Comparative Analysis of P, PI, and PID Controllers Based on Time Domain Specifications

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Year : 2026 | Volume : 04 | 02 | Page :
By

S.K. Agrawal,

Ashish Mishra,

  1. Professor, Department of Electrical Engineering, Bansal Institute of Engineering and Technology, Lucknow, Uttar Pradesh, India
  2. Student, Department of Electrical Engineering, Bansal Institute of Engineering and Technology, Lucknow, Uttar Pradesh, India

Abstract

In this research, proportional (P), proportional-integral (PI), and proportional-integral-derivative (PID) controllers utilized in control systems are thoroughly compared. The study attentions on assessing system presentation with time-domain specifications such as rise time, settling time, overshoot, and steady-state error. Mathematical modeling and controller design are discussed, shadowed by analytical comparison. The results establish that while P and PI controllers offer simplicity, PID controllers provide superior performance in terms of stability and accuracy. To provide a consistent and trustworthy assessment of control performance, each controller’s behavior is examined under the same operating circumstances. Additionally, the study looks at how controller settings affect the system’s transient and steady-state responses, offering important information on how well they work in real-world control applications. The benefits and drawbacks of each controller in terms of reaction time, accuracy, robustness, and implementation complexity are compared. Additionally, the comparison study assesses each controller’s capacity to sustain intended performance under shifting operating conditions and considers the impact of parameter tweaking on overall system behavior. To show how each control strategy reacts to changes in system dynamics and outside disturbances, simulation data are examined. The results offer useful guidance for choosing controllers and modifying parameters to achieve dependable and effective control performance. To show how each control technique reacts to changes in system dynamics and outside disturbances, simulation data are also examined. The results offer helpful recommendations for choosing a suitable controller in industrial automation and process control systems based on application requirements and desired performance parameters.

Keywords: P Controller, PI Controller, PID Controller, Time Domain Analysis, Control Systems, Stability

How to cite this article: S.K. Agrawal, Ashish Mishra. Comparative Analysis of P, PI, and PID Controllers Based on Time Domain Specifications. International Journal of Advanced Control and System Engineering. 2026; 04(02):-.
How to cite this URL: S.K. Agrawal, Ashish Mishra. Comparative Analysis of P, PI, and PID Controllers Based on Time Domain Specifications. International Journal of Advanced Control and System Engineering. 2026; 04(02):-. Available from: https://journals.stmjournals.com/ijacse/article=2026/view=253129

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Ahead of Print Subscription Review Article
Volume 04
02
Received 29/07/2026
Accepted 07/08/2026
Published 22/08/2026
Publication Time 24 Days

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