Electrical & Electronics Engineering / PID Speed Servomechanism
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LABORATORY 47 · ELECTRICAL & ELECTRONICS ENGINEERING

Closed-Loop Proportional-Integral-Derivative (PID) DC Motor Speed Servomechanism

Implement analog and digital PID feedback control on a DC servomotor, analyzing step response overshoot, steady-state error, settling time, and disturbance rejection under variable loop gains. Explore interactive circuit analysis, electronics simulation, and electrical engineering telemetry.

CIRCUIT ANALYSIS · ANALOG · DIGITAL · MACHINES · POWER SYSTEMS · CONTROL & INSTRUMENTATION

Your virtual electrical & electronics engineering laboratory.

CLOSED-LOOP NATURAL ANGULAR FREQUENCY Ω_N—
INSTRUMENTATION TELEMETRY

Ready to sample with Proportional Gain K_p = 3.0 gain.

3.0 gain
Calibrated Analog PID Controller Board & Optical Quadrature Encoder Servomotor baseline operating point stabilized at 25.0 °C

Adjust Proportional Gain K_p, then execute electrical instrumentation acquisition.

Electrical telemetry is sampled with calibrated high-precision instruments using 64-bit IEEE 754 precision buffers. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity circuit and power system modeling.

Electrical engineering assumptions and boundary limits

Assumes ideal linear operating conditions without thermal breakdown or non-linear core saturation Calibrated using the Analog PID Controller Board & Optical Quadrature Encoder Servomotor under controlled temperature and 64-bit IEEE 754 precision instrumentation buffers. Ordinary least-squares regression yields R² > 0.99999.

Laboratory apparatus & testing equipment.

PID Speed Servomechanism Precision Workstation

Provides regulated excitation, calibrated terminal access, and low-parasitic interconnects for root locus dynamics, ziegler-nichols tuning, integral windup & phase margin.

True-RMS Digital Multimeter (6.5-digit Keysight / Fluke)

Measures terminal voltages, branch currents, and precision DC/AC parameters with ±0.0035% baseline accuracy.

Dual-Channel Digital Storage Oscilloscope (100 MHz, 1 GSa/s)

Captures time-domain waveforms, phase shifts, transient dynamics, and harmonic spectra for pid speed servomechanism.

Regulated Linear DC / AC Variable Power Source

Supplies low-noise, ripple-free voltage and current excitation with adjustable current limiting.

Calibrated Decade Resistance & Component Substitution Box

Provides precision 0.1% tolerance standard passive values to establish calibrated proportional gain k_p conditions.

Four-Terminal Kelvin Lead Wire & BNC Coaxial Cable Set

Minimizes lead resistance, inductive pickup, and ambient EMI interference across all test ports.

FOLLOW THE METHOD

A reason behind every step.

Implement analog and digital PID feedback control on a DC servomotor, analyzing step response overshoot, steady-state error, settling time, and disturbance rejection under variable loop gains. Standardized parameter settings: 1.0, 1.8, 2.6, 3.4, 4.2, 5.0 gain.

  1. Visual Inspection & Pre-Flight Zero Tare: Inspect all circuit connections, breadboard jumpers, and terminal blocks. Verify that instrument ground planes are tied to earth and execute zero tare on all digital meters.
  2. Excitation Source & Baseline Calibration: Energize the regulated supply, set baseline operating thresholds, and calibrate the proportional gain k_p using the precision standard reference meter.
  3. Systematic Parameter Variation & Settling: Increment the proportional gain k_p systematically across the designated experimental range (1.0 to 5.0 gain), permitting thermal settling at each setpoint.
  4. Multi-Meter & Oscilloscope Waveform Acquisition: Record the primary output metric (Closed-Loop Natural Angular Frequency ω_n) alongside auxiliary telemetry. Verify waveform symmetry, DC offset, and harmonic integrity on the oscilloscope.
  5. Cross-Validation & Redundant Trial Verification: Execute repeated forward and reverse sweeps to detect hysteresis, thermal drift, or non-linear saturation effects across the device under test (DUT).
  6. Shutdown, De-energization & Data Archival: Reduce source excitation smoothly to zero, de-energize all primary supplies, discharge residual capacitive elements, and export raw telemetry to the data buffer.
YOUR NOTEBOOK · 0 OBSERVATIONS

Turn measurements into electrical engineering insight.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates PID Speed Servomechanism mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
ω_n = 5.2000 · K_p + 10.0000
#Controller Proportional Gain K_p (gain)Closed-Loop Natural Angular Frequency ω_n (rad/s)Controller proportional gain K_p (gain)Natural frequency ω_n (rad/s)

No readings yet. Execute an electrical trial and record it.

CHECK YOUR UNDERSTANDING

Explain what the circuit metrics mean.

Question 1: In the study of PID Speed Servomechanism, the primary dependent variable measured is:

Question 2: The mathematical relationship governing PID Speed Servomechanism is modeled as:

Question 3: The target benchmark parameter derived from regression analysis is:

Question 4: Which instrumentation technique effectively eliminates lead wire resistance error?

THEORY AND ELECTROMAGNETIC CONTEXT

Electrical engineering background & physical principles.

The experimental analysis of closed-loop proportional-integral-derivative (pid) dc motor speed servomechanism investigates the electrotechnical behavior of analog pid controller board & optical quadrature encoder servomotor. This university laboratory module focuses on root locus dynamics, ziegler-nichols tuning, integral windup & phase margin, establishing accurate mathematical transfer characteristics across standard operational domains.

ω_n = 5.2000 · K_p + 10.0000

Calibrated using the Analog PID Controller Board & Optical Quadrature Encoder Servomotor under controlled temperature and 64-bit IEEE 754 precision instrumentation buffers. Ordinary least-squares regression yields R² > 0.99999.