Engineering Hub/Control Systems & Automation/Control System Modeling, Block Diagram & Signal Flow Lab

Control Systems & AutomationDiscipline: Control Systems Engineering (EEE2005)

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.

Instrument State:Live Analytical DSP Engine

Control System Modeling & Signal Flow LabEEE2005

Mathematical Modeling, Mechanical-Electrical Analogs, Block Diagram Algebra & Mason's Gain SFG

Mechanical System Parameters

Analogy Mapping

Mass (M)2.0 kg

Damping Friction (B)4.0 N·s/m

Spring Stiffness (K)8.0 N/m

Applied Step Force (F₀)10.0 N

DIFFERENTIAL EQUATION & EQUIVALENT DUAL CIRCUIT SCHEMATICM d²x/dt² + B dx/dt + Kx = F(t)

Natural Frequency (ωₙ)

2.00 rad/s

fₙ = 0.32 Hz

Damping Ratio (ζ)

0.500

Underdamped

Steady-State x(∞)

1.250 m

x = F₀ / K

Equivalent Component

L = 2 H

C = 125.0 mF

Technical Instrument Specifications

Physical AnalogsForce-Voltage (M ↔ L) & Force-Current (M ↔ C) dualities

Block AlgebraInteractive cascade, parallel, feedback, and minor loop reduction

Mason's GainT = (∑ Pk Δk) / Δ forward paths, loop cofactors & determinant

s-Plane MappingPoles, zeros, damping ratio ζ, and natural frequency ωn

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