Instructor:            Professor Pan Michaleris
                              232 Reber Bldg
                              863-7273
                              pxm32@psu.edu
                              Office hours: Monday 1:30-2:20

Teaching Assistants:  Paul Diglio, pjd183@psu.edu, Office hours: Tuesday 11:30-1:00,  Wednesday 9:30-11:00am,
                                     Ying Shi, yingshi@psu.edu, Office hours: Thursday & Friday 12:30-2:00pm, 337 Reber, Desk 55.

Text:                  Dynamic Modeling and Control of Engineering Systems by B. T., Kulakowski, J. F. Gardner, and J. L. Shearer, Third Ed., Cambridge University Press 2007.

   Homework                              35% (drop worst hw)
   One Computer Project            10%
   Midterm                                  15%
   Two Quizes                             15%
   Final                                        25%

 This course covers modeling, analysis, and control of single and multiple degree-of-freedom dynamical systems, including mechanical, electrical, thermal, fluid systems and their combinations (mixed systems). The processes of energy storage and dissipation, which are common for different kinds of dynamic systems, will be emphasized in investigating general principles for modeling various dynamic systems. Basic concepts in system theory such as state variables and stability notions will be introduced. Most of the content will be restricted to linear-time-invariant systems (LTIs); however, local linearization around nominal operating points will be taught to analyze nonlinear systems.  Introduction to classical control analysis and design methods will also be given.

1.  To model various engineering systems, including mechanical, electrical, thermal and fluid systems and their combinations (mixed systems).
2.  To solve the model equations analytically and/or numerically using Matlab/Simulink.
3.  To relate the solution of the model equations to the physical response of the system.
4.  To acquire basic control concepts with working knowledge on transfer function, frequency response, system stability and steady-state error.
5.  To perform basic design/analysis of control systems.

1. Recognize energy storing elements in an engineering system and choose appropriate state variables.
2. Develop ordinary differential equations (ODEs) that describe the dynamic behavior of lumped parameter systems including mechanical, fluid, thermal and electrical elements.
3. Analyze nonlinear systems by local linearization around nominal operating points.
4. Draw system block diagrams from the system equations and vice versa: write system equations from block diagrams.
5. Analytically solve linear ODE's for responses to initial conditions and to given excitations such as a step input.
6. Evaluate system performance in terms of “time constant” for first-order linear time-invariant systems (LTIs) and “damping ratio” and “natural frequency” for second-order LTI systems.  Understand how to estimate the asymptotes of high-order LTI systems.
7. Understand numerical methods of solutions to ODEs. Use Matlab/Simulink to implement various system models.
8. Understand the Laplace transform of linear ODEs and the concept of transfer functions. Perform frequency-response analyses for linear systems.
9. Understand the basic concepts of feedback control. Determine system stability and stability limits for certain classes of feedback systems.
10. Perform design/analysis calculations for basic linear-feedback control systems. Understand the objectives and functions of proportional (P), integral (I), and derivative (D) feedback controls. Design PID feedback controllers for simple linear systems.

• Class attendance is highly recommended as material is frequently presented which departs from the text.
• Homework problems will be assigned approximately once a week and will be due one week later.
• Absolutely no late homework will be accepted.
• Consulting/studying in teams is encouraged.  However, each team member must work on all parts of the homework and projects and must hand in their own individual work. 
• All exams will closed book.  However, you may bring with you up to four pages of notes.

This is a tentative schedule and it should be used only as a guideline.  This schedule may be changed and it is the student’s responsibility to be aware of any changes.