Matias Alberto Fernandez Jorquera

Mr. Matias Alberto Fernandez Jorquera

orcid

Research Focus & Metrics

Academic Career Length

2Years (2025-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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8 April 2025 in Fractal and Fractional
Verified
Journal Article
Open access
PDF file
MJMatias Alberto Fernandez Jorquera
Matias Alberto Fernandez Jorquera
MZMarco Zepeda-Rabanal
Marco Zepeda-Rabanal
Norelys Aguila-CamachoNorelys Aguila-Camacho
Norelys Aguila-Camacho
Lisbel Bárzaga MartellLisbel Bárzaga Martell
Lisbel Bárzaga Martell
Stabilizing inverted pendulum systems remains a challenging and open control problem due to their inherent instability and relevance in a wide range of real-world applications, including robotics and aerospace systems. While PID and fractional-order PID (FOPID) controllers offer distinct advantages, they individually suffer from trade-offs between performance and control energy. This paper presents the design, implementation, and experimental validation of a switched SW FOPID-PID controller for the stabilization of an inverted pendulum (InvP) system, aiming to achieve an improved balance between system performance and control energy used. The controller was tuned offline using particle swarm optimization (PSO) and a mathematical model of the system for simulation. Additional PID and FOPID controllers were also designed, tuned and validated for comparison purposes. Their performance was assessed through key indicators, including ITAE, ISI, settling time, peak values, and variance and compared against a manufacturer-provided PID controller. The experimental results demonstrated that all three designed controllers outperformed the manufacturer’s PID under nominal conditions. The SW FOPID-PID controller achieved the best overall performance, balancing control energy efficiency and response quality. Under external disturbances, the FOPID and SW FOPID-PID controllers exhibited superior robustness, with the switched controller being the most effective, responding quickly to disturbances while minimizing positional and angular errors. Still, this research is limited to a specific plant and switching strategy; thus, further validation on other systems and switching criteria is necessary to generalize these findings.

4 March 2025 in Preprints.org
Verified
Preprint
Open access
PDF file
MJMatias Alberto Fernandez Jorquera
Matias Alberto Fernandez Jorquera
MZMarco Zepeda-Rabanal
Marco Zepeda-Rabanal
Norelys Aguila-CamachoNorelys Aguila-Camacho
Norelys Aguila-Camacho
Lisbel Bárzaga MartellLisbel Bárzaga Martell
Lisbel Bárzaga Martell
This paper presents the design, implementation, and experimental validation of a switched SW FOPID-PID controller for the stabilization of an inverted pendulum (InvP) system. Additional PID and Fractional Order PID (FOPID) controllers were also designed, tuned and validated for comparison purposes. The controllers were tuned offline using Particle Swarm Optimization (PSO) and a mathematical model of the system for simulation. Their performance was assessed through key indicators, including ITAE, ISI, settling time, peak values, and variance, and compared against a manufacturer-provided PID controller. Experimental results demonstrated that all three designed controllers outperformed the manufacturer’s PID under nominal conditions. The SW FOPID-PID controller achieved the best overall performance, balancing control energy efficiency and response quality. Under external disturbances, the FOPID and SW FOPID-PID controllers exhibited superior robustness, being the switched controller the most effective, responding quickly to disturbances while minimizing positional and angular errors.