PID-BASED CONTROL DESIGN FOR RLC CIRCUITS: INVESTIGATING TRANSIENT MANAGEMENT AND ROBUSTNESS
Soumia Djelaila1, Ali Abderrazak Tadjeddine1,2, Linda Bellal1, Asma Ouardas1,
Ridha Ilyas Bendjillali1, Mohamed Sofiane Bendelhoum1
1LSETER Laboratory, Technology Institute, Nour Bachir University Center, El-Bayadh, Algeria
2SCAMRE Laboratory, Maurice Audin National Polytechnic School of Oran, Algeria
Abstract: This study rigorously validates the Proportional-Integral-Derivative (PID) control method as an effective and robust solution for regulating the dynamic behavior of electronic circuits. Emphasizing the critical role of precise controller tuning and comprehensive analysis, the research ensures optimal performance and stability in uncertain operating conditions. Given that electrical circuits often exhibit undesirable transient oscillations, this work focuses on enhancing the dynamic response of an RLC circuit using PID control. Key objectives include minimizing oscillations, achieving accurate setpoint tracking, and robustly rejecting disturbances. Simulation results demonstrate PID control’s effectiveness, significantly reducing overshoot (from 80.05% in open-loop to 1.22% with manual tuning) and eliminating steady-state error. A comparative analysis of tuning methods highlights trade-offs between response speed and stability. The controller exhibits strong robustness, maintaining performance despite variations in circuit parameters (R, L, C, ω₀, ζ). When tracking dynamic targets, it achieves an Integral of Absolute Error (IAE) of 0.1019, while disturbance rejection yields an IAE of 0.8109, confirming its error-correction capability. Frequency-domain analysis via Bode and Nyquist plots further verifies closed-loop stability under diverse conditions.
Keywords: PID Control, Transient regimes, Ziegler-Nichols Method, Bode and Nyquist Diagram, Damping Factor ζ, Natural Frequency .