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طراحی کنترل کننده مود لغزشی ∞H برای سیستم های تکین دارای گذار مارکوفی گسسته در زمان در حضور تاخیر زمانی | ||
| مجله مهندسی برق دانشگاه تبریز | ||
| مقاله 10، دوره 54، شماره 2 - شماره پیاپی 108، مرداد 1403، صفحه 229-237 اصل مقاله (802.05 K) | ||
| نوع مقاله: علمی-پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22034/tjee.2023.17015 | ||
| نویسندگان | ||
| زینب فلاح1؛ مهدی برادران نیا* 2؛ حامد خراطی3؛ فرزاد هاشم زاده2 | ||
| 1دانشکده مهندسی برق و کامپیوتر، دانشگاه تبریز | ||
| 2عضو هیات علمی دانشگاه تبریز | ||
| 3عضو هیات علمی دانشکده برق و کامپیوتر | ||
| چکیده | ||
| This article addresses the problem of sliding mode control (SMC) for discrete-time delayed singular Markovian jump systems (MJSs) subject to parameter uncertainties and both of matched/mismatched disturbances. The transition probabilities of the Markov chain are considered to have partially unknown entries. Firstly, a sliding surface is proposed by taking the singular matrix into account, and hence the resultant dynamics of the sliding mode system becomes a full order delayed singular MJS. Secondly, the problem of bounded real lemma for the dynamics of the sliding mode system is investigated using the Lyapunov–Krasovskii functional. A delay-dependent solvability condition for the desired sliding surface is derived as linear matrix inequalities (LMIs), which guarantees that the dynamics of the sliding mode system to be robust stochastically admissible and satisfies the performance. The slack matrix technique is utilized together with the delay partitioning approach to diminish the conservatism of the obtained condition. Thirdly, a sliding mode controller is synthesized to ensure that the sliding surface is reachable. Finally, two numerical examples are given to show the improved conservatism and the adequacy of the proposed design method. | ||
| کلیدواژه‌ها | ||
| کنترل مود لغزشی؛ سیستم های دارای گذار مارکوفی؛ سیستم های تکین دارای تاخیر زمانی؛ تابع لیاپانوف-کراسوفسکی؛ کنترل ∞H | ||
| مراجع | ||
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[1] G. Zhuang, S. Xu, J. Xia, Q. Ma, Z. Zhang, “Non-fragile delay feedback control for neutral stochastic Markovian jump systems with time-varying delays, Applied Mathematics and Computation”, 355 , 2019, pp. 21–32. [2] T. Saravanakumar, S. M. Anthoni, Q. Zhu, “Resilient extended dissipative control for Markovian jump systems with partially known transition probabilities under actuator saturation”, Journal of the Franklin Institute, 357(10), 2020, pp. 6197–6227. [3] P. Zhang, J. Hu, H. Zhang, D. Chen, “ sliding mode control for Markovian jump systems with randomly occurring uncertainties and repeated scalar nonlinearities via delay-fractioning method”, ISA transactions, 101, 2020, pp. 10–22. [4] M. Bahreini, J. Zarei, “Robust finite-time fault-tolerant control for networked control systems with random delays: A Markovian jump system approach”, Nonlinear Analysis: Hybrid Systems, 36, 2020 , pp. 100873. [5] M. S. Ali, R. Agalya, V. Shekher, Y. H. Joo, “Non-fragile sampled data control for stabilization of non-linear multi-agent system with additive time varying delays, Markovian jump and uncertain parameters”, Nonlinear Analysis: Hybrid Systems, 36, 2020, pp. 100830. [6] H. Che, S. Zeng, J. Guo, “Semi‐Markov reliability model of manufacturing systems considering machine degradation, human errors, and their mutual facilitation effects”, Quality and Reliability Engineering International, 38(5), 2022, pp. 2586-2605. [7] P. Haghighi, B. Tavassoli, “Static output feedback control of uncertain systems over uncertain communication links with guaranteed performance”, International Journal of Robust and Nonlinear Control, 31(5), 2021, pp. 1514–1529. [8] محسن بحرینی، جعفر زارعی، "طراحی کنترل کننده فیدبک خروجی تحمل پذیر عیب مقاوم برای کلاسی از سیستم های کنترل تحت شبکه با در نظر گرفتن مدل جدید برای عیب عملگر"، مجله مهندسی برق دانشگاه تبریز، جلد 50، شماره 1، بهار 1399، صفحه 19-29. [9] Z. Yan, Y. Song, J. H. Park, “Finite-time control for linear itˆo stochastic Markovian jump systems: mode-dependent approach”, IET Control Theory & Applications, 14(20), 2020, pp. 3557-3567. [10] H. Yang, S. Yin, O. Kaynak, “Neural network-based adaptive fault-tolerant control for Markovian jump systems with nonlinearity and actuator faults”, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(6), 2020, pp. 3687-3698. [11] X. Wang, Y. Ma, “Observer-based finite-time asynchronous sliding mode control for Markov jump systems with time-varying delay”, Journal of the Franklin Institute, 359(11), 2022, pp. 5488-5511. [12] HM. Soliman, H. Alazki, AS. Poznyak, “Robust stabilization of power systems subject to a series of lightning strokes modeled by Markov jumps: Attracting ellipsoids approach”, Journal of the Franklin Institute, 359(8), 2022, pp. 3389-3404. [13] L. Li, Q. Zhang, B. Zhu, “Fuzzy stochastic optimal guaranteed cost control of bio-economic singular Markovian jump systems”, IEEE transactions on cybernetics, 45(11), 2015, pp. 2512–2521. [14] P. Haghighi, B. Tavassoli, “Robust output feedback design for networked control systems with partially known delay probabilities”, Optimal Control Applications and Methods, 41 (4), 2020, pp. 1052–1067. [15] M. Chadli, M. Darouach, “Further enhancement on robust control design for discrete-time singular systems”, IEEE Transactions on Automatic Control, 59 (2), 2013, pp. 494–499. [16] S. Long, Y. Wu, S. Zhong, D. Zhang, “Stability analysis for a class of neutral type singular systems with time-varying delay”, Applied Mathematics and Computation, 339, 2018, pp. 113–131. [17] M. Li, L. Sun, R. Yang, “Finite-time control for a class of discrete-time nonlinear singular systems, Journal of the Franklin Institute”, 355(13), 2018, pp. 5384–5393. [18] Y. Yang, C. Lin, B. Chen, “Nonlinear observer design for one-sided lipschitz discrete-time singular systems with time-varying delay”, International Journal of Robust and Nonlinear Control, 29(1), 2019, pp. 252–267. [19] M. Bahreini, J. Zarei, R. Razavi-Far, M. Saif, “Robust and reliable output feedback control for uncertain networked control systems against actuator faults”, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 52(4), 2021, pp. 2555-2566. [20] Y. Ma, X. Jia, Q. Zhang, “Robust observer-based finite-time control for discrete-time singular Markovian jumping system with time delay and actuator saturation”, Nonlinear Analysis: Hybrid Systems, 28, 2018 ,pp. 1–22. [21] M. Ahmadi, A.R. Faraji, “Optimized Adaptive Combined Hierarchical Sliding Mode Controller Design for a Class of Uncertain Under-actuated Time-Varying Systems”, TABRIZ JOURNAL OF ELECTRICAL ENGINEERING, 51(2), 2021, pp. 161-167. [22] X. Su, X. Liu, P. Shi, Y.-D. Song, “Sliding mode control of hybrid switched systems via an event-triggered mechanism”, Automatica, 90, 2018, pp. 294–303. [23] Z. Liu, H. R. Karimi, J. Yu, “Passivity-based robust sliding mode synthesis for uncertain delayed stochastic systems via state observer”, Automatica, 111 , 2020, pp. 108596. [24] J. Song, Y. Niu, Y. Zou, “Asynchronous sliding mode control of Markovian jump systems with time-varying delays and partly accessible mode detection probabilities”, Automatica, 93 ,2018 , pp. 33–41. [25] J. Lee, P. H. Chang, M. Jin, “Adaptive integral sliding mode control with time-delay estimation for robot manipulators”, IEEE Transactions on Industrial Electronics 64(8), 2017, pp. 6796–6804. [26] Y. Liu, Y. Ma, Y. Wang, “Reliable finite-time sliding-mode control for singular time-delay system with sensor faults and randomly occurring nonlinearities”, Applied Mathematics and Computation, 320, 2018, pp. 341–357. [27] Y. Han, Y. Kao, C. Gao, J. Zhao, C. Wang, “ sliding mode control of discrete switched systems with time-varying delays”, ISA transactions, 89, 2019, pp. 12–19. [28] P. Shi, Y. Xia, G. Liu, D. Rees, “On designing of sliding-mode control for stochastic jump systems”, IEEE Transactions on Automatic Control 51(1), 2006, pp. 97–103. [29] S. Xu, J. Lam, “Robust control and filtering of singular systems”, Vol. 332, Springer, 2006. [30] Z. Feng, J. Lam, H. Gao, “Delay-dependent robust controller synthesis for discrete singular delay systems”, International Journal of Robust and Nonlinear Control, 21(16), 2011, pp. 1880–1902. [31] S. Aberkane, V. Dragan, “ filtering of periodic Markovian jump systems: Application to filtering with communication constraints”, Automatica, 48(12), 2012, pp. 3151–3156. [32] Z. Fallah, M. Baradarannia, H. Kharrati, F. Hashemzadeh, “Further enhancement on sliding mode control design for singular Markovian jump systems with partly known transition probabilities”, Journal of Vibration and Control, 28 (9-10), 2022, pp. 1187-1199. [33] Y. Ma, X. Jia, D. Liu, “Robust finite-time control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation”, Applied Mathematics and Computation, 286, 2016, pp. 213–227. | ||
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