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Control Systems & AutomationDiscipline: Control Systems Engineering (EEE2005)

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.

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

Technical Instrument Specifications

Bode AnalysisLogarithmic frequency sweep (0.1 to 100 rad/s), Gain Margin (GM), and Phase Margin (PM)
Nyquist CriterionPolar plots, critical point (-1, j0) proximity, and Cauchy argument encirclements N = P - Z
State-Space EngineCompanion form [A, B, C, D], resolvent (sI - A)⁻¹, eigenvalues λ, and State Transition Matrix Φ(t)
Kalman TestsControllability matrix 𝓒 = [B AB], Observability 𝓞 = [Cᵀ AᵀCᵀ], and rank deficiency detection

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