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MTHE 430 Control Theory Units: 4.00
This course covers core topics in both classical and modern control theory. Overview of classical control theory using frequency methods. Linear and nonlinear controlled differential systems and their solutions. Stabilization and stability methods via Lyapunov analysis or linearization. Controllability, observability, minimal realizations, feedback stabilization, observer design. Optimal control theory, the linear quadratic regulator, dynamic programming.
(Lec: 3, Lab: 0.5, Tut: 0.5)
(Lec: 3, Lab: 0.5, Tut: 0.5)
Requirements: Prerequisites: MTHE 237, MTHE 212, MTHE 326, or permission of the instructor
Corequisites:
Exclusions:
Offering Term: F
CEAB Units:
Mathematics 6
Natural Sciences 6
Complementary Studies 0
Engineering Science 18
Engineering Design 18
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Linearize a nonlinear system around a given trajectory.
- Construct LTI realizations of given transfer functions.
- Determine the controllability/observability properties of a linear time varying system.
- Rigorously use concepts from linear algebra/differential equations in proving results on linear control systems.
- Use tools from optimal control theory in order to solve optimization problems.
- Use tools from linear algebra in order to construct stabilizing controllers.
- Experimentally study linear approximations to nonlinear systems and the limits of validity of linearization.
- Experimentally study finite dimensional linear approximations to infinite dimensional linear systems and the limits of validity of that approximation.