After taking this course, students should be able to:
- Develop mathematical models of simple dynamical systems such as mechanical, electrical and electromechanical systems using differential equations based on first principles.
- Obtain and manipulate transfer functions of linear time invariant (LTI) systems using Laplace transform. Identify poles and zeros of a transfer function. Construct and manipulate block diagrams of LTI systems.
- Determine and characterize the time response of 1st and 2nd order systems using various inputs such as step, ramp and sinusoids.
- Construct Matlab/Simulink models of dynamical systems and simulate them with different inputs and initial conditions.
- Develop state space representations for linear and nonlinear dynamical systems. Linearize nonlinear systems around an operating point.
- Define stability and determine stability of LTI systems.
- Sketch the root locus of LTI systems and determine conditions for critical stability from such plots. Investigate the effects of adding zeros and poles to the system.
- Determine the frequency response of LTI systems through Bode and polar plots.
- Analyze basic control systems. Distinguish open loop from closed loop (feedback) control systems.
- Design simple PID controllers and evaluate them on the transient and steady state performance of dynamical systems.
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