PIDF control for high order MIMO system based on coupling compensation
References
- A
essa , S. A., Shneen , S. W.and Oudah , M. K. (2025) Optimizing PID Controller for Large-Scale MIMO Systems Using Flower Pollination Algorithm. Journal of Robotics and Control (JRC), 6(2), 553–559. https://doi.org/10.18196/jrc.v6i2.24409 - A
guiar , A. P. V.de A., Longhi , L. G. S., Acioli Júnior , G., Zani , A.and Barros , P. R. (2023) Inverted Decoupling PID Control Applied to the Reactors of a Diesel Hydrotreating Unit. Journal of Control, Automation and Electrical Systems, 34(2), 315–323. https://doi.org/10.1007/s40313-022-00977-0 - A
lfeqy , L., Abd El Munim , H. E., Maged , S. A.and Mohamed , D. (2024) BEVSORT: Bird Eye View LiDAR Multi Object Tracking. In: 2024 IEEE 22nd Mediterranean Electrotechnical Conference (MELECON), 7–12. https://doi.org/10.1109/MELECON56669.2024.10608725 - A
lfeqy , L., Abdelmunim , H. E. H., Maged , S. A.and Emad , D. (2024) Kalman Filter-Based Fusion of LiDAR and Camera Data in Bird’s Eye View for Multi-Object Tracking in Autonomous Vehicles. Sensors, 24(23), 7718. https://doi.org/10.3390/s24237718 - A
lla , R. R., Rajani , K.and Yadlapalli , R. T. (2023) Design of FOPID controller for higher order MIMO systems using model order reduction. International Journal of System Assurance Engineering and Management. https://doi.org/10.1007/s13198-023-01971-8 - A
mit , K., Shrey , K.and Lai , B. P. (2019) PD/PID-Fuzzy Logic Controller Based Tracking Control of 2-link Robot Manipulator. I-Manager’s Journal on Instrumentation and Control Engineering, 7 (2), 18. https://doi.org/10.26634/jic.7.2.16658 - A
pparasu , A., Ambati , S. R., Kumar , V.and Gara , U. B. B. (2025) Robust Smith predictor-based fractional IMC-PID controller design for improved stable SOPTD process performance. Journal of Umm Al-Qura University for Engineering and Architecture. https://doi.org/10.1007/s43995-025-00241-x - A
shmi , M., Anila , M.and Sivanandan , K. S. (2021) Comparison of SMC and PID Controllers for Pneumatically Powered Knee Orthosis. Journal of Control, Automation and Electrical Systems, 32 (5), 1153–1163. https://doi.org/10.1007/s40313-021-00775-0 - B
ekhiti , B., Iqbal , J., Hariche , K.and Fragulis , G. F. (2025) Neural Adaptive Nonlinear MIMO Control for Bipedal Walking Robot Locomotion in Hazardous and Complex Task Applications. Robotics, 14(6), 84. https://doi.org/10.3390/robotics14060084 - B
orase , R. P., Maghade , D. K., Sondkar , S. Y.and Pawar , S. N. (2021) A review of PID control, tuning methods and applications. International Journal of Dynamics and Control, 9(2), 818–827. https://doi.org/10.1007/s40435-020-00665-4 - B
oyd , S., Hast , M.and Åstr ¨om , K. J. (2016) MIMO PID tuning via iterated LMI restriction. International Journal of Robust and Nonlinear Control, 26(8), 1718–1731. https://doi.org/10.1002/rnc.3376 - E
issa , A. M., Mohamed , S. A., Awad , M. I., Abd El Munim , H. E.and Emad , D. (2026) Trajectory tracking control of autonomous underwater vehicles: a review from classical methods to AI-based approaches. International Journal of Dynamics and Control, 14 (1), 32. https://doi.org/10.1007/s40435-025-01963-5 - E
lias , F., Ekpo , S., Alabi , S., Uko , M., Enahoro , S., Ijaz , M., Ji , H., Unnikrishnan , R.and Olasunkanmi , N. (2025) Design of Multi-Sourced MIMO Multiband Hybrid Wireless RF-Perovskite Photovoltaic Energy Harvesting Subsystems for IoTs Applications in Smart Cities. Technologies, 13(3), 92. https://doi.org/10.3390/technologies13030092 - E
mad , D., Fanni , M. A.and Mohamed , A. M. (2020) New efficient technique for finite element modeling of macro fiber composite piezoelectric materials. In: Materials Science Forum: Vol. 998 MSF . https://doi.org/10.4028/www.scientific.net/MSF.998.221 - E
mad , D., Fanni , M. A., Mohamed , A. M.and Yoshida , S. (2021) Low-computational-cost technique for modeling macro fiber composite piezoelectric actuators using finite element method. Materials, 14(15). https://doi.org/10.3390/ma14154316 - E
mad , D., Mohamed , A.and Fanni , M. (2022) Modeling and Flight Control of Small UAV with Active Morphing Wings. Journal of Intelligent and Robotic Systems: Theory and Applications, 106 (2). https://doi.org/10.1007/s10846-022-01740-y - H
an , W., Hu , X., Damiran , U.and Tan , W. (2022) Design and implementation of high-order PID for second-order processes with time delay. Frontiers in Control Engineering, 3. https://doi.org/10.3389/fcteg.2022.953477 - H
osseini , M., Ranjbar Noei , A.and Rostami , S. J. S. (2023) Trajectory tracking control of an underwater vehicle in the presence of disturbance, measurement errors, and actuator dynamic and nonlinearity. Robotica, 1–20. https://doi.org/10.1017/S0263574723000875 - H
uba , M., Skrinarova , J., Vrancic , D.and Bistak , P. (2025) New Generation of Higher-Order Controllers: Leveraging PID Control for Improved System Response. IEEE Access, 13, 164567–164591. https://doi.org/10.1109/ACCESS.2025.3610297 - H
uba , M., Vrancic , D.and Bistak , P. (2024) Series PID Control With Higher-Order Derivatives for Processes Approximated by IPDT Models. IEEE Transactions on Automation Science and Engineering, 21(3), 4406–4418. https://doi.org/10.1109/TASE.2023.3296201 - I
zci , D., Ekinci , S.and Hussien , A. G. (2023) E ective PID controller design using a novel hybrid algorithm for high order systems. PLOS ONE, 18(5), e0286060. https://doi.org/10.1371/journal.pone.0286060 - K
hodadadi , H.and Ghadiri , H. (2018) Self-tuning PID controller design using fuzzy logic for half car active suspension system. International Journal of Dynamics and Control, 6(1), 224–232. https://doi.org/10.1007/s40435-016-0291-5 - K
onkov , A. E.and Mitrishkin , Y. V. (2024) Synthesis Methodology for Discrete MIMO PID Controller with Loop Shaping on LTV Plant Model via Iterated LMI Restrictions. Mathematics, 12 (6), 810. https://doi.org/10.3390/math12060810 - L
iu , X., Hao , M., Zhen , Y.and Fan , Y. (2023) Static Unstable STT Overload Control on High-order Fully Actuated System Theory. In: 2023 6th International Symposium on Autonomous Systems (ISAS), 1–6. https://doi.org/10.1109/ISAS59543.2023.10164288 - M
ai , T. A.and Dang , T. S. (2021) Optimal fuzzy PD control for a two-link robot manipulator based on stochastic fractal search. The European Physical Journal Special Topics, 230(21–22), 3935–3945. https://doi.org/10.1140/epjs/s11734-021-00339-y - M
anjeet , D.and Sathans , S. (2013) Fuzzy Based Control of Two Link Robotic Manipulator and Comparative Analysis. In: 2013 International Conference on Communication Systems and Network Technologies, 562–567. https://doi.org/10.1109/CSNT.2013.121 - N
ath , U. M., Dey , C.and Mudi , R. K. (2019) Designing of IMC-PID Controller for Higher-order Process Based on Model Reduction Method and Fractional Coe cient Filter with Real-time Verification. Chemical Product and Process Modeling, 15(3). https://doi.org/10.1515/cppm-2019-0089 - P
egram , J. P.and Anemaat , W. A. (2000) Preliminary Estimation of Airplane Moments of Inertia using CAD Solid Modeling. (May 9th, 2000). https://doi.org/10.4271/2000-01-1700 - P
rokopev , A., Nabizhanov , Z., Ivanchura , V.and Emelyanov , R. (2019) Design of Controllers for Higher Order Systems. In: 2019 International Multi-Confe-rence on Engineering, Computer and Information Sciences (SIBIRCON), 0607–0611. https://doi.org/10.1109/SIBIRCON48586.2019.8958442 - R
ojhani , N.and Shaker , G. (2024) Comprehensive Review: Effectiveness of MIMO and Beamforming Technologies in Detecting Low RCS UAVs. Remote Sensing, 16(6), 1016. https://doi.org/10.3390/rs16061016 - S
iddiqui , M. A., Anwar , M. N.and Laskar , S. H. (2020) Tuning of PIDF Controller in Parallel Control Structure for Integrating Process with Time Delay and Inverse Response Characteristic. Journal of Control, Automation and Electrical Systems, 31(4), 829–841. https://doi.org/10.1007/s40313-020-00603-x - T
ognetti , E. S.and de Oliveira , G. A. (2022) Robust State Feedback-Based Design of PID Controllers for High-Order Systems with Time-Delay and Parametric Uncertainties. Journal of Control, Automation and Electrical Systems, 33(2), 382–392. https://doi.org/10.1007/s40313-021-00846-2 - Y
in , L.and Chen , L. (2022) High-Dimensional Multiple Fractional-Order Controllers for Doubly-Fed Induction Generator-Based Wind Turbines. Journal of Control, Automation and Electrical Systems, 33(3), 822–837. https://doi.org/10.1007/s40313-021-00884
DOI: https://doi.org/10.2478/candc-2026-0008 | Journal eISSN: 1314-4081 | Journal ISSN: 1311-9702 (formerly 1314-4081)
Language: English
Page range: 231 - 273
Submitted on: May 1, 2024
Accepted on: Apr 1, 2026
Published online: Oct 31, 2026
Published in print: Jun 1, 2026
Published by: Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
In partnership with: Paradigm Publishing Services
Keywords:
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© 2026 Diaa Emad Abdel Fattah Mohamed, published by Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
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