Table Of ContentSteering Control Characteristics of Human Driver Coupled 
with an Articulated Commercial Vehicle 
 
 
 
Siavash Taheri 
 
 
A Thesis 
In the Department 
of 
Mechanical and Industrial Engineering 
 
 
Presented in Partial Fulfillment of the Requirements 
For the Degree of  
Doctor of Philosophy (Mechanical Engineering) at 
Concordia University 
Montreal, Quebec, Canada 
 
 
January 2014 
© Siavash Taheri, 2014 
  i
CONCORDIA UNIVERSITY 
School of Graduate Studies 
This is to certify that the thesis prepared 
By :  Siavash Taheri 
Entitled:  Steering Control Characteristics of Human Driver Coupled With 
an Articulated Commercial Vehicle 
and submitted in partial fulfilment of the requirements for the degree of 
DOCTOR OF PHILOSOPHY (Mechanical Engineering) 
complies with the regulations of the University and meets the accepted standards with 
respect to originality and quality. 
Signed by the final examining committee: 
    Chair 
Dr. H. Akbari     
    External Examiner 
Dr. Y. He     
    External to program 
Dr. V. Ramachandran     
    Examiner 
Dr. Y. Zhang     
    Examiner 
Dr. R. Sedaghati     
    Co-supervisor 
Dr. S. Rakheja     
    Co-supervisor 
Dr. H. Hong     
 
Approved by   
  Dr. A. Dolatabadi, Graduate Program Director 
     
Januavry 17, 2014    Dr. C. Trueman, Interim Dean 
Faculty of Engineering & Computer Science 
ii
ABSTRACT 
Steering Control Characteristics of Human Driver Coupled With an Articulated 
Commercial Vehicle 
Siavash Taheri, 
Concordia University, 2013 
Road  safety  associated  with  vehicle  operation  is  a  complex  function  of  dynamic 
interactions  between  the  driver,  vehicle,  road  and  the  environment.  Using  different 
motion  perceptions, the driver performs as  a controller to  satisfy key guidance and 
control requirements of the vehicle system. Considerable efforts have been made to 
characterize cognitive behavior of the human drivers in the context of vehicle control. 
The  vast  majority  of  the  reported  studies  on  driver-vehicle  interactions  focus  on 
automobile drivers with little or no considerations of the control limits of the human 
driver.  The  human  driver's  control  performance  is  perhaps  of  greater  concern  for 
articulated vehicle combinations, which exhibit significantly lower stability limits. The 
directional dynamic analyses of such vehicles, however, have been limited either to open-
loop steering and braking inputs or simplified path-following driver models. The primary 
motivations for this dissertation thus arise from the need to characterize human driving 
behavior coupled with articulated vehicles, and to identify essential human perceptions 
for developments in effective driver-assist systems and driver-adaptive designs.  
In this dissertation research, a number of reported driver models employing widely 
different control strategies are reviewed and evaluated to identify the contributions of 
different  control  strategies  as  well  as  the  most  effective  error  prediction  and 
compensation strategies for applications to heavy vehicles. A series of experiments was 
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performed on a driving simulator to measure the steering and braking reaction times, and 
steering and control actions of the drivers with varying driving experience at different 
forward speeds. The measured data were analyzed and different regression models are 
proposed to describe driver’s steering response time, peak steer angle and peak steer rate 
as functions of driving experience and forward speed. 
A two-stage preview driver model incorporating curved path geometry in addition to 
essential  human  driver  cognitive  elements  such  as  path  preview/prediction,  error 
estimation, decision making and hand-arm dynamics, is proposed. The path preview of 
the model is realized using near and far preview points on the roadway to simultaneously 
maintain central lane position and vehicle orientation. The driver model is integrated to 
yaw-plane models of a single-unit vehicle and an articulated vehicle. The coupled driver-
articulated vehicle model is studied to investigate the influences of variations in selected 
vehicle  design  parameters  and  driving  speed  on  the  path  tracking  performance  and 
control characteristics of the human driver. The driver model parameters are subsequently 
identified through minimization of a composite cost function of path and orientation 
errors and target directional dynamic responses subject to limit constraints on the driver 
control  characteristics.  The  significance  of  enhancing  driver's  perception  of  vehicle 
motion states on path tracking and control demands of the driver are then examined by 
involving different motion cues for the driver. The results suggest that the proposed 
model structure could serve as an effective tool to identify human control limits and to 
determine the most effective motion feedback cues that could yield improved directional 
dynamic performance and the control demands. The results are discussed so as to serve as 
guidance towards developments in DAS technologies for future commercial vehicles.  
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Acknowledgments 
 
 
My greatest appreciations to my parents and sisters for their constant support and love in 
my endeavors throughout my lifetime. 
I am sincerely grateful to my supervisors, Dr. Subhash Rakheja and Dr. Henry Hong for 
initiating this research study as well as for their continued technical guidance and great 
financial support during the completion of this thesis work.  
I would also wish to acknowledge Dr. Pierro Hirsch, Mr. Stéphane Desrosiers and all my 
friends  who  have  volunteered  their  help  and  their  great  corporation  during  the 
experimental stages of this work. 
Last but not the least, I greatly thank all colleagues, faculty and staff at the department of 
Mechanical and Industrial Engineering, and my dear friends, specially, Alireza Pazooki, 
Roham Mactabi and Sining Liu, whose pure friendship has motivated my social and 
academic life in Canada. 
   
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LIST OF CONTENTS 
 
List of Figures ...........................................................................................................  xi 
List of Tables ............................................................................................................  xviii 
Nomenclature ............................................................................................................  xxiv 
Abbreviations …………………………..…………………………………………..  xxxi 
CHAPTER 1 
LITERATURE REVIEW AND SCOPE OF THE DISSERTATION 
1.1 Introduction .......................................................................................................  1 
1.2 Review of Relevant Literature .........................................................................  3 
1.2.1 Perception and Prediction Process ............................................................  5 
1.2.2 Path Preview Process ................................................................................  10 
1.2.3 Decision Making Process ..........................................................................  15 
1.2.4 Response/Reaction Time ...........................................................................  24 
1.2.5 Limb Motion and Steering Dynamic .........................................................  27 
1.2.6 Performance Index and Identification of the Driver’s Control Parameters   30 
1.3 Scope and Objective of the Dissertation .........................................................  32 
1.3.1 Objectives of the Dissertation Research ....................................................  34 
1.3.2 Organization of the Dissertation ................................................................  34 
CHAPTER 2 
RELATIVE PERFORMANCE ANALYSIS OF DRIVER MODELS 
2.1 Introduction .......................................................................................................  37 
2.2 Yaw-Plane Vehicle Model ................................................................................  38 
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2.3 Mathematical Formulations of the Selected Driver Control Strategies ......  43 
2.3.1 Compensatory Driver Model .....................................................................  44 
2.3.2 Preview Compensatory Driver Model .......................................................  47 
2.3.3 Anticipatory/Compensatory Driver Model ................................................  50 
2.4 Identification of Driver Models Control Parameters ....................................  52 
2.5 Sensitivity Analysis ...........................................................................................  54 
2.6 Results and Discussions ....................................................................................  56 
2.6.1 Influences of Variations in Vehicle Speed ................................................  56 
2.6.2 Influence of Variations in Vehicle Mass ...................................................  66 
2.6.3 Influence of Understeer Coefficient of the Vehicle ...................................  72 
2.7 Summary ...........................................................................................................  78 
2.8 Conclusion .........................................................................................................  79 
CHAPTER 3 
EXPERIMENTAL CHARACTERIZATION OF DRIVER CONTROL 
PROPERTIES 
3.1 Introduction .......................................................................................................  81 
3.2 Driving Simulator .............................................................................................  82 
3.2.1 Experiment Procedures .............................................................................  83 
3.2.2 Identification of Outliers ............................................................................  85 
3.3 Skill Classification ............................................................................................  86 
3.3.1 Maneuver Accomplishment .......................................................................  87 
3.3.2 Peak Steer Angle and Steer Rate ...............................................................  89 
3.3.3 Steer Angle and Steer Rate Crest Factors .................................................  93 
3.3.4 Steering Profile Area .................................................................................  96 
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3.3.5 Mean and Peak Speed Deviations from the Target Speed .........................  98 
3.3.6 Summary of the Skill Classification ..........................................................  99 
3.4 Measurement of the Braking and Steering Response Times ........................  100 
3.4.1 Abrupt Braking Maneuver .........................................................................  101 
3.4.2 Obstacle Avoidance Maneuver ..................................................................  102 
3.5 Results and Discussions ....................................................................................  103 
3.5.1 Braking Response Time .............................................................................  103 
3.5.2 Steering Response Time ............................................................................  106 
3.6 Characterization of Drivers’ Control Properties ...........................................  108 
3.6.1 Peak Steer angle ........................................................................................  109 
3.6.2 Peak Steer Rate ..........................................................................................  111 
3.6.3 Coupled Driver-Vehicle responses - Clear Visual Situation .....................  113 
3.6.4 Coupled Driver-Vehicle responses - Restricted Visual Situation ..............  115 
3.7 Summary ...........................................................................................................  116 
CHAPTER 4 
DEVELOPMENT OF THE COUPLED DRIVER-VEHICLE MODEL 
4.1 Introduction .......................................................................................................  118 
4.2 Yaw-Plane Vehicle Models ...............................................................................  119 
4.3.1 Yaw-Plane Model of the Articulated Vehicle ...........................................  120 
4.3 Formulation of the Two-Stage Preview Driver Model ..................................  123 
4.3.1 Driver’s Perception and Prediction ……....................................................  123 
4.3.2 Two-stage Preview and Parameters Estimations .......................................  125 
4.3.3 Decision Making Process ..........................................................................  130 
4.4 Coupled Driver-Single-Unit Vehicle Model ...................................................  132 
viii
4.4.1 The Generalized Performance Index ........................................................  133 
4.4.2 Validation of the Coupled Driver-Vehicle Model - Clear Visual Field ...  135 
4.4.3 Validation of the Coupled Driver-Vehicle Model - Limited Visual Field   138 
4.5 Coupled Driver-Articulated Vehicle Model ...................................................  142 
4.6 Summary ...........................................................................................................  147 
CHAPTER 5 
IDENTIFICATION OF DRIVER’S CONTROL LIMITS 
5.1 Introduction .......................................................................................................  148 
5.2 Identification of the Driver’s Control Parameters ........................................  149 
5.3 Sensitivity Analysis - Driver Model Parameters ............................................  152 
5.4 Sensitivity Analysis - Variations in Speed and Vehicle Design Parameters    155 
5.5 Identification of Control Limits of the Driver ...............................................  159 
5.5.1 Variations of the Forward Speed ...............................................................  160 
5.5.2 Variations in Tractor Design Parameters ……….......................................  165 
5.5.3 Variations in Semi-Trailer Design Parameters ……………......................  173 
5.6 Summary ...........................................................................................................  181 
CHAPTER 6 
IDENTIFICATION OF EFFECTIVE MOTION CUES PERCEPTION 
6.1 Introduction .......................................................................................................  183 
6.2 Perception of Different Vehicle States by the Human Driver ......................  184 
6.3 Identification of Effective Motion Cues Perception ………………………..  186 
6.3.1 Influence of Additional Feedback Cues - High Speed Driving ….............  187 
6.3.2 Influence of Additional Feedback Cues - Heavier Tractor Unit …………  193 
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6.3.3 Influence of Additional Feedback Cues - Longer Tractor Unit ………….  196 
6.3.4 Influence of Additional Feedback Cues - Higher Tractor Tandem Spread   198 
6.3.5 Influence of Additional Feedback Cues - Heavier Trailer Unit …………  200 
6.3.6 Influence of Additional Feedback Cues - Longer Trailer Unit …………..  203 
6.3.7 Influence of Additional Feedback Cues - Higher Trailer Tandem Spread   205 
6.4 Summary ...........................................................................................................  207 
CHAPTER 7 
CONCLUSIONS AND RECOMMENDATIONS 
7.1 Highlights and Major Contributions of the Dissertation Research .............  209 
7.2 Conclusions ........................................................................................................  211 
7.3 Recommendations for Future Studies ............................................................  213 
 
REFERENCES …………………………………………………………...............  216 
APENDIX A 
A.1 Yaw-Plane Model of the Single-Track Articulated Vehicle ….……….............  229 
A.2 Yaw-Plane Articulated Vehicle Model …………………………………...…...  211 
A.3 Simulation Results of Tire Cornering and Aligning Properties ………...……..  213 
 
   
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Description:compensation strategies for applications to heavy vehicles.  yaw-plane models of a single-unit vehicle and an articulated vehicle. Figure 1.10: Limb motion dynamics coupled with the steering system dynamics 28  [51] Myers J (2002) The effects of near and far visual occlusion upon a simulated.