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PID Controller

PID Controller

Proportional-Integral-Derivative (PID) controllers are widely used in various control systems to enhance stability and performance. In a thermostat, it adjusts heating or cooling based on the temperature difference between the actual and desired levels. They are often used in automotive speed systems, effectively managing sudden speed changes while maintaining a constant speed under varying conditions. On the other hand, PI controllers, commonly employed in voltage regulation, enhance stability...

PD Controller: Design

PD Controller: Design

In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...

Time-Domain Interpretation of PD Control

Time-Domain Interpretation of PD Control

Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...

Time and frequency -Domain Interpretation of PI Control

Time and frequency -Domain Interpretation of PI Control

Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...

PI Controller: Design

PI Controller: Design

Proportional Integral (PI) controllers are a fundamental component in modern control systems, widely used to enhance performance and mitigate steady-state errors. They are particularly effective in applications such as automatic brightness adjustment on smartphones, where they excel at mitigating steady-state errors for step-function inputs. Unlike PD controllers, which require time-varying errors to function optimally, PI controllers leverage their integral component to address residual...

Frequency-Domain Interpretation of PD Control

Frequency-Domain Interpretation of PD Control

Proportional-Derivative (PD) controllers are widely used in fan control systems to improve stability and performance. A fan control system can be effectively represented using a Bode plot to illustrate the impact of a PD controller through its transfer function. The Bode plot visually conveys how PD control modifies the fan's response across various frequencies, providing a frequency domain interpretation of the controller's behavior.
The proportional control gain, combined with the...

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Related Experiment Video

Updated: Feb 22, 2026

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy

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Published on: October 14, 2017

Demonstrative fractional order - PID controller based DC motor drive on digital platform.

Swapnil W Khubalkar¹, Anjali S Junghare¹, Mohan V Aware¹

¹Department of Electrical Engineering, Visvesvaraya National Institute of Technology, Nagpur 440010, India.

ISA Transactions

|September 25, 2017

Summary

Digital fractional order controllers offer robustness in industrial drives. This study details a fractional order PID controller design using a novel optimization technique and digital implementation for DC motor drives, demonstrating robust performance.

Keywords:

DC motor drive Floating point DSP Fractional order PID Implementation Optimization

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Area of Science:

Control Systems Engineering
Electrical Engineering
Mechatronics

Background:

Fractional order controllers offer enhanced robustness in industrial drive applications.
Digital implementation of these controllers provides significant advantages, particularly against plant parameter variations.

Purpose of the Study:

To present a design procedure for a fractional order proportional-integral-derivative (FO-PID) controller.
To introduce a novel modified dynamic particle swarm optimization (IdPSO) technique for controller parameter tuning.
To validate the controller's robust performance in an industrial DC motor drive system.

Main Methods:

Indirect approximation using the constant phase technique for FO-PID controller design.
Utilization of the modified dynamic particle swarm optimization (IdPSO) for determining controller parameters.
Digital implementation of the FO-PID controller on a floating-point digital signal processor for a 1.5kW DC motor drive.

Main Results:

The FO-PID controller was successfully designed and implemented for a 1.5kW industrial DC motor drive.
Robust operation was confirmed through testing with two DC motors of identical rating but differing parameters.
The IdPSO technique effectively optimized the controller parameters for robust performance.

Conclusions:

The proposed FO-PID controller, designed via indirect approximation and optimized with IdPSO, demonstrates robust performance in industrial DC motor drives.
Digital implementation on a DSP allows for practical application of fractional order control strategies.
The controller's resilience to parameter variations highlights its suitability for real-world industrial applications.