EE 572
Final Objectives
At the completion of EE572, you should be able to
perform the following objectives:
Exam I Objectives:
- Do all EE422 objectives
- List the advantages of digital control
- Model processes using discrete state variables
- Evaluate fixed point and floating point numbers
- Understand and model the process of sampling
(including the sampling theorem)
- Understand quantization and its effects
- Understand encoding
- Understand the A/D and D/A (signal conversion)
process
- Derive the Z-transform from the Laplace transform
- Derive the important properties of the Z-transform
- Evaluate the inverse Z-transform using long division
- Define a mapping between the Z-plane and the
S-plane
- Derive the bilinear transform from a trapezoidal
integrator
- Obtain digital controllers using bilinear transformations
or invariant techniques
- Prove that such techniques maintain stability
- Know 2 ways to discretize continuous models and
which method is preferred and why
- Know the relationship between the eigenvectors
and eigenvalues of
and A
- Solve the discrete state variable equation using
both time and frequency domain techniques
- Find the discrete state transition matrix
3 ways
- Decouple discrete state variable models and draw
simulation diagrams to determine controllability and observability
- Define controllability for discrete systems from
a state feedback point of view
- Design feedback regulators and controllers to
meet transient response specifications for a discrete multi-input
controllable system.
- Stabilize discrete multi-input stabilizable systems.
- Design full-order observers, improved observers,
and reduced-order observers for discrete multi-input detectable
systems.
- Develop C programs to implement digital filters,
controllers, and observers
Exam II Objectives:
- Derive and use the bilinear transform
- Find a model for the sample-and-hold process
in the s-plane and the Z-plane (make sure to divide by Ts!)
- Determine Z-plane regions to meet transient specifications
- Determine system type number in both the s-plane
and the Z-plane
- Define Kp, Kv, Ka
in the S-plane and the Z-domain
- Obtain models for discrete systems from either
time or frequency responses
- Perform root locus lead compensation on sampled
data systems in either the Z-plane or the s-plane
- Perform root locus lag compensation on sampled
data systems in either the Z-plane or the s-plane
- Perform root locus PID compensation on sampled
data systems in either the Z-plane or the s-plane
- Derive the W-plane transformation
- Perform frequency compensation on sampled data
systems in either the W-plane or the s-plane
- Determine the effects of sampling time on stability
of 2nd order systems from both a time domain and root-locus point
of view
- Measure gain and phase margins both theoretically
and from a bode plot
- Design controllers/compensators to meet the following
criteria:
- Steady-state error specifications
- Transient specifications (overshoot, settling
time, etc.)
- Frequency specifications (gain and phase margins)
Post-Exam II Objectives:
- Design controllers/compensators to perform disturbance
rejection tasks
- Design and implement microcontrollers for real-world
systems
- Understand PLCs and their uses
- Develop and implement ladder logic programs