Powiadomienia systemowe
- Sesja wygasła!
- Sesja wygasła!
Tytuł artykułu
Treść / Zawartość
Pełne teksty:
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
This article describes a new procedure for the design of decentralized output-feedback tracking controllers for a class of interconnected Takagi–Sugeno (TS) fuzzy systems with external bounded disturbances and measurement noise. The main idea consists in transforming the decentralized tracking control problem, by using the descriptor redundancy formulation, to a robust decentralized stabilization one. The non-parallel distributed compensation (non-PDC) controllers proposed here are synthesized to satisfy robust H∞ tracking performance with disturbance attenuation. The decentralized controllers design conditions are given in terms of LMIs via extended quadratic Lyapunov functions. Finally, simulations are presented: two numerical examples are dedicated to compare the conservatism of the proposed approach regarding the previous results available in the literature; then, the effectiveness of the decentralized controller design methodology is illustrated with a closed-loop simulation of two inverted pendulums connected by a spring.
Rocznik
Tom
Strony
225--238
Opis fizyczny
Bibliogr. 35 poz., rys., tab.
Twórcy
autor
- DAC HR Laboratory, Ferhat Abbas University Setif 1, El Bez, 19000 Sétif, Algeria
autor
- CReSTIC, EA3804, University of Reims Champagne-Ardenne, Moulin de la Housse BP1039, 51687 Reims Cedex, France
autor
- DAC HR Laboratory, Ferhat Abbas University Setif 1, El Bez, 19000 Sétif, Algeria
autor
- CReSTIC, EA3804, University of Reims Champagne-Ardenne, Moulin de la Housse BP1039, 51687 Reims Cedex, France
Bibliografia
- [1] Bakule, L. (2014). Decentralized control: Status and outlook, Annual Reviews in Control 38(1): 71–80.
- [2] Benzaouia, A., El Younsi, L. and El Hajjaji, A. (2016). Stabilization of interconnected TS fuzzy systems using LMIS, IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Vancouver, Canada, pp. 1154–1158.
- [3] Bouarar, T., Guelton, K. and Manamanni, N. (2010). Robust fuzzy Lyapunov stabilization for uncertain and disturbed Takagi–Sugeno descriptors, ISA Transactions 49(4): 447–461.
- [4] Bouarar, T., Guelton, K. and Manamanni, N. (2013). Robust non-quadratic static output feedback controller design for Takagi–Sugeno systems using descriptor redundancy, Engineering Applications of Artificial Intelligence 26(2): 739–756.
- [5] Deng, C. and Yang, G.-H. (2017). Decentralized fault-tolerant control for a class of nonlinear large-scale systems with actuator faults, Information Sciences 382–383: 334–349.
- [6] Guelton, K., Bouarar, T. and Manamanni, N. (2009). Robust dynamic output feedback fuzzy Lyapunov stabilization of Takagi–Sugeno systems—A descriptor redundancy approach, Fuzzy Sets and Systems 160(19): 2796–2811.
- [7] Guo, C., Liang, X.-G.,Wang, J.-W. And Wang, F. (2013). Robust H∞ decentralized fuzzy tracking control for bank-to-turn missiles, 32nd Chinese Control Conference (CCC), Xi’an, China, pp. 3498–3503.
- [8] Guo, C., Liang, X.-G., Wang, J.-W. and Wu, H.-N. (2015). Mixed H2/H∞ decentralized fuzzy tracking control design for a flexible air-breathing hypersonic vehicle, Proceedings of the Institution of Mechanical Engineers I: Journal of Systems and Control Engineering 229(5): 388–405.
- [9] Guo, Y., Hill, D.J. and Wang, Y. (2000). Nonlinear decentralized control of large-scale power systems, Automatica 36(9): 1275–1289.
- [10] Jabri, D., Guelton, K., Belkhiat, D.E.C. and Manamanni, N. (2018). Output-tracking controller design for switched T–S systems subject to external disturbances, 2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Rio de Janeiro, Brazil.
- [11] Jabri, D., Guelton, K. and Manamanni, N. (2011). Decentralized control of large scale switched Takagi–Sugeno systems, IEEE International Conference on Fuzzy Systems (FUZZIEEE), Taipei, Taiwan, pp. 322–328.
- [12] Jang, Y.H., Kim, H.S., Joo, Y.H. and Park, J.B. (2017). Output regulation of large-scale TS fuzzy-model-based decentralized control systems with unknown interconnection terms, IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Naples, Italy, pp. 1–6.
- [13] Kaczorek, T. (2018). Decentralized stabilization of fractional positive descriptor continuous-time linear systems, International Journal of Applied Mathematics and Computer Science 28(1): 135–140, DOI: 10.2478/amcs-2018-0010.
- [14] Kim, H.S., Park, J.B. and Joo, Y.H. (2017). Decentralized sampled-data tracking control of large-scale fuzzy systems: An exact discretization approach, IEEE Access 5: 12668–12681.
- [15] Li, Y. and Tong, S. (2017). Fuzzy adaptive control design strategy of nonlinear switched large-scale systems, IEEE Transactions on Systems, Man, and Cybernetics: Systems 48(12): 2209–2218.
- [16] Liu, X., Sun, Q. and Hou, X. (2014). New approach on robust and reliable decentralized tracking control for fuzzy interconnected systems with time-varying delay, ISRN Applied Mathematics 2014(705609): 11.
- [17] Peaucelle, D., Arzelier, D., Bachelier, O. and Bernussou, J. (2000). A new robust D-stability condition for real convex polytopic uncertainty, Systems & Control Letters 40(1): 21–30.
- [18] Qu, Q., Zhang, H., Feng, T. and Jiang, H. (2017). Decentralized adaptive tracking control scheme for nonlinear large-scale interconnected systems via adaptive dynamic programming, Neurocomputing 225: 1–10.
- [19] Schulte, H. and Guelton, K. (2006). Modelling and simulation of two-link robot manipulators based on Takagi–Sugeno fuzzy descriptor systems, 2006 IEEE International Conference on Industrial Technology, pp. 2692–2697.
- [20] Seddiki, L., Guelton, K. and Zaytoon, J. (2010). Concept and Takagi–Sugeno descriptor tracking controller design of a closed muscular chain lower-limb rehabilitation device, IET Control Theory & Applications 4(8): 1407–1420.
- [21] Tagaki, T. and Sugeno, M. (1985). Fuzzy identification of systems and its application to modelling and control, IEEE Transactions on Systems, Man, and Cybernetics 15(1): 116–132.
- [22] Tanaka, K., Hori, T. and Wang, H.O. (2003). A multiple Lyapunov function approach to stabilization of fuzzy control systems, IEEE Transactions on Fuzzy Systems 11(4): 582–589.
- [23] Tanaka, K. and Ohtake, H. (2001). Fuzzy modeling via sector nonlinearity concept, Transactions of the Society of Instrument and Control Engineers 37(4): 372–378.
- [24] Tanaka, K., Ohtake, H. and Wang, H.O. (2007). A descriptor system approach to fuzzy control system design via fuzzy Lyapunov functions, IEEE Transactions on Fuzzy Systems 15(3): 333–341.
- [25] Tong, S., Zhang, L. and Li, Y. (2016). Observed-based adaptive fuzzy decentralized tracking control for switched uncertain nonlinear large-scale systems with dead zones, IEEE Transactions on Systems, Man, and Cybernetics: Systems 46(1): 37–47.
- [26] Tseng, C.-S. and Chen, B.-S. (2001). H∞ decentralized fuzzy model reference tracking control design for nonlinear interconnected systems, IEEE Transactions on Fuzzy Systems 9(6): 795–809.
- [27] Tuan, H. D., Apkarian, P., Narikiyo, T. and Yamamoto, Y. (2001). Parameterized linear matrix inequality techniques in fuzzy control system design, IEEE Transactions on Fuzzy Systems 9(2): 324–332.
- [28] Wang, H. and Yang, G.-H. (2017). Decentralized dynamic output feedback control for affine fuzzy large-scale systems with measurement errors, Fuzzy Sets and Systems 314: 116–134.
- [29] Wang, T. and Tong, S. (2006). Decentralized fuzzy model reference H∞ tracking control for nonlinear large-scale systems, 6th World Congress on Intelligent Control and Automation (WCICA), Dalian, China, Vol. 1, pp. 75–79.
- [30] Wang, W. and Ohmori, H. (2016). Decentralized disturbance attenuation control for large-scale power system, IFAC Papers OnLine 49(4): 43–48.
- [31] Xie, L. and de Souza, C. (1992). Robust H∞ control for linear systems with norm-bounded time-varying uncertainty, IEEE Transactions on Automatic Control 37(8): 1188–1191.
- [32] Yang, J., Yang, W. and Tong, S. (2016). Decentralized control of switched nonlinear large-scale systems with actuator dead zone, Neurocomputing 200: 80–87.
- [33] Zhang, L. and Yang, G.-H. (2017). Adaptive fuzzy output constrained decentralized control for switched nonlinear large-scale systems with unknown dead zones, Nonlinear Analysis: Hybrid Systems 23: 61–75.
- [34] Zhao, B., Liu, D., Li, Y., Wei, Q. and Song, R. (2017). Adaptive dynamic programming based decentralized tracking control for unknown large-scale systems, 36th Chinese Control Conference (CCC), Dalian, China, pp. 3575–3580.
- [35] Zhong, Z., Zhu, Y. and Yang, T. (2016). Robust decentralized static output-feedback control design for large-scale nonlinear systems using Takagi–Sugeno fuzzy models, IEEE Access 4: 8250–8263.
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e087b452-b52f-46cb-9ce8-abef61b82136