Fuel to Air Ratio Controller

1
Fuel to Air Ratio Controller

• Team Members
• Hammad Abbasi
• Gurbinder Parmar
• Solomon Desta
• Madhav Khanna
• Sachna Bobal

2
Abstract

• Model-based control methods designed to meet
  future emission and diagnostic regulations has
  increased the need for engine models.
• Dynamic phenomena affecting the relationship
  between the sensed F/A output from the exhaust
  and the fuel-metering command at the input of
  carburetor are
• Intake fuel and air mixing
• Cycle delays due to the piston strokes in the
  engine
• The time required for the exhaust to travel from
  the engine to the sensor.

3
System Block Diagram
4
Controller Design

• Add proportional control improve Rise Time
• Add derivative control improve Overshoot
• Add integral control eliminate ess
• Initial Assumptions
• Linear sensor output

5
Padé approximation

• Laplace transform exp (-sTa)
• Pade approximates time delays by rational LTI
  models
• Such approximations useful model time delay
  effects
• MATLAB Syntax
• num,den pade(T,N)
• pade(T,N)
• sysx pade(sys,N)
• sysx pade(sys,NI,NO,Nio)
• NI(j) approximation order for the j-th input
  channel.
• NO(i) approximation order for the i-th output
  channel.
• Nio(i,j) approximation order for the I/O
  delay from input j to output i.