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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
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