Matlab Tutorials Index
Home
About the tutorials
- Conventions used in the tutorials
- About the authors
- More about automatic control
- Copyright
-
Matlab Basics
- Vectors
- Functions
- Plotting
- Polynomials
- Matrices
- Using M-files in Matlab
- Getting help in Matlab
-
Modeling
- Train system
- Free body diagram and Newton's law
- State-variable and output equations
- Matlab representation
- Examples: Cruise Control,
Motor Speed,
Motor Position,
Bus Suspension,
Inverted Pendulum,
Pitch Controller,
Ball & Beam
-
PID
- Introduction
- The three-term controller
- Characteristics of P, I, and D controllers
- Open-loop step response
- Proportional control
- PD control
- PI control
- PID control
- General tips for designing a PID controller
- Examples: Cruise Control,
Motor Speed,
Motor Position,
Bus Suspension,
Inverted Pendulum,
Pitch Controller,
Ball & Beam
-
Root Locus
- Closed-loop poles
- Plotting the root locus of a transfer function
- Choosing a value of K
- Closed-loop response
- Examples: Cruise Control,
Motor Speed,
Motor Position,
Bus Suspension,
Inverted Pendulum,
Pitch Controller,
Ball & Beam
-
Frequency Response
- Bode plot
- Gain and phase margin
- Bandwidth frequency
- Closed-loop performance
- Nyquist diagram
- Examples: Cruise Control,
Motor Speed,
Motor Position,
Bus Suspension,
Inverted Pendulum,
Pitch Controller,
Ball & Beam
-
State Space
- State-space equations
- Control design using pole placement
- Introducing the reference input
- Observer design
- Examples: Cruise Control,
Motor Speed,
Motor Position,
Bus Suspension,
Inverted Pendulum,
Pitch Controller,
Ball & Beam
-
Digital Control
- Introduction
- Zero-order hold equivalence
- Conversion using c2dm
- Stability and transient response
- Discrete root-locus
- Examples: Cruise Control,
Motor Speed,
Motor Position,
Bus Suspension,
Inverted Pendulum,
Pitch Controller,
Ball & Beam
-
Examples
Cruise Control
- Modeling |
PID |
Root Locus |
Frequency Response |
State Space |
Digital Control
- Motor Speed
- Modeling |
PID |
Root Locus |
Frequency Response |
State Space |
Digital Control
- Motor Position
- Modeling |
PID |
Root Locus |
Frequency Response |
State Space |
Digital Control
- Bus Suspension System
- Modeling |
PID |
Root Locus |
Frequency Response |
State Space |
Digital Control
- Inverted Pendulum
- Modeling |
PID |
Root Locus |
Frequency Response |
State Space |
Digital Control
- Pitch Controller
- Modeling |
PID |
Root Locus |
Frequency Response |
State Space |
Digital Control
- Ball & Beam
- Modeling |
PID |
Root Locus |
Frequency Response |
State Space |
Digital Control
-
Animation
- Bus Suspension
- Inverted Pendulum
- Pitch Controller
- Ball & Beam
-
Commands
-
Extras
- Conversions
- dstep and stairs
- Difference equations and system
representations
- Digital lead and lag
- Digital steady-state error
- Discrete pole locations and transient
response
- Functions
- jgrid |
lnyquist1 |
nyquist1 |
polyadd |
rscale |
sigrid |
wbw
- Lagging effect associated with the hold
- Lead/lag
- lsim
- mfile
- Notch filter
- plot
- PID Bilinear Approximation
- Pole/zero cancelation
- step
- Steady-state error
- Tutorials
-
Basics |
Modeling |
PID |
Root Locus |
Frequency Response |
State Space |
Digital Control |
Examples
8/12/97 CJC
