd reactivity

• emerged in Europe and first used at Schipol airport

• projects including CyberCars, CyberMove and CyberCars-2,CityMobil

Renshi Luo (DCSC, TUD) 9 / 21

Page 30: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Opportunity and Challenge

Renshi Luo (DCSC, TUD) 10 / 21

Page 31: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Opportunity and Challenge

Opportunity

automated driving technology has been well developed

Renshi Luo (DCSC, TUD) 10 / 21

Page 32: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Opportunity and Challenge

Opportunity

automated driving technology has been well developed

Challenge

lack of efficient cooperation strategy

Renshi Luo (DCSC, TUD) 10 / 21

Page 33: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cooperation of cybercars

Renshi Luo (DCSC, TUD) 11 / 21

Page 34: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cooperation of cybercars

Cooperation

• necessary for optimal performance of CTS

Renshi Luo (DCSC, TUD) 11 / 21

Page 35: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cooperation of cybercars

Cooperation

• necessary for optimal performance of CTS

variaty

• collision avoidance

• platoon merge and split

• dynamic routing

Renshi Luo (DCSC, TUD) 11 / 21

Page 36: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cooperation of cybercars

Renshi Luo (DCSC, TUD) 12 / 21

Page 37: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cooperation of cybercars

Multi-agent system

Renshi Luo (DCSC, TUD) 12 / 21

Page 38: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cooperation of cybercars

Multi-agent system

• moving decision-making agents

Renshi Luo (DCSC, TUD) 12 / 21

Page 39: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cooperation of cybercars

Multi-agent system

• moving decision-making agents

• extensive on-board processing and communication capabilities

Renshi Luo (DCSC, TUD) 12 / 21

Page 40: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cooperation of cybercars

Multi-agent system

• moving decision-making agents

• extensive on-board processing and communication capabilities

• abundant information of environment

Renshi Luo (DCSC, TUD) 12 / 21

Page 41: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Cooperation of cybercars

Multi-agent system

• moving decision-making agents

• extensive on-board processing and communication capabilities

• abundant information of environment

Abstract object of our research !!

Renshi Luo (DCSC, TUD) 12 / 21

Page 42: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Fleet control problem of cybercars

Renshi Luo (DCSC, TUD) 13 / 21

Page 43: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Fleet control problem of cybercars

Existing reseach

Renshi Luo (DCSC, TUD) 13 / 21

Page 44: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Fleet control problem of cybercars

Existing reseach

• from conceptual point of view

Renshi Luo (DCSC, TUD) 13 / 21

Page 45: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Fleet control problem of cybercars

Existing reseach

• from conceptual point of view

• conceptual description of control system architecture andfunctions

Renshi Luo (DCSC, TUD) 13 / 21

Page 46: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Fleet control problem of cybercars

Existing reseach

• from conceptual point of view

• conceptual description of control system architecture andfunctions

Our research

Renshi Luo (DCSC, TUD) 13 / 21

Page 47: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Fleet control problem of cybercars

Existing reseach

• from conceptual point of view

• conceptual description of control system architecture andfunctions

Our research

• explore specific case, i.e., dynamic routing problem

Renshi Luo (DCSC, TUD) 13 / 21

Page 48: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Renshi Luo (DCSC, TUD) 14 / 21

Page 49: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Set up

Renshi Luo (DCSC, TUD) 14 / 21

Page 50: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Set up

• dedicated roads network

Renshi Luo (DCSC, TUD) 14 / 21

Page 51: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Set up

• dedicated roads network

• cybercars are free to make its desired route choices

Renshi Luo (DCSC, TUD) 14 / 21

Page 52: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Set up

• dedicated roads network

• cybercars are free to make its desired route choices

• traffic densities in all roads decide velocities

Renshi Luo (DCSC, TUD) 14 / 21

Page 53: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Set up

• dedicated roads network

• cybercars are free to make its desired route choices

• traffic densities in all roads decide velocities

• energy consumption depend on velocities and variation of

velocities

Renshi Luo (DCSC, TUD) 14 / 21

Page 54: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Renshi Luo (DCSC, TUD) 15 / 21

Page 55: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Modeling

Renshi Luo (DCSC, TUD) 15 / 21

Page 56: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Modeling

• discrete-time

Renshi Luo (DCSC, TUD) 15 / 21

Page 57: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Modeling

• discrete-time

• discrete-event

Renshi Luo (DCSC, TUD) 15 / 21

Page 58: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Modeling

• discrete-time

• discrete-event

Objectives

Renshi Luo (DCSC, TUD) 15 / 21

Page 59: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Modeling

• discrete-time

• discrete-event

Objectives

• minimizing total time spent (TTS)

Renshi Luo (DCSC, TUD) 15 / 21

Page 60: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Problem description

Modeling

• discrete-time

• discrete-event

Objectives

• minimizing total time spent (TTS)

• minimizing total energy consumption (TEC)

Renshi Luo (DCSC, TUD) 15 / 21

Page 61: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Model predictive control (MPC)

*figure from Ph.D thesis of L.D. Baskar

Renshi Luo (DCSC, TUD) 16 / 21

Page 62: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Centralized MPC

*figure from Journal paper of J.M. Maestre

Renshi Luo (DCSC, TUD) 17 / 21

Page 63: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Distributed MPC

*figure from Journal paper of J.M. Maestre

Renshi Luo (DCSC, TUD) 18 / 21

Page 64: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Research guide

Renshi Luo (DCSC, TUD) 19 / 21

Page 65: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Research guide

Modeling

• discrete-time modeling & discrete-event modeling

Renshi Luo (DCSC, TUD) 19 / 21

Page 66: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Research guide

Modeling

• discrete-time modeling & discrete-event modeling

Centralized control

• desired solution of distributed control

Renshi Luo (DCSC, TUD) 19 / 21

Page 67: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Research guide

Modeling

• discrete-time modeling & discrete-event modeling

Centralized control

• desired solution of distributed control

Distributed Control

• decomposing the problem

Renshi Luo (DCSC, TUD) 19 / 21

Page 68: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Research guide

Modeling

• discrete-time modeling & discrete-event modeling

Centralized control

• desired solution of distributed control

Distributed Control

• decomposing the problem

• extending exsiting distributed control methods

Renshi Luo (DCSC, TUD) 19 / 21

Page 69: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Research guide

Modeling

• discrete-time modeling & discrete-event modeling

Centralized control

• desired solution of distributed control

Distributed Control

• decomposing the problem

• extending exsiting distributed control methods

• developing new distributed control methods

Renshi Luo (DCSC, TUD) 19 / 21

Page 70: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Review

Renshi Luo (DCSC, TUD) 20 / 21

Page 71: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Review

• motivation

Renshi Luo (DCSC, TUD) 20 / 21

Page 72: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Review

• motivation

• specific research problem

Renshi Luo (DCSC, TUD) 20 / 21

Page 73: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Review

• motivation

• specific research problem

• potential control scheme

Renshi Luo (DCSC, TUD) 20 / 21

Page 74: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Review

• motivation

• specific research problem

• potential control scheme

• research guide

Renshi Luo (DCSC, TUD) 20 / 21

Page 75: Multi-Agent Control of A fleet of CybercarsMulti-Agent Control of A fleet of Cybercars Renshi Luo Delft Center for Systems and Control Delft University of Technology September 5,

Renshi Luo (DCSC, TUD) 21 / 21