## MEC E 420 Feedback Control Design of Dynamic Systems **Subject & Number:** MEC E 420 **Title:** Feedback Control Design of Dynamic Systems **Course Career** **Units**: 3 **Approved Hours:** 3-0-3/2 **Fee index:** 8 **Faculty:** [Faculty of Engineering]{.mark} **Department:** Mechanical Engineering **Typically Offered:** either term or Spring/Summer ### Calendar Description Design of linear feedback control systems for command-following error, stability, and dynamic response specifications. PID, Root-locus, frequency response and design techniques. State Space methods. Examples emphasizing Mechanical Engineering systems. Some use of computer aided design with MATLAB/Simulink. Controls Lab - control of mechanical systems. Prerequisites: MEC E 390. Credit can only be granted for one of MEC E 420, ECE 362, CH E 448. ### Course Objectives & General Content The course will cover the following sequence of topics, each corresponding to a chapter of the course notes: 1: Introduction to Feedback Control 2: Mathematical Models of Systems 3: Linear Systems Theory 4: System Stability and Closed-Loop Control 5: Graphical Methods 6: Frequency Response Design ### Learning outcomes 1. Describe the basic properties of feedback control systems 2. Obtain models of dynamical systems in the time and frequency domain for use in feedback control designs 3. Analyze linear feedback systems for stability and relate time response to the S-plane 4. Design feedback control systems using PID tuning, frequency response and state space methods 5. Use appropriate software tools for design and analysis of feedback systems ### Textbooks and References Mec E 420 electronic course notes - available for viewing online (see eClass for link) or purchase a printed copy from U of A bookstore (also see eClass for link). [Recommended:]{.underline} Franklin, Powell, Emami-Naeini: Feedback Control of Dynamic Systems, 8th ed. Pearson, 2019. A copy is available at the Reserve Desk of Cameron Library. ### Assessment Details +-------------------+----------------------+---------------------+--------------+ | > **Activity** | > **(A)Synchronous** | > **Due/Scheduled** | > **Weight** | +-------------------+----------------------+---------------------+--------------+ | > Assignments | > Asynchronous | > See Page 4 | > 10% | | > (best 8 of 9) | | | | +-------------------+----------------------+---------------------+--------------+ | > Labs (total of | > Synchronous | > See Page 4 | > 10% | | > 4) | | | | +-------------------+----------------------+---------------------+--------------+ | > Midterm | > Synchronous | > Friday, Oct 27, | > 30% | | | | > | | | | | > 1-1:50pm | | | | | > (in-class) | | +-------------------+----------------------+---------------------+--------------+ | > Final | > Synchronous | > Thursday, Dec 14, | > 50% | | | | > 2pm-5pm | | | | | > (tentative) | | +===================+======================+=====================+==============+ ### Course Accreditation Units The current total and individual Accreditation Unit (AU) counts for this course are: ----------------------------------------------------------------- **Total** **Math** **NS** **ES** **ED** **CS** ------------ ------------ -------- ---------- ---------- -------- 47.3 35.4 11.8 ----------------------------------------------------------------- ### ### Course Graduate Attributes The Graduate Attributes (GAs) developed in this course are: ------------------------------------------------------------ \# Graduate Attribute Level (I, D, A) ----- ------------------------------------------ ----------- 1 A knowledge base for engineering (KB): A 2 Problem analysis (PA): A 3 Investigation (IN): A 4 Design (DE): D 5 Use of engineering tools (ET): A 6 Individual and team work (TW): 7 Communication skills (CS): 8 Professionalism (PR): 9 Impact of engineering on society and the environment (IS): 10 Ethics and equity (EE): 11 Economics and project management (EP): 12 Life-long learning (LL): ------------------------------------------------------------ ### ### Course Schedule +----+-----------+--------------+-------------+-------------+-------------+-------------+ | | > Week | > Monday | > Tuesday | > Wednesday | > Thursday | > Friday | | | > Dates | | | | | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 1 | Sep 4-Sep | Labour day | | First | | | | | 8 | | | lecture | | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 2 | Sep | | | | | | | | 11-Sep 15 | | | | | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 3 | Sep | | | | A1 posted | | | | 18-Sep 22 | | | | | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 4 | Sep | | | | A1 due | | | | 25-Sep 29 | | | | | | | | | | | | A2 posted | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 5 | Oct 2-Oct | | | | A2 due | | | | 6 | | | | | | | | | | | | A3 posted | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 6 | Oct 9-Oct | Thanksgiving | | | A3 due | | | | 13 | | | | | | | | | | | | A4 posted | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 7 | Oct | | | | A4 due | | | | 16-Oct 20 | | | | | | | | | | | | A5 posted | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 8 | Oct | | | | A5 due | Midterm | | | 23-Oct 27 | | | | | | | | | | | | | 1pm-1:50pm | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 9 | Oct | Lab #1 | | | A6 posted | | | | 30-Nov 3 | | | | | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 10 | Nov 6-Nov | Lab #2 | | | A6 due | | | | 10 | | | | | | | | | | | | A7 posted | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 11 | Nov | Reading week | | | 13-Nov 17 | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 12 | Nov | Lab #3 | | | A7 due | | | | 20-Nov 24 | | | | | | | | | | | | A8 posted | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 13 | Nov | Lab #4 | | | A8 due | | | | 27-Dec 1 | | | | | | | | | | | | A9 posted | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 14 | Dec 4-Dec | | | | A9 due | Last | | | 8 | | | | | lecture | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 15 | Dec | | | | Final Exam | | | | 11-Dec 15 | | | | | | | | | | | | 2pm-5pm | | +----+-----------+--------------+-------------+-------------+-------------+-------------+ | 16 | Dec | | | | | | | | 18-Dec 22 | | | | | | +====+===========+==============+=============+=============+=============+=============+ ------------------------------------------------------------------ **Lab Topic** **Date** ---------------------------------------------------- ------------- Lab 1: Hardware and Software 2022-10-30 Lab 2: Modeling and Identification 2022-11-06 Lab 3: System Response 2022-11-20 Lab 4: Feedback Control Design 2022-11-27 ------------------------------------------------------------------