دانشگاه تبریز
فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

 آمار

تعداد نشریات45
تعداد شماره‌ها1,360
تعداد مقالات16,663
تعداد مشاهده مقاله53,905,834
تعداد دریافت فایل اصل مقاله16,527,024
Khaledi, Ghader, Mirhosseini-Alizamini, Seyed Mehdi, Ghamgosar, Mohammad. (1403). LQR technique based SMC design for a class of uncertain time-delay Conic nonlinear systems. سامانه مدیریت نشریات علمی, 13(2), 505-523. doi: 10.22034/cmde.2024.57243.2394
Ghader Khaledi; Seyed Mehdi Mirhosseini-Alizamini; Mohammad Ghamgosar. "LQR technique based SMC design for a class of uncertain time-delay Conic nonlinear systems". سامانه مدیریت نشریات علمی, 13, 2, 1403, 505-523. doi: 10.22034/cmde.2024.57243.2394
Khaledi, Ghader, Mirhosseini-Alizamini, Seyed Mehdi, Ghamgosar, Mohammad. (1403). 'LQR technique based SMC design for a class of uncertain time-delay Conic nonlinear systems', سامانه مدیریت نشریات علمی, 13(2), pp. 505-523. doi: 10.22034/cmde.2024.57243.2394
Khaledi, Ghader, Mirhosseini-Alizamini, Seyed Mehdi, Ghamgosar, Mohammad. LQR technique based SMC design for a class of uncertain time-delay Conic nonlinear systems. سامانه مدیریت نشریات علمی, 1403; 13(2): 505-523. doi: 10.22034/cmde.2024.57243.2394

LQR technique based SMC design for a class of uncertain time-delay Conic nonlinear systems

Computational Methods for Differential Equations
مقاله 11، دوره 13، شماره 2، خرداد 2025، صفحه 505-523    اصل مقاله (585.46 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.57243.2394
نویسندگان
Ghader Khaledi1؛ Seyed Mehdi Mirhosseini-Alizamini* 2؛ Mohammad Ghamgosar3
1Department of Education, Mahabad, Iran.
2Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran.
3Academic Center for Education, Cultural and Research (ACCECR), Rasht, Iran.
چکیده
In this paper, the finite-time sliding mode controller design problem of a class of conic-type nonlinear systems with time-delays, mismatched external disturbance and uncertain coefficients is investigated. The time-delay conic nonlinearities are considered to lie in a known hypersphere with an uncertain center. Conditions have been obtained to design a linear quadratic regulator based on sliding mode control. For this purpose, by applying Lyapunov- Krasovskii stability theory and linear matrix inequality approach, sufficient conditions are derived to ensure the finite-time boundedness of the closed-loop systems over the finite-time interval. Thereafter, an appropriate control strategy is constructed to drive the state trajectories onto the specified sliding surface in a finite time. Finally, an example related to the time-delayed Chua’s circuit is given to demonstrate the effectiveness of the suggested method. Also, the efficiency of the suggested method is compared with other methods by using an another numerical example
کلیدواژه‌ها
Finite-time bounded؛ Integral sliding mode؛ Time delay system؛ Linear quadratic regulator؛ Conic nonlinear systems
مراجع
  • [1] A. Levant, Quasi-continuous high-order sliding-mode controllers, IEEE Transactions on Automatic Control, 50 (2005), 1812–1816.
  • [2] B. Bandyopadhyay, D. Fulwani, and K. Kim, Sliding mode control using novel sliding surfaces, (2009), SpringerVerlag.
  • [3] B. Bandyopadhyoy and D. A. Fulwani, Robust tracking controller for uncertain MIMO plant using nonlinear sliding surface, IEEE International Conference on Industrial Technology, Australia, (2009), 1–6.
  • [4] C. B. Cardeliquio, M. Souza, and A. R. Fioravanti, Stability analysis and output-feedback control design for time-delay systems, IFAC-Papers Online, 50(1) (2017), 1292–1297.
  • [5] C. Gao, Z. Liu, and R. Xu, On exponential stabilization for a class of neutral-type systems with parameter uncertainties: An integral sliding mode approach, Applied Mathematics and Computation, 219 (2013), 11044– 11055.
  • [6] C. Zheng, N. Li, and J. Cao, Matrix measure based stability criteria for high-order neural networks with proportional delay, Neurocomputing, 149 (2015), 1149–1154.
  • [7] D. Ivanescu, Control of an intercounnected power system: a time delay approach, IFAC Proceeding, 34(13) (2001), 449–454.
  • [8] E. De Souzac and D. Coutingo, Robust stability and control of uncertain linear discrete time periodic systems with time-delay, Automatica, 50(2) (2014), 431–441.
  • [9] E. Moradi, M. R. Jahed-Motlagh, and M. Barkhordari Yazdi, LMI-based criteria for robust finite-time stabilization of switched systems with interval time-varying delay, IET Control Theory and applications, 11(16) (2017), 2688– 2697.
  • [10] F. Amato, M. Ariola, and P. Dorat, Finite-time control of linear systems subject to parametric uncertainties and disturbances, Automatica, 37(9) (2001), 1459–1463.
  • [11] F. Amato, G. Tommasi, and A. Pironti, Necessary and sufficient conditions for finite-time stability of impulsive dynamical linear systems, Automatica, 49(8) (2013), 2546–2550.
  • [12] F. Feng, C. Jeong, E. Yaz, S. Schneider, and Y. Yaz, Robust controller design with general criteria for uncertain conic nonlinear systems with disturbances, American Control Conference, USA, (2013), 5869–5874.
  • [13] F. Gouaisbaut, M. Dambrine, and J. R. Richard, Robust control of delay systems a sliding mode control design via LMI, Syst. Control. Lett, 46 (2013), 219–230.
  • [14] F. Tan, B. Zhou, and G. R. Duan, Finite-time stabilization of linear time varying systems by piecewise constant feedback, Automatica, 68 (2016), 277–285.
  • [15] G. Zhao and J. Wang, Finite time stability and L2-gain analysis for switched linear systems with state-dependant switching, Journal of the Franklin Institute, 350 (2013), 1057–1092.
  • [16] Gh. Khaledi and S. M. Mirhosseini-Alizamini, Controlling a class of nonlinear time-delayed systems by using SMC technique, 51th Annual Iranian Mathematics Conference, 16-19 February, Kashan, (2021).
  • [17] Gh. Khaledi, S. M. Mirhosseini-Alizamini, and S. Khaleghizadeh, Sliding mode control design for a class of uncertain time-delay conic nonlinear systems, Iranian Journal of Science and Technology, Transaction A: Science, 46 (2022), 583–593.
  • [18] H. Xing, C. Gao, and D. Li, Sliding mode variable structure control for parameter uncertain stochastic systems with time-varying delay, Journal of Mathematics Analysis and Applications, 355 (2009), 689–699.
  • [19] J. G. Milton, Time delays and the control of biological systems: an overview, IFAC-Papers Online, 48(12) (2015), 87–92.
  • [20] K. Mathiyalagan and G. Sangeetha, Second-order sliding mode control for nonlinear fractional-order systems, Applied Mathematics and Computation, 383(9) (2020), 125264.
  • [21] K. Mathiyalagan and G. Sangeetha, Finite-time stabilization of nonlinear time delay systems using LQR based sliding mode control, Journal of the Franklin Institute, 356 (2019), 3948–3964.
  • [22] L. Huang and X. Mao, SMC design for robust H∞ control of uncertain stochastic delay systems, Automatica, 46(2) (2010), 405–412.
  • [23] M. Elbsat and E. Yaz, Robust and resilient finite-time control of a class of continuous-time nonlinear systems, IFAC Proc, 45(13) (2012), 15–20.
  • [24] M. Elbsat and E. Yaz, Robust and resilient finite-time control of discrete-time uncertain nonlinear systems, Automatica, 49(7) (2013), 2292–2296.
  • [25] M. Ghamgosar, S. M. Mirhosseini-Alizamini, and M. Dadkhah, Sliding mode control of a class of uncertain nonlinear fractional order time-varying delayed system based on Razumikhin approach, Computational Methods for Differential Equations, In Press.
  • [26] N. Zhao, X. Zhang, and Y. Xue, Necessary conditions for exponential stability of linear neutral type systems with multiple time delays, Journal of the Franklin Institute, 355(1) (2018), 458–473.
  • [27] P. Dorato, Short time stability in linear time-varying systems, In proc. the IRE Int. Conv. Rec, New York, (1961).
  • [28] P. Khargonekar, I. Petersen, and k. Zhou, Robust stabilization of uncertain linear systems: quadratic stabilization and H∞ control theory, IEEE Trans. Automat. Control, 35(3) (1990), 356–361.
  • [29] P. Niamsup and V. N. Phat, Robust finite-time H∞ control of linear time-varying delay systems with bounded control via Riccati equations, International Journal of Automation and Computing, 3 (2017), 1–9.
  • [30] Q. Ren, C. Gao, and S. Bi, Sliding mode control based on novel nonlinear sliding surface for a class of time-varying delay systems, Applied Mechanics and Materials, 615 (2014), 375–381.
  • [31] S. B. Stojanovic, D. L. Debeljkovic, and D. S. Antic, Robust finite-time stability and stabilization of linear uncertain time-delay systems, Asian Journal of control, 15(5) (2013), 1548–1554.
  • [32] S. He and F. Liu, Finite-time boundedness of uncertain time-delay neural network with markovian jumping parameters, Neurocomputing, 103 (2013), 87–92.
  • [33] S. M. Mirhosseini Alizamini, S. Effati, and A. Heydari, An iterative method for suboptimal control of linear time-delayed systems, Systems and Control Letters, 85 (2015), 40–50.
  • [34] S. M. Mirhosseini-Alizamini, S. Effati, and A. Heydari, Solution of linear time-varying multi-delay systems via variational iteration method, Journal of Mathematics and Computer Science, 16(2) (2016), 282–297.
  • [35] S. M. Mirhosseini-Alizamini, Solving linear optimal control problems of the time-delayed systems by Adomian decomposition method, Iranian Journal of Numerical Analysis of Optimization, 9(2) (2019), 165–185.
  • [36] S. M. Mirhosseini-Alizamini, S. Effati, and A. Heydari, An iterative method for suboptimal control of a class of nonlinear time-delayed systems, International Journal of Control, 92(12) (2019), 2869–2885.
  • [37] S. Ma and E. Boukas, A singular system approach to robust sliding mode control for uncertain Markov jump systems, Automatica, 45 (2009), 2707–2713.
  • [38] S. Mondal and C. Mahanta, Nonlinear sliding surface based second order sliding mode controller for uncertain linear systems, Commun. Nonlinear Sci. Numer. Sim-lat, 16 (2011), 3760–3769.
  • [39] S. Sh. Alviani, Delay-dependant exponential stability of linear time-varying neutral delay systems, IFAC-Papers Online, 48(12) (2015), 177–179.
  • [40] Sh. He and J. Song, Finite-time sliding mode control design for a class of uncertain conic nonlinear systems, IEEE Journal of Automatica Sinica, 4(4) (2017), 809–816.
  • [41] V. Utkin, Sliding modes in control and optimization, Springer-Verlag, (1992).
  • [42] W. Cao and J. Xu, Nonlinear integral-type sliding surface for both matched and unmatched uncertain systems, IEEE Transactions on Automatic Control, 49 (2004), 1355–1360.
  • [43] X. Wang, G. Zhong, K. Tang, K. Man, and Z. Liu, Generating chaos in Chua’s circuit via time-delay feedback, IEEE Transactions on circuits and systems-I:Fundemental Theory and Applications, 48(9) (2001), 1151–1156.
  • [44] Y. G. Niu and D. W. C. Ho, Design of sliding mode control subject to packet losses, IEEE. Trans. Automat. Control, 55 (2010), 2623–2628.
  • [45] Y. Wu, Y. He, and J. H. She, Stability analysis and robust control of time-delay systems, Springer, (2010).
  • [46] Y. Xia and Y. Jia, Robust sliding-mode control for uncertain time-delay: an LMI approach, IEEE Transactions on Automatic Control, 48 (2003), 1086–1092.
  • [47] Y. Zhang, Finite-time boundedness for uncertain discrete neural networks with time-delays and Markovian jumps, Neurocomputing, 144 (2014), 1–7.
 

آمار
تعداد مشاهده مقاله: 179
تعداد دریافت فایل اصل مقاله: 180


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب