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Tushar Tambe
Reg. No:16MMT1034
M.Tech, SMBS, VIT
University,Chennai Campus
Design and Development of Vehicle
Active Suspension System Using
PID Controller
1
Under the supervision of
Dr.Saravanakumar D
SMBS, VIT University ,Chennai Campus
Introduction
A vehicle suspension system is a complex vibration system having multiple degrees of
freedom . The purpose of the suspension system is to isolate the vehicle body from the
road inputs.
 Suspension systems serve a dual purpose
Contributes to vehicle's
road handling and
braking for safety and
driving pleasure.
Cornering Braking
 Suspension should be soft against road disturbance and hard against load disturbance
Active suspension can provide better cornering and braking due to reduction in weight
transfer.
2
Motivation
3
Study of Suspension system aims at benefitting :
1. Ride stability of Vehicle
2. Ride Comfort for Passenger
3. Long Life of Vehicle
Parameters Passive Active
Regulator element General shock-
absorber
Hydraulic or
pneumatic or general
Action Principle Damping constant Adjust force between
wheel and vehicle
body
Control No Electronic
Dynamic
Characteristic
No High
Cost Low High
Energy consumption No Yes
Comparison
4
Courtesy: Vehicle Dynamics- IIT-H
Literature Review
PAPER STUDY
1. Y. M. Sam, M. R. Ab.Ghani, and N.
Ahmad. “LQR Controller For Active Car
Suspension”. Mechanical Journal of Control
and instrumentation. 2000, pp.I-441-I-444
An active suspension increased a tire to
road contact in order to make the vehicle
more stable.
It also provides better ride comfort and
ride handling
2. A .Kruczek and J. Honcu. “Active
Suspension-Case study on Robust
Control”. World Academy of Science,
Engineering and Technology, 2011
Active Suspension’s riding comfort and
handling can also be controlled by H-
infinity controllers.
3. Ahmed Elmarakbi, Chandrasekaran
Rengaraj, Alan Wheatley & Mustafa Elkady.
“The Influence of Electronic Stability
Control, Active Suspension, Driveline and
Front Steering Integrated System on the
Vehicle Ride and Handling”. Global
Journal of Researches in automotive
engineering,2013
Intelligent controllers such as fuzzy logic
have been implemented into the active
system.
This improves riding comfort of vehicle.
5
Literature Review
PAPER STUDY
4.Faraz Ahmed Ansari, Rajshree Taparia ,
“Modeling, Analysis and Control of Active
Suspension System using Sliding Mode
Control and Disturbance Observer” 2009
5th International Colloquium on Signal
Processing & Its Applications (CSPA)
Sliding control mode was implemented to
control vehicle stability
5.Andrew Alleyne and J. Karl Hedrick
“Nonlinear Adaptive Control of Active
Suspensions” IEEE transactions on control
systems technology, vol.1, no.1.march1995
A nonlinear sliding control law is applied
to an electro-hydraulic suspension system
6. M. Senthil, “Development of Active
Suspension System for Automobiles using
PID Controller,” vol. II, 2008
PID controller were used to stabilize the
vehicle by using step and sinusoidal using
transfer fuction.
6
Objectives
To develop PID control suspension system, which can
adapt to road roughness values.
To achieve
1. Stability of ride (Handling of car)
2. Passenger comfort.
7
1
• Developing Mathematical Model for Passive and Active Suspension
System
2
• Parametric determination of constant
3
• Actuator modeling
4
• Selection of Road inputs
5
• Implementation of mathematical modeling in Matlab/Simulink.
Methodology
8
Mathematical modeling(Passive System)
Passive Suspension System:
It is ordinary spring-damper
arrangement with constant spring
coefficient and damping coefficient
Notations Used:
Ms: Sprung Mass, Kg
Mus: Unsprung Mass, Kg
K1: Spring Stiffness, N/m
K2: Tire Stiffness, N/m
Ca: Damping coefficient, Ns/m
Xs: Vertical Sprung mass displacement, m
Xus: Vertical Unsprung mass displacement, m
Xr: Vertical road profile displacement, m
F: Force generated by actuator,N
9
For sprung mass:
Ms Xs + Ca (Xs - Xus) + K1 (Xs - Xus) =0 …. (1)
For unsprung mass:
Mus Xus + Ca (Xus -Xs) + K1 (Xus - Xs) + K2 (Xus – Xr) =0 .... (2)
Mathematical modeling(Active System)
For sprung mass:
Ms Xs + Ca (Xs - Xus) + K1 (Xs - Xus) = Fa
For unsprung mass:
Mus Xus + Ca (Xus -Xs) + K1 (Xus - Xs) + K2 (Xus – Xr) = -Fa
Here,
Fa = A1P1 – A2P2
Active Suspension System:
Fa : Actuator Force
A1: Area on piston
side
A2: Area on Piston rod
side
P1: Pressure on piston
side
P2: Pressure on Piston
rod side
10
Parameter Value
Sprung mass
(Ms )
250 kg
Unsprung mass
(Mus )
50 kg
Spring stiffness
(K1 )
18,600 N/m
Damping coefficient
(Ca )
1,000 Ns/m
Tire stiffness
(K2 )
196,000 N/m
Parametric Constant(1/4 Vehicle model)
Parameter Value
Area on piston side
(A1, D=50mm)
1.963µm2
Area on Piston rod
side (A2,d=10mm)
1.256µm2
Orifice area of spool
(ac , d=1mm)
3.14µm2
Adiabatic Index (K) 1.4
Length of Actuator
(l)
150mm
Suspension Data : Actuator Assumed Data :
11
Actuator Modeling
Actuator Mathematical Modeling
Notations Used:
Ms: Sprung Mass, Kg
Mus: Unsprung Mass, Kg
Mi: Mass Flow Rate, kg/s
Pi: Chamber Pressure, N/m2
Ca: Damping coefficient, Ns/m
Xa: Actuator displacement, m
Xr: Vertical road profile displacement, m
Fa: Force generated by actuator, N
R : Gas constant
V : Voltage, V
12
- -
Actuator Simulink Model
13
Matlab Simulink Model (Passive System)
14
Matlab Simulink Model (Active System)
15
Road Input Signals
Step Input Sine Input
White Noise Input
16
White Noise Road Input Signal
q(t) - Random road input signal;
- Filter lower-cut-off frequency;
- Road roughness coefficient,
w(t) - Gaussian white noise.
Random road input signal Road Level
A 16
B 64
C 256
D 1024
E 4096
F 16384
G 65536
H 262144
ISO 8608: Road Classification
According to
Actual White Noise Input
17
Simulation For Step Input
Unsprung mass acceleration Vs Time
Sprung mass acceleration Vs Time
Unsprung mass Displacement Vs Time
Sprung mass Displacement Vs Time
18
Simulation For Sine Input
Unsprung mass acceleration Vs Time
Sprung mass acceleration Vs Time
Unsprung mass Displacement Vs Time
Sprung mass Displacement Vs Time
19
Simulation For White Noise Input
Unsprung mass acceleration Vs Time
Sprung mass acceleration Vs Time
Unsprung mass Displacement Vs Time
Sprung mass Displacement Vs Time
20
Parameters
Overshoot Values
%ReductionPassive Active
Sprung mass
Displacement(m)
1.4593 0.2914 80.035
Sprung mass
Acceleration(m/s2)
18.4306 3.6950 79.95
Unsprung mass
Displacement(m)
1.5018 0.3005 79.99
Unsprung mass
Acceleration(m/s2)
22.2859 3.4500 84.51
Parameters
Peak Values
%ReductionPassive Active
Sprung mass
Displacement(m)
1.0781 0.2316 78.51
Sprung mass
Acceleration(m/s2)
23.650 11.84 49.93
Unsprung mass
Displacement(m)
1.0407 0.4066 60.93
Unsprung mass
Acceleration(m/s2)
25.144 13.50 52.58
Parameters
Peak Values
%ReductionPassive Active
Sprung mass
Displacement(m)
0.00624 0.00134 78.52
Sprung mass
Acceleration(m/s2)
0.0312 0.00632 79.74
Unsprung mass
Displacement(m)
0.00621 0.00134 78.42
Unsprung mass
Acceleration(m/s2)
0.0343 0.00634 81.51
STEP INPUT SINE INPUT
WHITE NOISE INPUT
Results
0
10
20
30
40
50
60
70
80
90
Sprung mass
Displacement
Sprung mass
Acceleration
Unsprung
mass
Displacement
Unsprung
mass
Acceleration
STEP INPUT SINE INPUT WHITE NOISE INPUT
REDUCTION IN PEAK VALUES
21
Conclusion
 The various observations made during the project clearly indicate that
the preference priority level for suspensions is
1: Active suspension
2:Passive suspension
 The results also indicated that a stability system is also required for
better overall performance of the vehicle.
22
Future Work
Improvement of the suspension system considering the
experience of real world
 Consider the dynamic behavior of suspension system and
tire deflection execution through fitting change.
23
24

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PNEUMATIC VEHICLE ACTIVE SUSPENSION SYSTEM USING PID CONTROLLER

  • 1. Tushar Tambe Reg. No:16MMT1034 M.Tech, SMBS, VIT University,Chennai Campus Design and Development of Vehicle Active Suspension System Using PID Controller 1 Under the supervision of Dr.Saravanakumar D SMBS, VIT University ,Chennai Campus
  • 2. Introduction A vehicle suspension system is a complex vibration system having multiple degrees of freedom . The purpose of the suspension system is to isolate the vehicle body from the road inputs.  Suspension systems serve a dual purpose Contributes to vehicle's road handling and braking for safety and driving pleasure. Cornering Braking  Suspension should be soft against road disturbance and hard against load disturbance Active suspension can provide better cornering and braking due to reduction in weight transfer. 2
  • 3. Motivation 3 Study of Suspension system aims at benefitting : 1. Ride stability of Vehicle 2. Ride Comfort for Passenger 3. Long Life of Vehicle
  • 4. Parameters Passive Active Regulator element General shock- absorber Hydraulic or pneumatic or general Action Principle Damping constant Adjust force between wheel and vehicle body Control No Electronic Dynamic Characteristic No High Cost Low High Energy consumption No Yes Comparison 4 Courtesy: Vehicle Dynamics- IIT-H
  • 5. Literature Review PAPER STUDY 1. Y. M. Sam, M. R. Ab.Ghani, and N. Ahmad. “LQR Controller For Active Car Suspension”. Mechanical Journal of Control and instrumentation. 2000, pp.I-441-I-444 An active suspension increased a tire to road contact in order to make the vehicle more stable. It also provides better ride comfort and ride handling 2. A .Kruczek and J. Honcu. “Active Suspension-Case study on Robust Control”. World Academy of Science, Engineering and Technology, 2011 Active Suspension’s riding comfort and handling can also be controlled by H- infinity controllers. 3. Ahmed Elmarakbi, Chandrasekaran Rengaraj, Alan Wheatley & Mustafa Elkady. “The Influence of Electronic Stability Control, Active Suspension, Driveline and Front Steering Integrated System on the Vehicle Ride and Handling”. Global Journal of Researches in automotive engineering,2013 Intelligent controllers such as fuzzy logic have been implemented into the active system. This improves riding comfort of vehicle. 5
  • 6. Literature Review PAPER STUDY 4.Faraz Ahmed Ansari, Rajshree Taparia , “Modeling, Analysis and Control of Active Suspension System using Sliding Mode Control and Disturbance Observer” 2009 5th International Colloquium on Signal Processing & Its Applications (CSPA) Sliding control mode was implemented to control vehicle stability 5.Andrew Alleyne and J. Karl Hedrick “Nonlinear Adaptive Control of Active Suspensions” IEEE transactions on control systems technology, vol.1, no.1.march1995 A nonlinear sliding control law is applied to an electro-hydraulic suspension system 6. M. Senthil, “Development of Active Suspension System for Automobiles using PID Controller,” vol. II, 2008 PID controller were used to stabilize the vehicle by using step and sinusoidal using transfer fuction. 6
  • 7. Objectives To develop PID control suspension system, which can adapt to road roughness values. To achieve 1. Stability of ride (Handling of car) 2. Passenger comfort. 7
  • 8. 1 • Developing Mathematical Model for Passive and Active Suspension System 2 • Parametric determination of constant 3 • Actuator modeling 4 • Selection of Road inputs 5 • Implementation of mathematical modeling in Matlab/Simulink. Methodology 8
  • 9. Mathematical modeling(Passive System) Passive Suspension System: It is ordinary spring-damper arrangement with constant spring coefficient and damping coefficient Notations Used: Ms: Sprung Mass, Kg Mus: Unsprung Mass, Kg K1: Spring Stiffness, N/m K2: Tire Stiffness, N/m Ca: Damping coefficient, Ns/m Xs: Vertical Sprung mass displacement, m Xus: Vertical Unsprung mass displacement, m Xr: Vertical road profile displacement, m F: Force generated by actuator,N 9 For sprung mass: Ms Xs + Ca (Xs - Xus) + K1 (Xs - Xus) =0 …. (1) For unsprung mass: Mus Xus + Ca (Xus -Xs) + K1 (Xus - Xs) + K2 (Xus – Xr) =0 .... (2)
  • 10. Mathematical modeling(Active System) For sprung mass: Ms Xs + Ca (Xs - Xus) + K1 (Xs - Xus) = Fa For unsprung mass: Mus Xus + Ca (Xus -Xs) + K1 (Xus - Xs) + K2 (Xus – Xr) = -Fa Here, Fa = A1P1 – A2P2 Active Suspension System: Fa : Actuator Force A1: Area on piston side A2: Area on Piston rod side P1: Pressure on piston side P2: Pressure on Piston rod side 10
  • 11. Parameter Value Sprung mass (Ms ) 250 kg Unsprung mass (Mus ) 50 kg Spring stiffness (K1 ) 18,600 N/m Damping coefficient (Ca ) 1,000 Ns/m Tire stiffness (K2 ) 196,000 N/m Parametric Constant(1/4 Vehicle model) Parameter Value Area on piston side (A1, D=50mm) 1.963µm2 Area on Piston rod side (A2,d=10mm) 1.256µm2 Orifice area of spool (ac , d=1mm) 3.14µm2 Adiabatic Index (K) 1.4 Length of Actuator (l) 150mm Suspension Data : Actuator Assumed Data : 11
  • 12. Actuator Modeling Actuator Mathematical Modeling Notations Used: Ms: Sprung Mass, Kg Mus: Unsprung Mass, Kg Mi: Mass Flow Rate, kg/s Pi: Chamber Pressure, N/m2 Ca: Damping coefficient, Ns/m Xa: Actuator displacement, m Xr: Vertical road profile displacement, m Fa: Force generated by actuator, N R : Gas constant V : Voltage, V 12 - -
  • 14. Matlab Simulink Model (Passive System) 14
  • 15. Matlab Simulink Model (Active System) 15
  • 16. Road Input Signals Step Input Sine Input White Noise Input 16
  • 17. White Noise Road Input Signal q(t) - Random road input signal; - Filter lower-cut-off frequency; - Road roughness coefficient, w(t) - Gaussian white noise. Random road input signal Road Level A 16 B 64 C 256 D 1024 E 4096 F 16384 G 65536 H 262144 ISO 8608: Road Classification According to Actual White Noise Input 17
  • 18. Simulation For Step Input Unsprung mass acceleration Vs Time Sprung mass acceleration Vs Time Unsprung mass Displacement Vs Time Sprung mass Displacement Vs Time 18
  • 19. Simulation For Sine Input Unsprung mass acceleration Vs Time Sprung mass acceleration Vs Time Unsprung mass Displacement Vs Time Sprung mass Displacement Vs Time 19
  • 20. Simulation For White Noise Input Unsprung mass acceleration Vs Time Sprung mass acceleration Vs Time Unsprung mass Displacement Vs Time Sprung mass Displacement Vs Time 20
  • 21. Parameters Overshoot Values %ReductionPassive Active Sprung mass Displacement(m) 1.4593 0.2914 80.035 Sprung mass Acceleration(m/s2) 18.4306 3.6950 79.95 Unsprung mass Displacement(m) 1.5018 0.3005 79.99 Unsprung mass Acceleration(m/s2) 22.2859 3.4500 84.51 Parameters Peak Values %ReductionPassive Active Sprung mass Displacement(m) 1.0781 0.2316 78.51 Sprung mass Acceleration(m/s2) 23.650 11.84 49.93 Unsprung mass Displacement(m) 1.0407 0.4066 60.93 Unsprung mass Acceleration(m/s2) 25.144 13.50 52.58 Parameters Peak Values %ReductionPassive Active Sprung mass Displacement(m) 0.00624 0.00134 78.52 Sprung mass Acceleration(m/s2) 0.0312 0.00632 79.74 Unsprung mass Displacement(m) 0.00621 0.00134 78.42 Unsprung mass Acceleration(m/s2) 0.0343 0.00634 81.51 STEP INPUT SINE INPUT WHITE NOISE INPUT Results 0 10 20 30 40 50 60 70 80 90 Sprung mass Displacement Sprung mass Acceleration Unsprung mass Displacement Unsprung mass Acceleration STEP INPUT SINE INPUT WHITE NOISE INPUT REDUCTION IN PEAK VALUES 21
  • 22. Conclusion  The various observations made during the project clearly indicate that the preference priority level for suspensions is 1: Active suspension 2:Passive suspension  The results also indicated that a stability system is also required for better overall performance of the vehicle. 22
  • 23. Future Work Improvement of the suspension system considering the experience of real world  Consider the dynamic behavior of suspension system and tire deflection execution through fitting change. 23
  • 24. 24