ECE 581 // Digital Control of Dynamic Systems (Spring 2008)

**Homework Assignment #10**

assigned: Wednesday, 7th May 2008

due: 5pm Tuesday, 13th May 2008

**H32)** (All teams) FPE 9.18(a)

Note: (i) Find those values of
*N*, *h*, *B* and *a *such that limit cycles exist.

(ii) Verify values in (i) via Simulink simulations

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**Homework Assignment #9**

assigned: Monday, 28th April 2008

due: Friday, 2nd May 2008

**H27)** (PIDs
only) FPE 9.1

**H28)** (The Aliased
only) FPE 9.2

**H29)** (Phase Margins
only) FPE 9.3

**H30)** (Time Delay
only) FPE 9.4

**H31)** (Harmonic Balancers
only) FPE 9.7

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**Homework Assignment #8**

assigned: Friday 11th April, 2008

due: Friday 18th April 2008

**H23)** (Harmonic Balancers
only) FPE
8.10

**H24)** (The Aliased
only) FPE 8.11

**H25)** (Time Delay
only) FPE
8.12

**H25)** (Phase Margins
only) FPE 8.13

**H26)** (PIDs
only) FPE 8.14

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**Homework Assignment #7**

assigned: Monday 31st March, 2008

due: Monday 7th April 2008

modification: Saturday
5th April 2008: **
skip H21**

**H19)** (Time Delay) FPE 8.5
(Tustin's method only)

**H20)** (all teams) FPE 8.6
(Tustin's method only)

**H21)** (all teams) FPE 8.8
(Tustin's method only)

**H22)** Return to HW #5 and
now implement your final control system using computer control. Use a
sampling period for which the rule-of-thumb is satisfied; i.e., ω_{s} >
20ω_{BW}.

** - **
(Harmonic Balancers only) FPE
6.51

- (PIDs only) FPE 6.54

** - **
(The Aliased only) FPE 6.58

- (Phase Margins only) FPE 6.67

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**Homework Assignment #6**

assigned: Monday 24th March, 2008

due: Wed 26th March, 2008

**H15)** (PIDs only) FPE 8.4
(properties 1 and 2)

**H16)** (The Aliased only) FPE 8.4 (properties 3 and 4)

**H17) **(Phase Margins only) FPE
8.4 (properties 5 and 6)

**H18)** (Harmonic Balancers only) FPE
8.4 (properties 7 and 8)

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**Homework Assignment #5**

assigned: Friday 29 February, 2008

due: Friday 7th March, 2008

**H11)** (Harmonic Balancers only) FPE
6.51

**H12)** (PIDs only) FPE 6.54

**H13)** (The Aliased only) FPE 6.58

**H14) **(Phase Margins only) FPE
6.67

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**Homework Assignment #4**

assigned: Wednesday 20 February, 2008

due: Wednesday 27th February, 2008

**H7)** (Phase Margins) FPE 6.45

**H8)** (Harmonic Balancers) FPE 6.47

**H9)** (The Aliased) FPE 6.48

**H10)** (PIDs) FPE 6.49

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**Homework Assignment #3**

assigned Friday 8th February, 2008

~~due: Friday 15th February, 2008~~

due: Monday 18th February, 2008

**H3)** (PIDs) FPE 6.19 a-c

**H4)** (Phase Margins) FPE 6.20

**H5)** (Harmonic Balancers) FPE 6.23

**H6)** (The Aliased) FPE 6.24 a-d

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**Homework Assignment #2**

assigned: Wed 30th January, 2008

due:
Friday 8 February, 2008

**H2)** Using the archives of the IEEE Control System Magazine, select an
application of a feedback control system. Summarize and describe this
application to the class via PowerPoint slides.

Exploring the IEEE Control System Magazine on-line: Past issues of the IEEE
Control System Magazine can be viewed (and printed from) on-line:

UMass home page > Libraries > E-Journals > IEEE Control Systems.

Explore the magazine (issues range back from 1988), and select an article (a
feedback control application) that is of interest. For example, the most recent
issue (Feb 2008) has article starting on page 20 on Stabilization for Film and
Broadcast Cameras.

Prepare PowerPoint slides: For 8th February class, prepare (at least three)
PowerPoint slides describing the application. For example:

**Slide #1: **

ECE 581

date

your name

citation of IEEE Control System Magazine article

**Slide #2:** describes application using bullets and pictures

**Slide #3:** expresses the feedback control application using a feedback
control block diagram.

**
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**Homework Assignment #1**

assigned: Wed 30th January, 2008

due: Friday 1 February, 2008

**H1) **For the following
transfer function (which we may consider as an example of a plant, compensator
or closed-loop transfer function)

T(s) =

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create its Bode magnitude and phase plot:

1) using Matlab

2) by sketching the composite low and high frequency magnitude (phase)
components. You will be asked to reproduce and discuss this sketch on the
blackboard in front of class.