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# Courses Detail Information

## VM360 – Automatic Control

Instructor: Lei Shao

Instructors (Faculty):

Credits: 4 credits

Pre-requisites: Vm240, Ve215

Description:

Developing mathematical models of dynamic systems, including mechanical, electrical, electromechanical, and fluid/thermal systems, and representing these models in differential equations, transfer functions and state space forms. Analysis of dynamic system models, including time and frequency responses. Introduction to linear feedback control techniques. Synthesis and analysis by analytical and computer methods.

Course Topics:

1. MODELING: Mechanical, electrical, fluid, thermal, and mixed-domain
2. systems (e.g. DC motors)
3. MODELING: State space system equations
4. ANALYSIS: Linearity (superposition) and linearization
5. ANALYSIS: Laplace transforms and transfer functions; block diagrams
6. ANALYSIS: Solving ODE using homogeneous and particular solutions. ANALYSIS: System poles (or roots of the characteristic equation).    Understanding how each pole has a time constant and (if complex) damped/undamped natural frequencies. Transient responses for different        pole locations in the complex plane.
7. ANALYSIS: Solving for the response (e.g., impulse, step) of first, second,and higher order linear, time-invariant systems
8. ANALYSIS: Identifying the free, forced, transient, and steady state responses of linear, time-invariant systems
9. ANALYSIS: Accurately sketching the response of linear, time-invariant systems based on the system poles (eigenvalues), initial conditions, and calculated steady state (i.e., particular solution) responses
10. ANALYSIS: Frequency response; Deriving and interpreting frequency response (Bode) plots
11. CONTROL: System performance measures in the time and frequency domains: rise time, overshoot, settling time, etc.
12. CONTROL: Feedback control: P, PI, PD control; reference tracking and disturbance rejection