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Automatic Control II
A course in modern control
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Notes:
The course notes in PDF
format can be obtained from here.
The course is comprised of the following topics:
- Topic 1: Introduction to State Space Modelling
- Topic 2: Lagrangian Mechanics
- Topic 3: Linearisation of Non-linear Differential Equations
- Topic 4: More State Space Modelling
- Topic 5: Modelling Multiple DOF Systems
- Topic 6: Modelling Distributed Parameter Systems
- Topic 7: Conversion between SS to TF and back again
- Topic 8: Solution to state equations, poles, zeros and stability
- Topic 9: Controllability and Observability
- Topic 10: Feedback Control & Pole Placement
- Topic 11: Optimal Control (LQR)
- Topic 12: Observers (Estimators)
- Topic 13: Optimal Observers (Kalman-Bucy Filters, LQG)
- Topic 14: Reduced Order Observers
- Topic 15: Compensators
- Topic 16: Reference Input & Command Tracking
Examples to Accompany
Notes:
Webinars:
- Introduction: The webinar for the Introductory slides can
be
found in 800x600
SWF format or the 800x600
MP4 (5.7MB) video only. A 320x240
M4V iPod format (6.9MB) is also available.
- Topic 1: The webinar for the Topic 1 slides can be found
in 800x600
SWF format or the 800x600
MP4 (42.9MB) video only. A 320x240
M4V iPod format (57.8MB) is also available.
- Topic 2: The webinar for the Topic 2 slides can be found
in 800x600
SWF format or the 800x600
MP4 (34MB) video only. A 320x240
M4V iPod format (48MB) is also available.
Errata: Example 2 with gravity spring (page 56), the final differential equation should be m\ddot{y} + b\dot{y} + ky = F + mg (and not -mg). The state input matrix for gravity should be [0; 1] (and not [0; -1]).
Example 5 on slide 69, equation L = T - V. I have written it wrongly as T + V. In other words, the last term should be -m*g*L*( 1 - cos(theta) ) not +m*g*L*( 1 - cos(theta) ). However it does not affect the rest of the solution as I wrote the correct one in Lagrange's Equations.
- Topic 3: The webinar for the Topic 3 slides can be found
in 800x600
SWF format or the 800x600
MP4 (33MB) video only. A 320x240
M4V iPod format (48MB) is also available.
Errata: The angular momentum of the pendulum in "Example: Linearisation of pendulum dynamics" should have the length term square, ie it should be m*l^2*\dot(theta) and not m*l*\dot(theta).
- Topic 4: The webinar for the Topic 4 slides can be found
in 800x600
SWF format or the 800x600
MP4 (39MB) video only. A 320x240
M4V iPod format (53MB) is also available.
Errata: In the Hydraulic example, slide 126; the state matrix A should be negative (but is written as positive). It has to be negative as the pole must be stable (negative), which then makes it consistent with the previous slide and the block diagram on slide 127.
- Topic 5: The webinar for the Topic 5 slides can be found
in 800x600
SWF format or the 800x600
MP4 (61MB) video only. A 320x240
M4V iPod format (78MB) is also available.
Errata: When drawing the block diagram on slide 160, the gain fedback from the high frequency state should be -sqrt(3k/m) not -sqrt(-3k/m). All gains are supposed to be entirely real in this form!
- Topic 6: The webinar for the Topic 6 slides can be found
in 800x600
SWF format or the 800x600
MP4 (39MB) video only. A 320x240
M4V iPod format (45MB) is also available.
Errata: On page 171, when drawing the final response of the string, the displacement of right hand side of the string is drawn showing it goes down to -0.2 but really it should be 0.2.
- Topic 7: The webinar for the Topic 7 slides can be found
in 800x600
SWF format or the 800x600
MP4 (69MB) video only. A 320x240
M4V iPod format (75MB) is also available.
- Topic 8: The webinar for the Topic 8 slides can be found
in 800x600
SWF format or the 800x600
MP4 (55MB) video only. A 320x240
M4V iPod format (71MB) is also available.
Errata: Final example. On page 270 there's some major typos in the 3 simultaneous equations. Please see hand written notes for correct expressions:
http://www.mecheng.adelaide.edu.au/~bscazz/Auto_II/Examples/Topic8.pdf
- Topic 9: The webinar for the Topic 9 slides can be found
in 800x600
SWF format or the 800x600
MP4 (41MB) video only. A 320x240
M4V iPod format (48MB) is also available.
Errata: Slide 284 (first slide of example 5). For the DE describing x2 double dot should be +F/m2 instead of -F/m2? When writing it in SS form on the next slides it is correctly written as +1/m2.
- Topic 10: The webinar for the Topic 10 slides can be found
in 800x600
SWF format or the 800x600
MP4 (64MB) video only. A 320x240
M4V iPod format (81MB) is also available.
Please note that the audio quality in the first half of the webinar is very poor. I don't know what happened and apologise. I do plan to rerecord but this won't be for some time.
- Topic 11: The webinar for the Topic 11 slides can be found
in 800x600
SWF format or the 800x600
MP4 (64MB) video only. A 320x240
M4V iPod format (81MB) is also available.
- Topic 12: The webinar for the Topic 12 slides can be found
in 800x600
SWF format or the 800x600
MP4 (40MB) video only. A 320x240
M4V iPod format (46MB) is also available.
- Topic 13: The webinar for the Topic 13 slides can be found
in 800x600
SWF format or the 800x600
MP4 (43MB) video only. A 320x240
M4V iPod format (53MB) is also available.
- Topic 14: The webinar for the Topic 14 slides can be found
in 800x600
SWF format or the 800x600
MP4 (25MB) video only. A 320x240
M4V iPod format (30MB) is also available.
- Topic 15: The webinar for the Topic 15 slides can be found
in 800x600
SWF format or the 800x600
MP4 (46MB) video only. A 320x240
M4V iPod format (59MB) is also available.
- Topic 16: The webinar for the Topic 11 slides can be found
in 800x600
SWF format or the 800x600
MP4 (29MB) video only. A 320x240
M4V iPod format (36MB) is also available.
Errata: For the question "Consider the plant G(s) = 1/(s+0.25). What would the reference gain N be to achieve command tracking."
The answer that is accepted as correct is 4, however the reference gain N is the inverse of the dc gain, meaning that the answer should be 0.25!
Case Studies:
There are 5 case studies that accompany this course, which form the
basis of 13 tutorials. These are:
Contact Details:
Telephone
: +61-(0)8 8303 5449
Fax : +61-(0)8 8303 4367
Email: benjamin.cazzolato@adelaide.edu.au
This page was created by Ben Cazzolato on
Friday, 21 June, 2009
Most recent revision 14th August, 2009