ELEC 460 (1 1/2) CONTROL THEORY AND SYSTEMS II

• Syllabus:

  Sampling in Control Systems. The z-transform and response between sampling instants. Analysis of sampled data systems and stability testing. State-space analysis and design of continuous and discrete systems. Controllability, observability and zero input stability analysis. Pole placement techniques. (Prerequisite: 360)

• Classes:

  Mondays and Thursdays, 8:30- 9:45 am, ECS 108.

• Demos:

  Demo 1: Monday, February 6, 2012, 8:30 am - 9:45 am; ELW A359.

  Problem for Demo #1:
  Design a digital compensator for an open loop system G(s)=K/[s(s+a)] with a=3.4, K=120.52, T=0.05495 so that Kv=15 and phase margin > 45 deg.
  

• Mid-term:

  Monday, February 20, 2012.
  Two pages (a page is one side of a sheet) of notes and copies of tables (2.1 and 2.2) permittted.

• Assignments
• Copies of Transparencies
• Assessment Techniques
• Religious Observances
• Commitment to Inclusivity and Diversity
• Standards for Professional Behaviour

Assignments

Assignments can be handed in at the end of the class on the due date,
or in the drop box in the 2nd floor (next to the elevator) of ELW until 4:30 pm on the due date.

Corrected Assignments can be found in front of EOW 423.

Assignment #1 (Due Monday, Jan 16, 2012) :

Problem: Consider the unity negative feedback system with G(s)=20*K/[s(s+1)(s+20)].
1. Sketch the root locus.
2. Find Kv.
3. Sketch Bode and Nyquist plots.
4. Find K so that zeta=sqrt(2)/2 for the closed loop system.
5. Find phase and gain margins for this K.
6. Sketch the step and ramp responces of the closed loop system for this K.
7. Discuss the connection between Kv, zeta, margins and the responce of the closed loop system.
For the solution in pdf format, Click here.

Assignment #2 (Due Monday, Jan 23, 2012) :

Questions B-2-6, B-2-7, B-2-12, B-2-17 from the textbook.
For the solution in pdf format, Click here.

Assignment #3 (Due Monday, January 30, 2012) :

Problem 1: Sample the two signals x1(t)=sin(2*pi*3*t) and x2(t)=sin(2*pi*0.3*t) with sampling period T=0.2.
Sketch the spectrum of the continuous signal, the spectrum of the sampled one and the reconstructed signal obtained by ideal lowpass filtering of the sampled signal. Confirm your results with Matlab. For a .m file, Click here.

Questions B-3-4, B-3-6, B-3-7, B-3-15, B-3-19 from the textbook.

For the solution in pdf format, Click here.

Assignment #4 (Due Monday, February 6, 2012) :

Questions B-3-20, B-4-4, B-4-8, B-4-12 from the textbook.
For the solution in pdf format, Click here.

Assignment #5 (REVISED: Monday, February 20, 2012) :

• Study Examples 7.26 and 7.27 form K. Ogata, "Modern Control Engineering" and Example 4-12 from K. Ogata, "Discrete Time Control Systems".
  The .m files ex_4_12.m, lead.m, lag.m and ex_4_12.out are helpful for this.

• Solve questions B-4-10 (Use PI control)and B-4-15 from the textbook.
  The .m files ass_5.m, lead.m, lag.m, and ass_5.out are helpful for compensator design B-4-15.
  

ASSESSMENT TECHNIQUES

Office Hours:

	Days	:Wednesdays
	Time	: 10:00 am - Noon
	Location	: EOW 423, 721-8618

Lectures:

	Section(s)	: AO1/CRN 21081
	Days	: Mondays and Thursdays
	Time	: 8:30 - 10:00 am
	Location	: ECS 108

Texts: 1. Required

	Title	: Discrete Time Control Systems, 2nd Edition
	Author	: K. Ogata
	Publisher	: Prentice-Hall
	Year	: 1995

2. Recommended

	Title	: MATLAB student Version
	Publisher	: The MathWorks
	NOTE:	You will also need to buy the Control Toolbox from MathWorks on line.
	See also	http://www.mathworks.com/products/education/student_version/sc/

Assessment:

	Assignments	: 5%
	Mid-term	: 35% Monday, February 20, 2012
	Final	: 60%

Graduate students can opt for the following:

	Assignments	: 5%
	Project	: 20%
		Proposal due February 21, 2012
		Report due day of final exam
	Mid-term	: 25% Monday, February 20, 2012
	Final	: 50%

The final grade obtained from the above marking scheme will be based on the following percentage-to-grade point conversion:

	90	<=	A+	<=	100
	85	<=	A	<	90
	80	<=	A-	<	85
	75	<=	B+	<	80
	70	<=	B	<	75
	65	<=	B-	<	70
	60	<=	C+	<	65
	55	<=	C	<	60
	50	<=	D	<	55
	35	<=	E	<	50	Fail, conditional supplemental exam
			F	<	35	Fail, no supplemental exam
			N			Fail, did not write examination or
						otherwise complete course requirements
						by the end of the term or session,
						no supplemental exam

Guidelines on Religious Observances

1. Where classes or examinations are scheduled on the holy days of a religion, students may notify their instructors, at least two weeks in advance, of their intention to observe the holy day(s) by absenting themselves from classes or examinations.

2. Instructors will provide reasonable opportunities for such students to make up work or missed examinations.

3. Students will cooperate by accepting the provision of reasonable opportunities for making up work or missed examinations.

4. The University Secretary's Office will distribute a multi-faith calendar to each academic unit annually.

Commitment to Inclusivity and Diversity

The University of Victoria is commited to promoting, providing and protecting a positive, supportive and safe learning and working enviroment for all its members.

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Standards for Professional Behaviour

You are advised to read the Faculty of Engineering document Standards for Professional Behaviour (http://www.engr.uvic.ca/policy/professional-behaviour.html) which contains important information regarding conduct in courses, in labs and in the general use of facilities.

Cheating, plagiarism and other forms of academic fraud are taken very seriously by both the University and the Department. You should consult http://web.uvic.ca/calendar2005/FACS/UnIn/UARe/PoAcI.html the UVIc policy on academic integrity.

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Continuously modified: January-March, 2012.