Class Materials

Topic

Available

Complete by

1. Review of Classical Control Theory

• Open and closed loop poles
• Stability analysis
• Steady state errors
• Transient response
• Frequency response  .pdf version

available

31-Aug-2007

2. Discrete Time Systems

• Sampled data systems
• Z-Transforms
• Block diagram manipulation

available

11-Sep-2007

3. State Space Representation of Linear Systems

• State space representation of dynamic systems
• Obtaining state equations from special SISO differential or difference equations
• Obtaining state equations from general SISO differential equations (observable and controllable canonical forms)
• Obtaining state equations from MIMO system transfer matrices

available

25-Sep-2007

4. Matrix Transformations and Decompositions

• QR decomposition, row echelon reduction, and simultaneous linear equations
• Eigenvalues and eigenvectors
• Modal decomposition

available

9-Oct-2007

5. Matrix Functions and the Cayley-Hamilton Theorem

available

17-Oct-2007

6. Analysis of Linear State Equations

• Continuous systems
• Discrete Systems

available

31-Oct-2007

7. Controllability and Observability

available

7-Nov-2007

8. State feedback, pole placement, observers

• State and output feedback
• Pole placement using state feedback
• Partial pole placement using output feedback
• Observers
• Separation of controller and observer design
• Discrete-time systems

available

21-Nov-2007

9. Introduction to optimal control

• The optimal control problem
• Discrete-time optimal control
• Discrete-time linear quadratic control
• Continuous-time optimal control
• Continuous-time linear quadratic control

available

4-Dec-2005