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MTHE 332  Introduction To Control  Units: 4.00  
Modeling control systems, linearization around an equilibrium point. Block diagrams, impulse response, transfer function, frequency response. Controllability and observability, LTI realizations. Feedback and stability, Lyapunov stability criterion, pole placement, Routh criterion. Input/output stability, design of PID controllers, Bode plots, Nyquist plots, Nyquist stability criterion, robust controllers. Laboratory experiments illustrate the control concepts learned in class.
NOT OFFERED 2024-2025
(Lec: 3, Lab: 0.5, Tut: 0.5)
Requirements: Prerequisites: MTHE 326 (MATH 326) Corequisites: MTHE 335 Exclusions:   
Offering Term: W  
CEAB Units:    
Mathematics 15  
Natural Sciences 5  
Complementary Studies 0  
Engineering Science 23  
Engineering Design 5  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Linearizing a nonlinear control system around an equilibrium point.
  2. Computing the controllability and observability matrices of a linear time invariant system.
  3. Determining internal stability of a linear time invariant system.
  4. Making rigorous use of notions from linear algebra and differential equations in proving results on linear time invariant systems.
  5. Using tools from linear algebra and differential equations to determine properties of linear time invariant systems.
  6. Control of an electromechanical system.
  7. Formulates clear problem specifications for the design of control systems.
  8. Develops metrics for comparing designs of controllers.