Finite-Time Bounded Model-Based Event-Triggered Control for Distributed Fuzzy T-S Systems

Majlesi Journal of Electrical Engineering

مقاله 11، دوره 18، شماره 1، خرداد 2024، صفحه 117-136   

نوع مقاله: Reseach Article

شناسه دیجیتال (DOI): 10.30486/mjee.2023.1994207.1226

نویسندگان

Davood Nazari Maryam Abadi¹؛ Ali Moarefianpour^{* 2}؛ Nima Mahdian Dehkordi³

¹Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.

²Department of Electrical and Computer engineering, Islamic Azad University, Science and Research branch, Tehran, Iran

³Control department of electrical engineering, Shahid Rajaee Teacher Training University

چکیده

In this paper, the problem of model-based finite-time bounded event-triggered control for distributed fuzzy T-S systems is presented. For this purpose, the whole network model is embedded locally in both the controller and the remote telemetry unit. In order to estimate the states of the plant between two consecutive events, a fuzzy observer has been used. Model-based state estimation reduces the state error and consequently leads to reduction of data transmission instants. By the network model and event triggering block which are placed locally in each remote telemetry unit, the time of data transmission on the distributed network is determined. Finally, the finite-time boundedness of the closed-loop system has been investigated using MATLAB software for a centralized and a distributed system, respectively.

کلیدواژه‌ها

Event-Triggered Control؛ Finite-Time |Bounded؛ Fuzzy T-S Control؛ Model-Based Control؛ Uncertainties

مراجع

• Zhang, H. Wang, Y. Tian, “A T-S fuzzy state observer-based model predictive reset control for a class of fuzzy nonlinear systems with event-triggered mechanism,” Journal of the Franklin Institute, Vol. 359, No. 15, pp. 7818-7846, 2022.
• Jia, G. Ran, Y. Gong, L. Wang, F. Xu, “Dynamic Feedback Tracking Control for Interval Type-2 T-S Fuzzy Nonlinear System Based on Adaptive EventTriggered Strategy,” Neural Processing Letters, Vol. 55, pp. 1715-1740, 2023.
• Gu, M. Huangfu, “Event-triggered fault detection for T-S fuzzy systems with local nonlinear models in finite-frequency domain,” Journal of Control and Decision, Vol. 10, No. 2, pp. 250-259, 2022.
• Abd-Elhaleem, M. Soliman. M. Hamdy, “Periodic event-triggered modified repetitive control with equivalent-input-disturbance estimator based on T-S fuzzy model for nonlinear systems,” Soft Computing, Vol. 26, pp. 6443-6459, 2022.
• Li, S. Li, C. K. Ahn, Z. Xiang “Adaptive Fuzzy Event-Triggered Command-Filtered Control for Nonlinear Time-Delay Systems,” IEEE Transactions on Fuzzy Systems, Vol. 30, No. 4, pp. 1025-1035, 2022.
• Fayez; F. Bendary, M. El-hadidy, M. Mandor, “Alleviation of the Oscillation Behavior in Kundur Benchmark via Fuzzy Based Resistive Braking Scheme Considering Time Latencies and Declined Inertia,” Majlesi Journal of electrical Engineering, Vol. 15, No. 4, pp. 27-41, 2021.
• Karimi; R. Sadeghi, “Improvement of Sybil Attack Detection in Vehicular Ad-Hoc Networks Using Cross-layer and Fuzzy Logic,” Majlesi Journal of electrical Engineering, Vol. 15, No. 1, pp. 9-18, 2021.
• H. Zaeri, A. Esmaeilian-Marnani, S. Mohd Noor, “Sliding Mode Control Improvement by using Model Predictive, Fuzzy Logic, and Integral Augmented Techniques for a Quadrotor Helicopter Model,” Majlesi Journal of electrical Engineering, Vol. 13, No. 4, pp. 25-37, 2019.
• Mutia, D. Abdullah, K. Kraugusteeliana, S. A. Pramono, H. Sama, “Simulation of Solar Panel Maximum Power Point Tracking Using the Fuzzy Logic Control Method,” Majlesi Journal of electrical Engineering, Vol. 17, No. 2, pp. 29-39, 2023.
• A. Khaniki, M. Hadi, M. Manthouri, “Tuning of Novel Fractional Order Fuzzy PID Controller for Automatic Voltage Regulator using Grasshopper Optimization Algorithm,” Majlesi Journal of electrical Engineering, Vol. 15, No. 2, pp. 39-45, 2021.
• Nagamani, C. Karthik, Young Hoon Joo, “Eventtriggered observer-based sliding mode control for T-S fuzzy systems via improved relaxed-based integral inequality,” Journal of the Franklin Institute, vVol. 357, No. 14, pp. 9543-9567, 2020.
• Qing Lu, Peng Shi, Ligang Wu, Huiyan Zhang, “Eventtriggered interval Type-2 T-S fuzzy control for nonlinear networked systems,” Journal of the Franklin Institute, V 357, No. 14, pp. 9834-9852, 2020.
• Nagamani, Young Hoon Joo, G. Soundararajan, Reza Mohajerpoor, “Robust event-triggered reliable control for T-S fuzzy uncertain systems via weighted based inequality,” Information Sciences, Vol. 512, pp. 31-49, 2020.
• Di Zhang, Baozhu Du, “Event-triggered controller design for positive T-S fuzzy systems with random time-delay,” Journal of the Franklin Institute, V 359, No. 15, pp. 7796-7817, 2022.
• Yu, Y. Liu, J. Cao, F. E. Alsaadi. “Finite-Time Stability of Dynamical System Under EventTriggered Hybrid Control. Appl Math Model,” Applied Mathematical Modelling, Vol. 117, pp. 286–295, 2023.
• Li, Y-X Li, S. Tong, “Event-Based Finite-Time Control for Nonlinear Multi-Agent Systems with Asymptotic Tracking,” IEEE Transactions on Automatic Control, to be published.
• Song, X. Li, S. Tong. “Finite-Time EventTriggered Output Feedback 𝑯∞ Control for Nonlinear Systems via Interval Type-2 TakagiSugeno Fuzzy Systems,” Information Sciences, Vol. 592, pp. 67–81, 2022.
• Qi, Y. Hou, G. Zong and C. K. Ahn, “Finite-Time Event-Triggered Control for Semi-Markovian Switching Cyber-Physical Systems with FDI Attacks and Applications,” IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 68, No. 6, pp. 2665- 2674, 2021.
• Sun, J. Qiu, H. R. Karimi and Y. Fu, “EventTriggered Robust Fuzzy Adaptive Finite-Time Control of Nonlinear Systems with Prescribed Performance,” IEEE Transactions on Fuzzy Systems, Vol. 29, No. 6, pp. 1460-1471, 2021.
• Du, Y. Pan, H. Li and H. -K. Lam, “Nonsingular Finite-Time Event-Triggered Fuzzy Control for Large-Scale Nonlinear Systems,” IEEE Transactions on Fuzzy Systems, Vol. 29, No. 8, pp. 2088- 2099, 2021.
• Fei, S. Shi, C. Ki Ahn, M. V. Basin, “Finite-Time Control for Switched T–S Fuzzy Systems via a Dynamic Event-Triggered Mechanism,” IEEE Transactions on Fuzzy Systems, Vol. 29, No. 12, pp. 3899–3909, 2021.
• Song, D. W. C. Ho and Y. Niu, “Model-Based EventTriggered Sliding-Mode Control for Multi-Input Systems: Performance Analysis and Optimization,” IEEE Transactions on Cybernetics, Vol. 52, No. 5, pp. 3902-3913, 2022.
• Zhou, S. Sui, S. Tong, “Fuzzy Adaptive Finite-Time Consensus Control for High-Order Nonlinear Multiagent Systems Based on Event-Triggered,” IEEE Transactions on Fuzzy Systems, Vol. 30, No. 11, pp. 4891-4904, 2022.
• Qi, C. Zhang, G. Zong, S. -F. Su, M. Chadli, “FiniteTime Event-Triggered Stabilization for DiscreteTime Fuzzy Markov Jump Singularly Perturbed Systems,” IEEE Transactions on Cybernetics, Vol. 53, No. 7, pp. 4511-4520, 2023.
• Wang, Y. Yan, C. Ma, Z. Liu, K. Ma, C.L.P. Chen, “Fuzzy adaptive event-triggered finite-time constraint control for output-feedback uncertain nonlinear systems,” Fuzzy Sets and Systems, Vol. 443, pp. 236-257, 2022.
• Kavikumar, O. -M. Kwon, S. -H. Lee, S. Lee, R. Sakthivel, “Event-Triggered Input–Output FiniteTime Stabilization for IT2 Fuzzy Systems Under Deception Attacks,” IEEE Transactions on Fuzzy Systems, Vol. 31, No. 4, pp. 1139-1151, 2023.
• Song, P. Li, Z. Sun, Z. Wang, “Finite-Time Adaptive Fuzzy Event-Triggered Control of Constrained Nonlinear Systems via Bounded Command Filter,” IEEE Transactions on Fuzzy Systems, Vol. 31, No. 1, pp. 117-128, 2023.
• Zhang, W. -W. Che, C. Deng, Z. -G. Wu, “Prescribed Performance Control for Multiagent Systems via Fuzzy Adaptive Event-Triggered Strategy,” IEEE Transactions on Fuzzy Systems, Vol. 30, No. 12, pp. 5078- 5090, 2022.
• Liu, W. Luo and L. Wu, “Co-Design of Distributed Model-Based Control and Event-Triggering Scheme for Load Frequency Regulation in Smart Grids,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, Vol. 50, No. 9, pp. 3311–3319, 2020.
• Li, W. Song, Y. Li and S. Tong, “Finite-Time Dynamic Event-Triggered Fuzzy Output FaultTolerant Control for Interval Type-2 Fuzzy Systems,” IEEE Transactions on Fuzzy Systems, Vol. 30, No. 11, pp. 4926-4938, 2022.
• Song, X. Li, S. Tong, “Finite-time event-triggered output feedback 𝑯∞ control for nonlinear systems via interval type-2 Takagi-Sugeno fuzzy systems,” IEEE Information Sciences, Vol. 592, pp. 67-81, 2022.
• Mani, Y. Hoon Joo, “Fuzzy Event-triggered Control for Back to Back Converter involved PMSG-based Wind Turbine Systems,” IEEE Transactions on Fuzzy Systems, Vol. 30, No. 5, pp. 1409-1420, 2022.
• Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan, “Linear Matrix Inequalities in System and Control Theory,” SIAM Philadelphia PA, 1994.
• Youyi Wang, L. Xie, C. E. de Souza, “Robust Control of a Class of Uncertain Nonlinear Systems,” Systems & Control Letters, Vol. 19, pp.139–149, 1992.
• Wang, F. Yang, D. W. C. Ho, X. Li, “Robust 𝑯∞ Control for Networked Systems with Random Packet Losses,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, Vol. 37, No. 4, pp. 916–924, 2007.
• Li, X. Lin, S. Li, Y. Zou, “Finite-Time Stability of Switched Linear Systems with Subsystems Which are not Finite-Time Stable,” IET Control Theory & Application, Vol. 8, No. 12, pp. 1137–1146, 2014.
• Xia, H. Yang, P. Shi, M. Fu, “Constrained InfiniteHorizon Model Predictive Control for FuzzyDiscrete-Time Systems,” IEEE Transactions on Fuzzy Systems, Vol. 18, No. 2, pp. 429–436, 2010. 13
• M. Dehkordi, N. Sadati, M. Hamzeh, “Distributed Robust Finite-Time Secondary Voltage and Frequency Control of Islanded Microgrids,” IEEE Transactions on Power Systems, Vol. 32, No. 5, pp. 3648- 3659, 2017.
• Amiri, G.R. Arab Markadeh, N. Mahdian Dehkordi, F. Blaabjerg, “fully decentralized robust backstepping voltage control of photovoltaic systems for DC islanded microgrids based on disturbance observer method,” ISA Transactions, Vol. 101, pp. 471-481. 2020.
• H Habib Amiri, Gholamreza Arab Markadeh, Nima Mahdian Dehkordi, “Voltage control in a DC islanded microgrid based on nonlinear disturbance observer with CPLs,” Journal of Energy Storage, V 29, 2020.
• Zellagui, A. Youssef Abdelaziz, “Optimal Coordination of Directional Overcurrent Relays using Hybrid PSO-DE Algorithm,” International Electrical Engineering Journal, Vol. 6, No. 4, pp. 1841- 1849, 2015.
• Li, Z. Ji, “T-S Modeling, Simulation and Control of the Buck Converter,” 2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery.
• Benzaouia, F. Mesquine, M. Benhayoun, H. Schulte, S. Georg, “Stabilization of Positive Constrained T–S Fuzzy Systems: Application to a Buck Converter,” Journal of the Franklin Institute, Vol. 351, No. 8, pp. 4111–4123, 2014.