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Control Systems & AutomationDiscipline: Control Systems Engineering (EEE2005)

Control Systems Stability Analysis & Root Locus Lab

Interactive laboratory exploring system stability criteria (BIBO and asymptotic), the Routh-Hurwitz array builder with special cases (first-column zero and row of zeros / auxiliary polynomials), Evans root locus construction rules with dynamic gain exploration, and allowable s-plane pole placement regions.

Instrument State:Live Analytical DSP Engine
Calibrating DSP Instrument Pipeline...

Technical Instrument Specifications

Routh Array EngineLive array computation, sign changes, marginal gain Kcrit, and oscillation frequency ωosc
Evans RulesReal-axis segments, asymptote centroid σa, departure angles φd, and breakaway points dK/ds = 0
Root Locus TracerInteractive gain slider K from 0 to 150+ with animated closed-loop pole migration
Design Boundss-Plane allowable regions mapped from damping ζ, settling time ts, and peak overshoot %Mp

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Control System Modeling, Block Diagram & Signal Flow Lab

Interactive control engineering suite demonstrating mathematical modeling of physical systems, Force-Voltage (F-V) and Force-Current (F-I) analogies, canonical block diagram reduction algebra, Mason's gain formula for signal flow graphs, and complex s-plane pole-zero stability mapping.

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Control Systems Time Response & Transient Specifications Lab

Interactive laboratory exploring second-order prototype dynamics (undamped, underdamped, critically damped, and overdamped regimes), transient performance specifications (delay, rise, peak time, %Mp, and settling time), steady-state error (ess) across System Types 0, 1, and 2, and complex s-plane pole placement with dominant pole approximation.

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Frequency Response & State Variable Analysis Lab

Interactive laboratory exploring frequency response techniques (Bode magnitude and phase plots, gain margin, phase margin, crossover frequencies), polar and Nyquist encirclement stability criteria (N = P - Z), state-space canonical representations, State Transition Matrix (STM), and Kalman controllability/observability rank tests.

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