Electrical and Computer Engineering

    University of Massachusetts Lowell

    Spring 2009

  16.513  Control Systems 

  Course outline                       Video Lecture archive (You need password to enter)

   Textbook:  Chi-Tsong Chen, Linear System Theory and Design, Third Edition, Oxford University Press.  

   Animation code for Project

   Lecture note #12: Feedback from estimated state; Deadbeat control; LQR optimal control;
                                 Rejecting sinusoidal disturbances   

   Homework set #11 solution
   Lecture note #11: Robust tracking, disturbance rejection, full dimensional estimator
 
   Homework set #10 solution
   Lecture note #10: Canonical decomposition, minimal realization, pole assignment via state feedback

   Homework set #9 solution
   Lecture note #9: Controllability and observability, Canonical decomposition

   Homework set #8 solution
   Lecture note #8 : Dealing with complex eigenvalues, state space realization of transfer functions;
   simulink, course project, quadratic functions and positive definiteness 

   Solution to Midterm09  
   Midterm06 Exam -- Solution (for bonus problem solution, see page 45-46 in Lecture note #7);  
   Midterm08 Exam -- Solution

   Homework set #7 solution
   Lecture note #7:  General matrix functions, solutions to state-space equation
 
   Homework set #6 solution
   Lecture note #6: Jordan form; Polynomial functions of a square matrix; Midterm review

   Homework set #5 solution
   Lecture note #5:  Solutions to algebraic equations, companion form, diagonal form, Jordan form

   Homework set #4 solution
   Matlab code for plotting the norms and linear map
   Lecture note #4:  Basis, representation, inner product, orthogonality and linear operators

   Homework set #3 solution
   Lecture note #3:  Modeling of selected systems; Linear algebra, vector space and linear independence

   Homework set #2 solution
   Lecture note #2:  Linear algebra review, Modeling of systems

   Homework set #1 solution
   Lecture note #1:  Introduction and mathematical description of systems

  Course Material from Spring 2007 (Not for use in class, only for reference)

    Final Exam 2007

    Home work #10 solution,  Home work #11 solution

    Animation code for Project

    Final Exam for Spring 2006

    Lecture note #12:  An Introduction to nonlinear/uncertain systems, Lyapunov stability.

    Lecture note #11: Feedback from estimated state; Deadbeat control; LQR optimal control;
                              Rejecting sinusoidal disturbances   

    Lecture note #10: Robust tracking, disturbance rejection, full dimensional estimator

    Home work #9 solution

    Lecture note #9: Canonical decomposition, minimal realization, pole assignment via state feedback

   Home work #8 solution

   Lecture note #8: Controllability and observability, Canonical decomposition

   Home work #7 solution

   Lecture note #7 : Dealing with complex eigenvalues, state space realization of transfer functions;
   simulink, course project, quadratic functions and positive definiteness 

   Home work #6 solution

   Solution for Midterm Exam 2007

   Midterm Exam for 2005, Solution;   Midterm Exam for 2006, Solution

   Lecture note #6:  General matrix functions, solutions to state-space equation, midterm review 

   Lecture note #5: Companion form, diagonal form, Jordan form; Functions of a square matrix

   Homework #4 ,5 overlap with HW#4,5,6 from Spring 2006. The solutions are in three files:
   (HW06#4, HW06#5, HW06#6)

   Lecture note #4: Basis, representation and orthogonality;  solutions to algebraic equations

   Lecture note #3: Modeling of selected systems; Linear algebra, vector space and linear independence
   Home work #3 solution

   Lecture note #2:  Linear algebra review, Modeling of systems
   Home work #2 solution

   Lecture note #1:  Introduction and mathematical description of systems
   Home work #1 solution

Course Material from Spring 2005 (Not for use in class, only for reference)

Homework #3 solution,  Homework #4 solution,  Homework #5 solution

 Lecture note #6,   General matrix functions, solutions to state-space equation, midterm review 

Homework #6 solution

Exam1 solution,

Lecture note #7,  Realization of transfer functions, Simulink model and miscellaneous problems

Homework #7 solution

Lecture note #8,  Controllability and observability, Canonical decomposition, minimal realization

Homework #8 solution page 1,  Homework #8 solution page 2

Lecture note #9,  State feedback design: two approaches to pole assignment

Homework #9 solution

Lecture note #10,  Regulations and tracking, full dimensional observers

Homework #10 solution

Lecture note #11, Reduced-order observers, LQR optimal control, Rejection of sinusoidal disturbances

Sample Project

Lecture note #12,  Lyapunov stability -- An introduction to nonlinear and uncertain systems

Final Exam,  Solution: page 1,  page 2, page 3, page 4, page 5, page 6