Control Engineering - Complete Course (15+ Hours)

Analyze touching and non-touching loops in control engineering, deriving delta as one minus the sum of individual gains.

An exploration of delta k in control engineering, showing how removing parts in an SFD affects loops and gains and guiding the calculation of the transfer function.

Explore time domain response in control systems, analyzing transient and steady-state behavior for standard inputs like unit step, ramp, and parabolic signals, using transfer functions and Laplace transforms.

Derive the step response of a second-order system to a unit step input using Laplace-domain analysis and partial fractions, yielding time-domain forms for underdamped, critically damped, and overdamped cases.

Explore root locus rules for control systems, including symmetry about the imaginary axis, branch counts from poles and zeros, asymptotes, centroid, breakaway points, and departure and arrival angles.

Identify the resonance frequency of a second-order system by analyzing its magnitude response and differentiating with respect to omega to locate the maximum gain.

Explore gain margin and phase margin in frequency response, learn how to calculate them from crossover frequencies and angles, and apply these margins to assess system stability.

Analyze a Nyquist plot for the transfer function, identify regions s1 and s2, and review magnitude and phase behavior around 0 and minus 180 degrees along the clockwise contour.

Learn to build a Bode plot from basic transfer-function blocks, reading magnitude in dB and phase on a log frequency axis, with zeros and sign patterns shaping slope.

Explore converting an open-loop transfer function into standard form, identify poles and zeros, and build the magnitude and phase plots of a bode diagram using modular blocks.

Learn to read Bode plots to assess stability by identifying gain crossover and phase crossover, computing gain and phase margins from magnitude and phase curves.

Clarify how to handle logarithms and magnitudes in control calculations, convert values to omega, map magnitudes, and apply the correct algebraic steps when axes differ.

Explore compensators in negative feedback to improve open-loop and closed-loop transient and steady-state performance and prevent output drift, focusing on the compensator block in electrical and other systems.

Examine the lead compensator in control engineering, analyzing its magnitude and phase effects, zeros and poles, and how omega and alpha shape the transfer function and maximum phase.

Explore the magnitude and phase of a lag compensator, showing how a pole and a zero shape the transfer function and how beta greater than one yields negative phase.

Explore how lead and lag compensators shape transient and steady-state responses, improve bandwidth, and balance magnitude and frequency effects in control systems.

Explore how to identify and design compensators in control engineering by analyzing maximum phase shift, lead vs lag configurations, and coefficient criteria using transfer functions.

Convert state equations to a transfer function to obtain closed-loop transfer function. Denominator yields characteristic equation; eigenvalue roots determine stability (left-half plane stable, right-half plane unstable, marginal on axis).

Decompose state equation solutions into zero input and forced responses, sum to obtain the complete response, and use Laplace transforms with the state transition matrix to propagate x0.