The DOI matches its Crossref record; 69 of the 69 references it cites were found in a registry or an index.
Predictive control of interconnected fractional‐order systems with communication delays: An application for load frequency control of power system
Abstract
This research focuses on constrained model predictive control (CMPC) problem for interconnected fractional‐order systems (IFOS). Communication delays and imposed disturbances are considered in the design procedure of the control system. The dynamic equations of the IFOS are reformulated to handle the interaction delays and to obtain a model for the overall system. Then, a constrained model predictive controller is designed for the input and output (I/O) oriented model of the IFOS. To solve this control problem, a quadratic programming algorithm is utilized to obtain the optimal solution. Since most of the power systems exhibit an interconnected structure and consist of several subsystems, this study considers the load frequency control (LFC) problem for an interconnected fractional‐order power system in the presence of communication delays to evaluate the proposed technique. Numerical simulations are provided for two different cases, and the results are reported.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Citations
Cites
Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601
(1999) · Mathematics in Science and Engineering · doi:10.1016/s0076-5392(99)x8001-5 · Cited by 4,936
A new collection of real world applications of fractional calculus in science and engineering
Sun, H., Zhang, Y., Bǎleanu, D., Chen, W., & Chen, Y. (2018) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2018.04.019 · Cited by 1,827
Distributed control design for spatially interconnected systems
D’Andrea, R., & Dullerud, G. E. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2003.816954 · Cited by 823
Selected Problems of Fractional Systems Theory
Kaczorek, T. (2011) · Lecture notes in control and information sciences · doi:10.1007/978-3-642-20502-6 · Cited by 763
Analogue Realizations of Fractional-Order Controllers
Podlubny, I., Petráš, I., Vinagre, B. M., O'Leary, P., & Dorčák, Ľ. (2002) · Nonlinear Dynamics · doi:10.1023/a:1016556604320 · Cited by 628
Model predictive control power management strategies for HEVs: A review
Huang, Y., Wang, H., Khajepour, A., He, H., & Ji, J. (2017) · Journal of Power Sources · doi:10.1016/j.jpowsour.2016.11.106 · Cited by 548
Ali, E. S., & Elazim, S. M. A. (2011) · International Journal of Electrical Power & Energy Systems · doi:10.1016/j.ijepes.2010.12.022 · Cited by 486
Feedback control of large-scale systems
Lunze, J. (1992) · Cited by 467
Distributed Model Predictive Control: An Overview and Roadmap of Future Research Opportunities
(2014) · IEEE Control Systems · doi:10.1109/mcs.2014.2320397 · Cited by 383
Kalbasenka, A. N., Huesman, A. E. M., & Kramer, H. J. M. (2012) · Wiley eBooks · doi:10.1002/9783527645206.ch16 · Cited by 374
Nonlinear decentralized control of large-scale power systems
Guo, Y. P., Hill, D. J., & Wang, Y. (2000) · Automatica · doi:10.1016/s0005-1098(00)00038-8 · Cited by 339
Zhou, Q., Shi, P., Liu, H., & Xu, S. (2012) · IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) · doi:10.1109/tsmcb.2012.2196432 · Cited by 293
Sahu, B. K., Pati, S., Mohanty, P. K., & Panda, S. (2015) · Applied Soft Computing · doi:10.1016/j.asoc.2014.11.027 · Cited by 261
Prescribed performance control approaches, applications and challenges: A comprehensive survey
Bu, X. (2022) · Asian Journal of Control · doi:10.1002/asjc.2765 · Cited by 195
Load Frequency Control of an Isolated Micro Grid Using Fuzzy Adaptive Model Predictive Control
Kayalvizhi, S., & Kumar, D. M. V. (2017) · IEEE Access · doi:10.1109/access.2017.2735545 · Cited by 181
Huo, X., Karimi, H. R., Zhao, X., Wang, B., & Zong, G. (2021) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2020.3037321 · Cited by 181
Ma, M., Wang, T., Qiu, J., & Karimi, H. R. (2020) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2020.3009727 · Cited by 176
Fractional systems state space description: some wrong ideas and proposed solutions
Sabatier, J., Farges, C., & Trigeassou, J. (2013) · Journal of Vibration and Control · doi:10.1177/1077546313481839 · Cited by 173
Adaptive receding horizon control for constrained MIMO systems
Tanasković, M., Fagiano, L., Smith, R. S., & Morari, M. (2014) · Automatica · doi:10.1016/j.automatica.2014.10.036 · Cited by 172
FRACTIONAL - ORDER FEEDBACK CONTROL OF A DC MOTOR
Petraÿs, I. (2009) · Cited by 167
PID controller adjustment using chaotic optimisation algorithm for multi-area load frequency control
Farahani, M., Ganjefar, S., & Alizadeh, M. (2012) · IET Control Theory and Applications · doi:10.1049/iet-cta.2011.0405 · Cited by 159
Pan, I., & Das, S. (2015) · Applied Soft Computing · doi:10.1016/j.asoc.2014.12.032 · Cited by 155
Adaptive Fuzzy Control for Fractional-Order Interconnected Systems With Unknown Control Directions
Liang, B., Zheng, S., Ahn, C. K., & Liu, F. (2020) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2020.3031694 · Cited by 142
Zhang, Z., Wang, R., Zhang, T., Liu, Y., & Guo, B. (2016) · IET Generation Transmission & Distribution · doi:10.1049/iet-gtd.2015.1127 · Cited by 131
Zhang, D., Nguang, S. K., & Yu, L. J. (2017) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2017.2681702 · Cited by 120
Kumar, M., & Hote, Y. V. (2020) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2020.3043447 · Cited by 112
Distributed Control of Battery Energy Storage Systems for Improved Frequency Regulation
Zhao, T., Parisio, A., & Milanović, J. V. (2020) · IEEE Transactions on Power Systems · doi:10.1109/tpwrs.2020.2974026 · Cited by 110
Optimization of Fractional-Order RLC Filters
Radwan, A. G., & Fouda, M. E. (2013) · Circuits Systems and Signal Processing · doi:10.1007/s00034-013-9580-9 · Cited by 107
A survey of single and multi-component Fractional-Order Elements (FOEs) and their applications
Shah, Z. M., Kathjoo, M. Y., Khanday, F. A., Biswas, K., & Psychalinos, C. (2018) · Microelectronics Journal · doi:10.1016/j.mejo.2018.12.010 · Cited by 103
Editorial: Fractional Calculus and Its Applications in Physics
Kumar, D., & Bǎleanu, D. (2019) · Frontiers in Physics · doi:10.3389/fphy.2019.00081 · Cited by 103
Modeling of the national economies in state-space: A fractional calculus approach
Škovránek, T., Podlubný, I., & Petráš, I. (2012) · Economic Modelling · doi:10.1016/j.econmod.2012.03.019 · Cited by 100
Li, H., & Shi, Y. (2014) · Automatica · doi:10.1016/j.automatica.2014.02.031 · Cited by 97
Chidambaram, I. A., & Paramasivam, B. (2012) · Journal of Power Sources · doi:10.1016/j.jpowsour.2012.06.048 · Cited by 79
Mohammadikia, R., & Aliasghary, M. (2018) · International Transactions on Electrical Energy Systems · doi:10.1002/etep.2735 · Cited by 76
Self-citationOnyeka, A. E., Yan, X., Mao, Z., Jiang, B., & Zhang, Q. (2019) · IET Control Theory and Applications · doi:10.1049/iet-cta.2019.0809 · Cited by 66
Chen, M.-R., Zeng, G., & Xie, X. (2018) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2018.08.020 · Cited by 59
Stabilising model predictive control for discrete-time fractional-order systems
Sopasakis, P., & Sarimveis, H. (2016) · Automatica · doi:10.1016/j.automatica.2016.09.014 · Cited by 58
Predictor methods for decentralized control of large-scale systems with input delays
Zhu, Y., & Fridman, E. (2020) · Automatica · doi:10.1016/j.automatica.2020.108903 · Cited by 58
Optimal Load Frequency Control for Networked Power Systems Based on Distributed Economic MPC
Jia, Y., Meng, K., Wu, K., Sun, C., & Dong, Z. Y. (2020) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2020.3019444 · Cited by 56
Fu, C., & Tan, W. (2017) · IET Generation Transmission & Distribution · doi:10.1049/iet-gtd.2017.0852 · Cited by 52
A Fractional-Order Wireless Power Transfer System Insensitive to Resonant Frequency
Jiang, Y., & Zhang, B. (2019) · IEEE Transactions on Power Electronics · doi:10.1109/tpel.2019.2946964 · Cited by 48
Son, N. T. K., Dong, N. P., Long, H. V., Sơn, L. H., & Khastan, A. (2019) · ISA Transactions · doi:10.1016/j.isatra.2019.08.006 · Cited by 46
Adaptive fractional-order blood glucose regulator based on high-order sliding mode observer
Delavari, H., Heydarinejad, H., & Bǎleanu, D. (2018) · IET Systems Biology · doi:10.1049/iet-syb.2018.5016 · Cited by 44
Hang, P., Huang, S., Chen, X., & Tan, K. K. (2020) · Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering · doi:10.1177/0959651820937844 · Cited by 44
Real‐time vehicle detection and tracking using 3D LiDAR
Wang, H., & Zhang, X. (2021) · Asian Journal of Control · doi:10.1002/asjc.2519 · Cited by 41
Bifurcation, Chaos and its Control in A Fractional Order Power System Model with Uncertainties
Rajagopal, K., Karthikeyan, A., Duraisamy, P., Weldegiorgis, R., & Tadesse, G. (2018) · Asian Journal of Control · doi:10.1002/asjc.1826 · Cited by 39
Guo, Z., Li, S., & Zheng, Y. (2018) · Asian Journal of Control · doi:10.1002/asjc.1906 · Cited by 39
Yang, D., Wang, B., Cai, G., Ma, J., Tian, J., Chen, Z., & Wang, L. (2020) · IET Generation Transmission & Distribution · doi:10.1049/iet-gtd.2020.0018 · Cited by 38
Zhu, Y., & Fridman, E. (2020) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2020.3011396 · Cited by 37
Zhou, J., Wu, X., Lv, Y., Li, X., & Liu, Z. (2021) · Asian Journal of Control · doi:10.1002/asjc.2685 · Cited by 36
Distributed preview control for large-scale systems with time-varying delay
Li, L., & Zhang, Y. (2020) · ISA Transactions · doi:10.1016/j.isatra.2020.09.005 · Cited by 35
Pradhan, S. K., & Das, D. K. (2021) · Journal of Modern Power Systems and Clean Energy · doi:10.35833/mpce.2019.000206 · Cited by 33
Lin, J. (2013) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2013.11.016 · Cited by 32
Xu, H., Liu, S., Wang, B., & Wang, J. (2022) · IEEE Transactions on Intelligent Vehicles · doi:10.1109/tiv.2022.3163773 · Cited by 28
Decentralized sliding mode control of fractional-order large-scale nonlinear systems
Majidabad, S. S., Shandiz, H. T., & Hajizadeh, A. (2014) · Nonlinear Dynamics · doi:10.1007/s11071-014-1278-4 · Cited by 27
Hu, C., Zou, Y., & Li, S. (2021) · Asian Journal of Control · doi:10.1002/asjc.2662 · Cited by 26
Ghorbani, M., Tavakoli‐Kakhki, M., & Estarami, A. A. (2019) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2019.08.035 · Cited by 25
Self-citationBoukal, Y., Darouach, M., Zasadziński, M., & Radhy, N. E. (2017) · IET Control Theory and Applications · doi:10.1049/iet-cta.2017.0264 · Cited by 22
Dynamic event‐triggered distributed interval functional observers for interconnected systems
Huong, D. C., & Trinh, H. M. (2022) · Asian Journal of Control · doi:10.1002/asjc.2890 · Cited by 22
Robust decentralised stabilisation of interval discrete-time singular large-scale systems
Mao, W., & Chu, J. (2010) · IET Control Theory and Applications · doi:10.1049/iet-cta.2008.0600 · Cited by 21
Pham, N. T., Nahavandi, S., Trinh, H., & Hien, L. V. (2017) · International Journal of Electrical Power & Energy Systems · doi:10.1016/j.ijepes.2017.05.016 · Cited by 20
Vasu, G., & Ramraj, C. B. N. (2021) · International Journal of Modelling and Simulation · doi:10.1080/02286203.2021.1969715 · Cited by 20
Babaghorbani, B., Beheshti, M. T. H., & Talebi, H. A. (2019) · Asian Journal of Control · doi:10.1002/asjc.2149 · Cited by 18
Aliasghary, M., & Mohammadikia, R. (2021) · Soft Computing · doi:10.1007/s00500-021-06542-2 · Cited by 16
Self-citationSensitivity-based hierarchical distributed model predictive control of nonlinear processes
Yu, T., Zhao, J., Xu, Z., Chen, X., & Biegler, L. T. (2019) · Journal of Process Control · doi:10.1016/j.jprocont.2019.10.003 · Cited by 11
Adaptive Type-2 Fuzzy PID LFC for an Interconnected Power System Considering Input Time-Delay
Sabahi, K., Hajizadeh, A., Tavan, M., & Feliachi, A. (2021) · International Journal of Fuzzy Systems · doi:10.1007/s40815-020-01017-2 · Cited by 11
Aliahmadi, H., Tavakoli‐Kakhki, M., & Khaloozadeh, H. (2020) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2020.105345 · Cited by 5
Self-citationModel Predictive Control: Design and implementation using MATLAB (T-3)
Wang, L. (2009) · 2009 American Control Conference · doi:10.1109/acc.2009.5159781
Cited by
Load Frequency Control for Markov Jump Wind Power Systems Under Hybrid Attacks
Liu, X., Zhang, F., Ge, C., Sun, K., & Ding, L. (2026) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.70803
Metadata
- Authors
- Mohammadikia, R., & Tavakoli‐Kakhki, M.
- Affiliations
- K. N. Toosi University of Technology (IR)
- Corresponding author
- Tavakoli‐Kakhki, Mahsan
- Venue
- Asian Journal of Control
- Publisher
- Wiley
- Published
- 2024-11-19
- Volume
- 27
- Issue
- 4
- Pages
- 2002-2022
- ISSN
- 1561-8625 (ISSN-L)
- 1934-6093
- OpenAlex
- W4404512097
- Semantic Scholar
- d4a22f19cce92b5094bd3483a2f6c8fca4243801
- Cited by
- 1
- References
- 68
- Citations by year
- 2026: 1
- FWCI
- 0.12
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Asian Journal of Control (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Optimization
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Frequency Control in Power Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Keywords
- constrained model predictive control, communication delay, load frequency control, power systems, quadratic programming, disturbance handling
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.