Response of overdamped 2nd order system to step

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Introduces Laplace transform, ROC, and LTI systems with transfer functions and frequency response.

Explains steady-state offset, system types, and integrator impact on stability.

Explores the ideal lowpass filter, its impulse and frequency response, and challenges due to infinite support and lack of stability.

Focuses on designing lead compensators for PD controllers to improve phase margin and reduce steady-state error.

Explores the response of a first-order system to step and ramp inputs.

Covers the theory of harmonic response, including decomposition into simple elements and stable system behavior.

Covers system analysis in the frequency domain for dynamical systems, including step response, frequency response, and Bode plots.

Covers the step response and gain of first-order integrating systems.

Explores characteristic modes, green functions, stability criteria, and system response to complex excitations.

Explores lead and lag compensators for control systems, including PID controllers and spacecraft stabilization design.