| تعداد نشریات | 31 |
| تعداد شمارهها | 834 |
| تعداد مقالات | 8,015 |
| تعداد مشاهده مقاله | 14,854,270 |
| تعداد دریافت فایل اصل مقاله | 9,587,425 |
Robust nonfragile H∞filtering for fuzzy fractional order systems with uncertainties | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 21، شماره 3، مرداد و شهریور 2024، صفحه 1-17 اصل مقاله (1.61 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2024.45384.8019 | ||
| نویسندگان | ||
| Bingxin Li* 1؛ Xuefeng Zhang2؛ Xin Zhao1 | ||
| 1Tianjin, China | ||
| 2no. 3 wenhua road heping district | ||
| چکیده | ||
| The problem of robust nonfragile H∞filtering for fuzzy fractional order (FFO) systems 0 < α < 1 with uncertainties is studied. First, a new sufficient condition of H∞ control for fractional order systems is given to overcome the shortcoming of solving the complex matrix. Then, based on the condition and the linear matrix inequality (LMI) approach, the conditions of robust H∞ control for FFO systems are proposed, which can guarantee the prescribed noise attenuation level in the H∞ sense. Furthermore, the FFO filter is constructed, and sufficient conditions are proposed for FFO filter systems. Finally, two examples are given to verify the effectiveness of our conditions. | ||
| کلیدواژهها | ||
| Nonfragile H∞ filtering؛ fuzzy fractional order (FFO) systems؛ linear matrix inequality (LMI) | ||
| مراجع | ||
|
[1] Y. Boukal, M. Darouach, M. Zasadzinski, N. E. Radhy, Robust H∞ observer based control of fractionalorder systems with gain parametrization, IEEE Transactions on Automatic Control, 62(11) (2017), 5710-5723. ttps://ieeexplore.ieee.org/abstract/document/7890403 [2] N. A. Camacho, M. D. Mermoud, J. A. Gallegos, Lyapunov functions for fractional order systems, Communications in Nonlinear Science and Numerical Simulation, 19 (2014), 2951-2957. https://doi.org/10.1016/j.cnsns.2014.01.022 [3] L. P. Chen, R. C. Wu, L. G. Yuan, L. S. Yin, Y. Q. Chen, S. Q. Xu, Guaranteed cost control of fractional-order linear uncertain systems with time-varying delay, Optimal Control Applications and Methods, 42(4) (2021), 1102-1118.https://doi.org/10.1002/oca.2718 [4] R. J. Cui, J. G. Lu, H−/H∞ fault detection observer design for fractional-order singular systems in finite frequency domains, ISA Transactions, 129(8) (2022), 100-109. https://doi.org/10.1016/j.isatra.2022.02.04 [5] C. Farges, L. Fadiga, J. Sabatier, H∞ analysis and control of commensurate fractional order systems, Mechatronics, 23(7) (2013), 772-780. https://doi.org/10.1016/j.mechatronics.2013.06.005 [6] C. Farges, M. Moze, J. Sabatier, Pseudo-state feedback stabilization of commensurate fractional order systems, Automatica, 46 (2010), 1730-1734. https://ieeexplore.ieee.org/abstract/document/4982688 7] Z. G. Feng, P. Shi, Admissibilization of singular interval-valued fuzzy systems, IEEE Transactions on Fuzzy Systems, 25(6) (2017), 1765-1776. https://ieeexplore.ieee.org/abstract/document/7762091 [8] S. M. Hu, L. Y. Chen, H. Liu, Adaptive fuzzy variable structure control of fractional-order nonlinear systems with input nonlinearities, International Journal of Fuzzy Systems, 23(7) (2021), 2309-2323. https://doi.org/10.1007/s40815-020-00814-z [9] C. Hua, S. Wu, X. Guan, Stabilization of T-S fuzzy system with time delay under sampled-data control using a new looped-functional, IEEE Transactions on Fuzzy Systems, 28(2) (2020), 400-407. https://ieeexplore.ieee.org/abstract/document/8668823 [10] D. C. Huong, M. V. Thuan, Mixed H∞ and passive control for fractional-order nonlinear systems via LMI approach, Acta Applicandae Mathematicae, 170 (2020), 37-52. https://doi.org/10.1007/s10440-020-00323-z [11] Y. D. Ji, L. Q. Su, J. Q. Qiu, Design of fuzzy output feedback stabilization for uncertain fractional-order systems, Neurocomputing, 173(3) (2016), 1683-1693. https://ieeexplore.ieee.org/abstract/document/8788632 [12] M. A. L. Khaniki, M. Manthouri, M. A. Khanesar, Adaptive non-singular fast terminal sliding mode control and synchronization of a chaotic system via interval type-2 fuzzy inference system with proportionate controller, Iranian Journal of Fuzzy Systems, 20(6) (2023), 171-185. https://doi.org/10.22111/IJFS.2023.39658.6889 [13] Y. Li, Y. Q. Chen, I. Podlubny, Mittag-Leffler stability of fractional order nonlinear dynamic systems, Automatica, 45(8) (2009), 1965-1969. https://doi.org/10.1016/j.automatica.2009.04.003 [14] H. Li, G. H. Yang, Dynamic output feedback H∞ control for fractional-order linear uncertain systems with actuator faults, Journal of the Franklin Institute, 356(8) (2019), 442-446. https://doi.org/10.1016/j.jfranklin.2019.04.004 [15] S. Liang, Y. H. Wei, J. W. Pan, Q. Gao, Y. Wang, Bounded real lemmas for fractional order systems, International Journal of Automation and Computing, 12(2) (2015), 192-198. https://doi.org/10.1007/s11633-014-0868-4 [16] L. P. Liu, X. Y. Cao, Z. M. Fu, S. Z. Song, H. Xing, Guaranteed cost finite-time control of fractional-order nonlinear positive switched systems with D-perturbations via MDT, Journal of Systems Science and Complexity, 32 (2019), 857-874. https://doi.org/10.1007/s11424-018-7347-x [17] J. G. Lu, Y. Q. Chen, Robust stability and stabilization of fractionalorder interval systems with the fractional order α: The 0 < α < 1 case, IEEE Transactions on Automatic Control, 55(1) (2010), 152-158. https://ieeexplore.ieee.org/abstract/document/4982688 [18] P. Mani, R. Rajan, L. Shanmugam, H. Y. Joo, Adaptive fractional fuzzy integral sliding mode control for PMSM model, IEEE Transactions on Fuzzy Systems, 27(8) (2019), 1674-1686. https://ieeexplore.ieee.org/abstract/document/8571254 [19] J. H. Ning, C. C. Hua, H∞ output feedback control for fractional-order T-S fuzzy model with time-delay, Applied Mathematics and Computation, 416 (2022), 126736. https://doi.org/10.1016/j.amc.2021.126736 [20] I. Podlubny, Geometric and physical interpretation of fractional integration and fractional differentiation, Fractional Calculus and Applied Analysis, 5 (2002), 367-386. https://doi.org/10.48550/arXiv.math/0110241 [21] R. E. Precup, A. T. Nguyen, S. Blaˇziˇc, A survey on fuzzy control for mechatronics applications, International Journal of Systems Science, 55(4) (2023), 771-813. https://doi.org/10.1080/00207721.2023.2293486 [22] R. E. Precup, S. Preitl, E. Petriu, C. A. Bojan-Dragos, A. I. Szedlak-Stinean, R. C. Roman, E. L. Hedrea, Modelbased fuzzy control results for networked control systems, Reports in Mechanical Engineering, 1(1) (2020), 10-25. https://doi.org/10.31181/rme200101010p [23] C. Rao, S. Mitra, Generalized inverse of matrices and its applications, Wiley, 1971. https://doi.org/10.1525/97 80520 325883-032 [24] W. J. Ren, N. Hou, Q. Wang, Y. Lu, X. H. Liu, Non-fragile H∞ filtering for nonlinear systems with randomly occurring gain variations and channel fadings, Neurocomputing, 156(25) (2015), 176-185. https://doi.org/10.1016/j.neucom.2014.12.065 [25] A. Sala, C. Arino, Relaxed stability and performance LMI conditions for Takagi-Sugeno fuzzy systems with polynomial constraints on membership function shapes, IEEE Transactions on Fuzzy Systems, 16(5) (2008), 1328-1336. https://ieeexplore.ieee.org/abstract/document/4534857 [26] K. Tanaka, T. Hori, H. O. Wang, A multiple Lyapunov function approach to stabilization of fuzzy control systems, IEEE Transactions on Fuzzy Systems, 11(4) (2003), 582-589. https://ieeexplore.ieee.org/abstract/document/ 1220303 [27] X. N. Tang, D. Zhai, Z. M. Fu, H. M. Wang, Output feedback adaptive fuzzy control for uncertain fractional-order nonlinear switched system with output quantization, International Journal of Fuzzy Systems, 22(3) (2020), 943-955. https://doi.org/10.1007/s40815-020-00814-z [28] M. L. Tomescu, S. Preitl, R. E. Precup, J. K. Tar, Stability analysis method for fuzzy control systems dedicated controlling nonlinear processes, Acta Polytechnica Hungarica, 4(3) (2007), 127-141. https://acta.uniobuda.hu//Issue11.htm
[29] L. X. Wang, Hierarchical fuzzy opinion networks: Top-down for social organizations and bottom-up for election, IEEE Transactions on Fuzzy Systems, 28(7) (2020), 1265-1275. https://ieeexplore.ieee.org/abstract/document/ 8957283 [30] Z. Wang, D. Y. Xue, F. Pan, Observer-based robust control for singular switched fractional order systems subject to actuator saturation, Applied Mathematics and Computation, 411 (2021), 126538. https://doi.org/10.1016 /j.amc.2021.126538 [31] H. N. Wu, H. X. Li, H∞ fuzzy observer-based control for a class of nonlinear distributed parameter systems with control constraints, IEEE Transactions on Fuzzy Systems, 16(2) (2008), 502-516. https://ieeexplore.ieee.org/abstract/ document/4469891 [32] H. N. Wu, J. W. Wang, H. X. Li, Design of distributed H∞ fuzzy controllers with constraint for nonlinear hyperbolic PDE systems, Automatica, 48(10) (2012), 2535-2543. https://doi.org/10.1016/j.automatica.2012.06.043 [33] L. H. Xie, Output feedback H∞ control of systems with parameter uncertainty, International Journal of Control, 63(4) (1996), 741-750. https://doi.org/10.1080/00207179608921866 [34] W. Xie, Y. Wang, J. Zhang, M. Fu, Novel separation principle based H∞ observer controller design for a class of T-S fuzzy systems, IEEE Transactions on Fuzzy Systems, 26(6) (2018), 3206-3221. https://ieeexplore.ieee.org/abstract/ document/8314705 [35] Y. Q. Yan, H. G. Zhang, Z. Y. Ming, Y. C. Wang, Observer-based adaptive control and faults estimation for T-S fuzzy singular fractional order systems, Neural Computing and Applications, 34 (2022), 4265-4275. https://doi.org/10.1007/s00521-021-06527-0 [36] X. F. Zhang, W. K. Huang, Q. G. Wang, Robust H∞ adaptive sliding mode fault tolerant control for T-S fuzzy fractional order systems with mismatched disturbances, IEEE Transactions on Circuits and Systems I: Regular Papers, 68(3) (2021), 1297-1307. https://ieeexplore.ieee.org/abstract/document/9281103 [37] X. F. Zhang, K. J. Jin, Design of non-fragile controller for singular fractional order Takagi-Sugeno fuzzy systems, International Journal of Fuzzy Systems, 22(4) (2020), 1289-1298. https://doi.org/10.1007/s40815-020-00822-z [38] X. F. Zhang, C. Lin, Y. Q. Chen, D. Boutat, A unified framework of stability theorems for LTI fractional order systems with 0 < α < 2, IEEE Transactions on Circuits and Systems II: Express Briefs, 67(12) (2020), 3237-3241. https://ieeexplore.ieee.org/abstract/document/9026796 [39] Q. H. Zhang, J. G. Lu, H∞ control for singular fractional-order interval systems: The 0 < α < 1 case, ISA Transactions, 110 (2021), 105-116. https://doi.org/10.1016/j.isatra.2020.10.003 [40] Y. Zhang, Y. Ma, L. Fu, W. Zhao, X. Huang, Finite-time non-fragile H∞ sampled-data control for uncertain T-S fuzzy system with time-varying delay and nonlinear perturbation subject to Markovian jump, ISA Transactions, 99 (2020), 59-73. https://doi.org/10.1016/j.isatra.2019.09.007 [41] X. F. Zhang, Z. Wang, Stability and robust stabilization of uncertain switched fractional order systems, ISA Transactions, 103 (2020), 1-9. https://doi.org/10.1016/j.isatra.2020.03.01
| ||
|
آمار تعداد مشاهده مقاله: 511 تعداد دریافت فایل اصل مقاله: 559 |
||