Electrical and Computer Engineering

316. System Dynamics  

Model formulation techniques for physical systems. Transformation between state-space and classical system representations. Classical solution of LTI system equations. Time and frequency domain solutions of linear state equations. Three lectures. Spring. (Cr. 3)

Prerequisite: ELEC 307

Goals:

To link physical systems to their lumped parameter representations with emphasis on mechanical, electrical, hydraulic or thermal applications.

To review classical linear models based on linear time invariant differential equations, with emphasis on the Laplace transform.

To develop the tools of the state-space method using MATLAB, in both its symbolic and numerical form, to do the tedious evaluations.

To extend the state-space method to non-linear, time-invariant or time-variant, systems.

Objectives:

The student will have developed:

an ability to use modeling tools in the analysis of linear or non-linear, time-invariant or time-variant, systems

an ability to think critically about the modeling of engineering systems

an awareness of the depth of engineering knowledge and the need for life-long learning.

an ability to be a member of a team

Text:      Systems Dynamics by Katsuhiko Ogata, Prentice Hall, 4th Edition, 2004 ISBN 0-13-142462-9

Auxiliary Texts: 

                        MATLAB tutorials and help menu provided in RLC with MATLAB program

                        Instructor provided handouts
 

Topics:

 Introduction to System Dynamics (3 lectures)

Types of problems to be solved

Classical I/O & State Variable Method

Mathematical Modeling of Dynamic Systems

Analysis and Design of Dynamic Systems

Simple MATLAB

Static Electrical Networks using MATLAB

The Laplace Transform (3 lectures)

The Laplace Transform

The Inverse Laplace transform based on poles and zeros

The Laplace Transform - using symbolic MATLAB.   

Mechanical Systems (6 lectures)

            Mechanical Elements

            Modeling one-dimensional linear and one-dimensional rotational systems

Analogous Systems

Transfer-Function Approach to Modeling Dynamic Systems (6 lectures)

            Block Diagrams

            Partial fraction expansion using MATLAB        

            Transient response using the transfer function and MATLAB

State-Space Approach to Modeling Dynamic Systems (6 lectures)

            Transient response using state-space form and symbolic MATLAB

            State-space Model with and without input derivatives

            Relation to Simulink and analog computer simulation

            Transformation of Models using MATLAB\

Electrical Systems and Electromechanical Systems (3 lectures)

            Modeling Electrical Systems

            Modeling Electromechanical systems

            Modeling operational-amplifier systems

            Analogs

Fluid Systems and Thermal Systems (6 lectures)

            Modeling liquid-level systems

            Modeling Pneumatic systems

            Modeling Hydraulic Systems

            Modeling Thermal systems

Time-Domain Analyses of Dynamic Systems (6 lectures)

            Transient-response of first-order, second-order, and high-order systems

            Solution of the state equation

Quizzes and Final Exam (5 equivalent lecture hours)

Professional Component:  Three credits of Engineering Science

Prepared by: Dr. Bernard Harris                                                                          Date: Fall 2006