
تعداد نشریات | 26 |
تعداد شمارهها | 398 |
تعداد مقالات | 3,488 |
تعداد مشاهده مقاله | 5,383,849 |
تعداد دریافت فایل اصل مقاله | 3,679,858 |
Stochastic robustness in switched systems: A novel control strategy for random time-iteration driven switching | ||
Journal of Hyperstructures | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 خرداد 1404 اصل مقاله (1.65 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2025.15886.1045 | ||
نویسنده | ||
Omprakash Dewangan* | ||
Indira Gandhi Govt. College Pandaria, Distt.- Kabirdham, Hemchand Yadav Vishwavidyalaya Durg, Chhattisgarh, India. | ||
چکیده | ||
This paper addresses the control of a category of continuous-time linear systems that switch between different modes, where the switching signals are driven by random time-iteration. The system under consideration is subject to uncertainties in the system dynamics and observation noise in the output measurements. We propose a robust control strategy that Accounting for the random nature of the switching signals and the system uncertainties. The learning performance is examined using the Lebesgue-p norm, leading to the derivation of a sufficient condition for convergence. The findings demonstrate that the proposed control law effectively addresses the tracking problem in switched systems, Especially when the switching rules are expanded to the time-iteration domain using a stochastic framework, we introduce a groundbreaking control approach that guarantees the system's performance despite uncertainties and noise. Through rigorous theoretical analysis, we prove the effectiveness of our suggested approach in achieving robust control and estimation performance.The results of this research contribute to the advancement of control theories and have potential applications in various fields, including power systems, robotics, and process control. | ||
کلیدواژهها | ||
Linear Continuous-Time Switched Systems؛ Random Time-Iteration؛ System Uncertainties؛ Observation Noise؛ Robust Control | ||
مراجع | ||
[1] S. Arimoto, S. Kawamura and F. Miyazaki, Bettering operation of robots by learning, J Robotic Syst., 1(2) (1984), 123-140. [2] F. Miyazaki, S. Kawamura, M. Matsumori and S. Arimoto, Learning control scheme for a class of robot systems with elasticity. In 1986 25th IEEE Conference on Decision and Control, IEEE, (1986), 74-79. [3] S. Kawamura, F. Miyazaki, and S. Arimoto, Realization of robot motion based on a learning method. IEEE Trans Syst Man Cybern., 18(1) (1988), 126-134. [4] D.A. Bristow, M. Tharayil, and A. G. Alleyne, A survey of iterative learning control, IEEE Contr Syst Mag, 26(3) (2006), 96-114. [5] R.J. Li and Z. Z. Han. Survey of iterative learning control, Control Decis., 20(9) (2005), 961. [6] H.S. Ahn, Y.Q. Chen, and K. L. Moore, Iterative learning control: Brief survey and categorization, IEEE Trans Syst Man Cybern C Appl Rev., 37(6) (2007), 1099-1121. [7] H.S. Ahn and D. Bristow, Special issue on “iterative learning control, Asian J Control, 13(1) (2011), 1-2. [8] Y. G. Sun, L. Wang, G. Xie, Exponential stability of switched systems with interval time-varying delay, IET Control Theory Appl., 3(8) (2009), 1033-1040. [9] A. Yu. Aleksandrov, Y. Chen, A. V. Platonov, and L. Zhang. Stability analysis for a class of switched nonlinear systems, Automatica, 47(10) (2011), 2286-2291. [10] X. Ruan, Z. Bien, Convergence Properties of Iterative Learning Control Processes in the Sense of the Lebesgue - p Norm, Asian J Control, 14(4) (2012), 1095-1107. [11] X. Ruan, J.B. Lian, and H. Z. Wu, Convergence of iterative learning control with feedback information in the sense of Lebesgue-p norm. Acta Autom Sin., 37(4) (2011), 513-516. [12] R. Xiaoe, C. Fengmin, and W. Jianguo, Convergence analysis in the sense of lebesgue-p norm for openclosed-loop iterative learning control . In 2007 Chinese Control Conference, IEEE, (2007), 511-514. [13] J. Lian, and Y. Ge. ”Robust H∞ output tracking control for switched systems under asynchronous switching, Nonlinear Anal Hybrid Syst., 8 (2013), 57-68. [14] X. Bu, F. Yu, and Z. Hou. Iterative learning control for linear switched systems with arbitrary switched rules . In Proceedings of the 10th world congress on intelligent control and automation, IEEE, (2012), 1182-1187. [15] X. Bu, F. Yu, et al., Iterative learning control for a class of linear discrete-time switched systems, Acta Autom Sin., 39(9) (2013), 1564-1569. [16] X. Bu, Z. Hou, Iterative learning control for a class of non-linear switched systems, IET Control Theory Appl., 7(3), (2013), 470-481. [17] X. Bu, F. Yu F, et al., Stability analysis of high-order iterative learning control for a class of nonlinear switched systems, Abstr Appl Anal., 1 (2013), 1-13, 684642 . [18] O.H. Eddine, D. Jamel, B.A. Selma, and S. Salah. Iterative learning control for Linear Discrete Time Switched Systems, Proceedings-Copyright IPCO (2014), 310-321. [19] X. Yang and X. Ruan, Analysis of Iterative Learning Control for a Class of Linear Discrete-Time Switched Systems, Abstr Appl Anal., (2015), 1-8, 464175. [20] W. Cao, M. Sum, Iterative learning control for discrete-time switched systems with attenuation factor, J. Vib Control, 22(12), (2016), 2898-2906. [21] J. Wang, Luo and Y. Hu, Monotonically convergent hybrid ILC for uncertain discrete-time switched systems with state delay, Trans Inst Meas Control, 39(7) (2017), 1047-1058. [22] Z. Shao and Z. Xiang, Design of an Iterative Learning Control Law for a Class of Switched Repetitive Systems, Circuits, J Syst Signal Process, 36(2) (2017), 845-866. [23] H. Ouerfelli, S. Attia and S. Salhi, Monotonic Switching Iterative Learning Control Method for a Class of Discrete Time Switched System, Int J Autom Smart Technol, 7(4) (2017), 179-186. [24] X. Yang and X. Ruan, ILC for a Kind of Linear Switched Systems Specified by Random Time-Iteration Driven Switching Signals. In 2018 IEEE 7th Data Driven Control and Learning Systems Conference (DDCLS), IEEE, (2018), 555-559. [25] D. Shen, W. Zhang, Y. Wang, and C. J. Chien, Almost sure and mean square convergence of ILC for linear systems with randomly varying iteration lengths. In The 27th Chinese Control and Decision Conference (2015 CCDC), IEEE, (2015), 4546-4551. [26] X. Bu, W. Yu, Q. Yu, Z. Hou, and J. Yang, Event-triggered model-free adaptive iterative learning control for a class of nonlinear systems over fading channels, IEEE Trans Cybern., 52(9) (2021), 9597-9608. [27] X. Zhou, H. Wang, Y. Tian, and X. Dai, Consensus tracking via quantized iterative learning control for singular nonlinear multi-agent systems with state time-delay and initial state error, Nonlinear Dyn., 103 (2021), 2701-2719. [28] Z. Shao and Z. Duarr, A high-order iterative learning control for discrete-time linear switched systems. In 2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE), IEEE, (2018), 354-361. [29] M. Ayatinia, M. Forouzanfar, and A. Ramezani. An LMI approach to robust iterative learning control with initial state learning, Int J Syst Sci., 53(12) (2022), 2664-2678. [30] X. Yang and X. Ruan. Iterative learning control for linear continuous-time switched systems with observation noise, Trans Inst Meas Control, 41(4) (2019), 1178-1185. [31] D. R. Sahu, and N.K. Singh. Second-order iterative learning control for a class of switched discrete-time systems with model uncertainties, external noises and time-delay, J Differ Equ Appl., 29(4) (2023), 432-454. [32] D.R. Sahu, and N. K. Singh, Convergence of novel iterative learning control methods for a class of linear discrete-time switched systems. In Innovations in Electrical and Electronic Engineering: Proceedings of ICEEE 2021, Springer Singapore, (2021), 441-457. [33] J. V. D. Wijdeven, T. Donkers, and O. Bosgra. Iterative learning control for uncertain systems: Robust monotonic convergence analysis. Automatica, 45(10) (2009), 2383-2391. [34] X. Xu, J. Lu, and J. Chen. Convergence Analysis of Iterative Learning Control for Initialized Fractional Order Systems, Fractal and Fractional, 8(3) (2024), 168. [35] D. R. Sahu, and N.K. Singh. p-Accelerated normal S-iterative learning control algorithm for linear discrete singular time-delay systems, Int J Gen Syst., 53(1) (2024), 16-40. [36] D. R. Sahu, and N.K. Singh. Robust tracking of discrete-time linear switched systems with disturbance via second-order ILC with data loss. J Control Decis., (2024), 1-12. [37] O. Dewangan. Convergence analysis of proportional-derivative -type ILC for linear continuous constant time delay switched systems with observation noise and state uncertainties, J Hyperstruct., 12(2) (2023), 351-365. [38] O. Dewangan. Fractional order PDα-type ILC for linear continuous time-delay switched system with disturbance measurement and uncertainties noise, J Hyperstruct., 13(2) (2024), 305-320. | ||
آمار تعداد مشاهده مقاله: 2 تعداد دریافت فایل اصل مقاله: 58 |