Faculty of Engineering and Natural Sciences
SabanciUniversity
Faculty of Engineering and Natural Sciences
ENS206 System Modeling & Control
Course Information, 2004 Spring Term
1.Credit and Content
ENS206 is a 3-credit course for the second year in the FENS. MATH 201, and MATH 102 are the prerequisites of the course.
The objective of this course is to introduce fundamental concepts of systems modeling and control. Upon successful completion of the course, students will be able to work with simple linear models and control of dynamic systems encountered in many disciplines.
The course has two parts. The first part of the course studies linear models of the real world systems. Examples will be from mechanical, electrical, fluid, thermal, biological and economic systems. Emphasis will be on the mathematical language used to interpret common dynamic behavior of systems from different disciplines. The second part of the course introduces the design of control systems in the time and frequency domain.
2.Classes
Lectures: Tuesdays from 9:10 to 11:00 and Thursdays from 11:10 to 12:00 in L045.
Lecturers: Serhat Yeşilyurt, Rm. 1089, x9579, and Asif Sabanovic, x0502,
Recitations: Fridays 9:10-11:00 Session A, 11:10-13:00 Session B.
TAs: , ,
3.Textbook
Modeling, Analysis, and Control of Dynamic Systems, WJ Palm III, Wiley (available from the library electronic reserve)
4.References
System Dynamics by K. Ogata, 3rd edition, 1998, Prentice-Hall (in the library)
Dynamic Modeling and Control of Engineering Systems by J.L. Shearer, B.T. Kulakowski, J.F. Gardner, 2nd edition, 1997, Prentice-Hall (in the library).
5.Exams and Grading
Grading will be based on two midterms (20% each), a final (30%), homework (20%) and participation (10%). Emphasis will be on numerical solutions in homework assignments (about 8 to 10 in total). MATLAB or any other programming environment will be satisfactory for numerical solutions. Students are expected to work on homework assignments on their own. Upon proof of sharing of homework solutions, necessary actions in the regulations governing the SabanciUniversity policy will be applied to the full extent.
6.Delivery
Theory will be given in the lectures with simple examples; detailed problem solving sessions will be held in the recitations and similar problems will be assigned as homework; and exams will be arranged to invoke hard thinking.
7.Lectures
Following schedule is subject to change; updates will be posted.
W1 (Feb 24):Introduction [1.1-1.4]: Systems and models, [1.2] modeling error, energy principles [1.4], and mechanical systems examples from rotational dynamics
W2 (Mar 1):Useful analysis tools in modeling [1.5]: Taylor’s expansion, Newton’s iteration, matrix algebra [1.6];Modeling and analysis of mechanical systems [Ch. 2]: Laplace transform [2.1], response of 1st order models [2.2], higher-order models [2.3]
W3 (Mar 8):Pulse, impulse and ramp response [2.4], Plane motion examples [2.5]
W4 (Mar 15):Linearization and stability [2.7], numerical methods [2.8]; Modeling of electrical systems, circuit models [3.1],
W5 (Mar 22):Transfer functions [3.3], impedance [3.4], opamps [3.5]
W6 (Mar 29): Electromechanical systems [3.6], State-variable models [3.7]
W7 (Apr 5): Modes and system response [4.6]; Frequency analysis of first order and second order systems [6.1-6.3].
W8 (Apr 12): Bandwidth [6.3] and case studies [6.4]. Midterm I
WB (Apr 19): SEMESTER BREAK
W9 (Apr 26):State space representation of dynamic systems,Canonical forms
W10 (May 3): State space – TF and TF-state space transformations , Solution of the
state equations,
W11 (May 10): Controllability, Observability, Stability
W12 (May 17):Feedback, basics of state space design
W13 (May 24): Frequency design methods
W14 (May 31): Basics of discrete time systems
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