### Systems Modeling and Control (ENS 206)

2020 Summer
Faculty of Engineering and Natural Sciences
Engineering Sciences(ENS)
3
6.00 / 6.00 ECTS (for students admitted in the 2013-14 Academic Year or following years)
Mehmet Keskinöz -keskinoz@sabanciuniv.edu,
English
MATH102 MATH201
Formal lecture,Recitation
Discussion based learning,Project based learning,Simulation

### CONTENT

Examples of physical and abstract systems and their mathematical models. Classification of dynamic system models linearity and time invariance ; finite state discrete event systems. Tools of analysis for linear systems : transform techniques, input-output analysis, block diagrams, frequency response representation. Introduction to stability and closed loop system design. Introduction to supervisory control for discrete event systems.

### OBJECTIVE

Develop mathematical models of dynamical systems and control them through various controllers to obtain desired performance.

### LEARNING OUTCOME

After taking this course, students should be able to:

- Develop mathematical models of simple dynamical systems such as mechanical, electrical and electromechanical systems using differential equations based on first principles.
- Obtain and manipulate transfer functions of linear time invariant (LTI) systems using Laplace transform. Identify poles and zeros of a transfer function. Construct and manipulate block diagrams of LTI systems.
- Determine and characterize the time response of 1st and 2nd order systems using various inputs such as step, ramp and sinusoids.
- Construct Matlab/Simulink models of dynamical systems and simulate them with different inputs and initial conditions.
- Develop state space representations for linear and nonlinear dynamical systems. Linearize nonlinear systems around an operating point.
- Determine the frequency response of LTI systems
- Analyze basic control systems. Distinguish open loop from closed loop (feedback) control systems.
- Design simple PID controllers and evaluate them on the transient and steady state performance of dynamical systems.

### ASSESSMENT METHODS and CRITERIA

 Percentage (%) Final 40 Midterm 30 Exam 15 Assignment 15