Catalog Data

ME 413:System Dynamics and Control.  Credits 3.  Dynamics of mechanical, fluid, electrical and thermal systems.  Equations of motion.  Dynamic response of elementary systems.  Transfer functions and pole-zero diagrams.  Simulation of dynamics of complex systems.  Dynamic stability of systems.  Open and closed-loop systems.  Basic control actions.  Laboratory sessions involving use of computers for simulation of dynamic systems and analysis of control systems.

Prerequisite: ME 201, MATH 202

Textbook

K. Ogata, System Dynamics, 3^rd Edition, Prentice-Hall, 1998.

References

1)

G. F. Franklin, J. D. Powell and A. Emmami-Naeini, Feedback Control of Dynamic Systems, 3^rd Edition, Addision-Wesley, 1994.

2)

H. V. Vu and R. S. Esfandiari, Dynamic Systems, McGraw-Hill, 1998.

3)

Robert Cannon, Dynamic Physical Systems, McGraw-Hill, 1967.

4)

Cellier, Continuous System Modeling, Springer-Verlag, 1991.

5)

Chapman, Bahill and Wymore, Engineering Modeling and Design, CRC, 1992.

6)

Close and Frederick, Modeling and Analysis of Dynamic Systems, 2^nd Edition, Houghton-Miflin, 1993.

7)

Nelson Dorny, Understanding Dynamic Systems: Approaches to Modeling, Analysis and Design, Prentice Hall, 1993.

8)

Karnopp, Margolis and Rosenberg, System Dynamics: A United Approach, 2^nd Edition, Wiley, 1990.

9)

Schultz and Melsa, State Functions and Linear Control Systems, McGraw-Hill, 1967.

10)

Hearer and Kulakowski, Dynamic Modeling and Control of Engineering Systems, MacMillan, 1990.

11)

Shearer, Murphy and Richardson, Introduction to System Dynamics, Addison and Wesley, 1971.

12)

Smith, Introduction to Dynamic Systems Modeling for Design, Prentice Hall, 1994.

13)

Takahashi, Rabins and Auslander, Introducing Systems and Control, Addison & Wesley, 1972.

14)

Wellstead, Introduction to Physical System Modeling, 1979.

Objectives

1)

Develop a fundamental background in the dynamics of mechanical, electrical and fluid systems.

2)

To provide students with an understanding of the dynamic analysis and design of linear time-invariant control systems.

Pre/Co-Requisites

by Topic

Dynamics of particles in plane motion. (ME 201)

Dynamics of rigid bodies in plane motion. (ME 201)

Ordinary linear differential equations and Laplace Transform. (MATH 202)

Course Outline

1)

Overview and introduction to dynamic systems modeling and analysis

2 Classes

2)

Laplace transformations.  Solution of differential equations using Laplace transformations.  The transfer function approach and block diagrams

4 Classes

3)

Modeling of physical systems.  Mechanical, electrical, fluid and thermal systems.  Linearization of nonlinear systems

4 Classes

4)

Time-response analysis of linear systems

3 Classes

5)

Transient response specifications

2 Classes

6)

Automatic controllers.  Feedback control systems and basic P, PD and PID controllers

2 Classes

7)

Stability analysis.  Routh stability criterion, steady-state error analysis

2 Classes

8)

Root-locus analysis

3 Classes

9)

Frequency-response analysis and Bode plots

3 Classes

10)

State-space modeling

5 Classes

Design Activities/Projects

Design projects will be proposed by the instructor and the students.  Those projects will focus on relating all the various topics introduced in the course to real-life problems encountered in everyday life, such as vibration control of a positioning system, temperature control of AC systems, etc.

Computer Usage

Simulation and control projects to be done on computer using programs, such as Matlab, Simulink and LabVIEW.

Evaluation Methods

1)

2)

3)

4)

5)

Homework

Design Projects

Laboratory Reports

Major Exams

Final Exam

Student Learning Outcome

1)

The ability to model the system to be controlled in terms of ODE’s, transfer function, and state-space techniques. [1, 2, 3, 4]

2)

The ability to understand the system’s behavior due to basic excitations (i.e., impulse, step and ramp inputs). [1, 2, 3]

3)

The ability to recognize the limitations of the model and the assumptions that went into its formulation. [2]

4)

The ability to find an appropriate method of solution to the mathematical model under consideration. [1, 2]

5)

The ability to apply available software tools to the design, analysis and modeling of dynamic engineering systems. [2, 3]

6)

The ability to design a suitable controller to meet various performance criteria for simple engineering systems or processes. [1, 2, 3]

7)

The ability to use feedback and a controller to alter the behavior of the system as desired. [1, 2, 3, 4]

8)

The ability to understand and effectively communicate the results and implications of the analysis and modeling. [1, 2, 3]

ABET Category

Engineering Science

2.0 Credits

Engineering Design

1.0 Credits