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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, (), -. 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, , , 1403, -. 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, (), pp. -. 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; (): -. 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
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 مرداد 1403    اصل مقاله (533.59 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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تعداد مشاهده مقاله: 110
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