Further results on applications of fractional calculus in nonlinear dynamics -stability and control issues
Апстракт
In this paper, they are presented recently obtained results which are related to
applications of fractional calculus in dynamics- specially stability and control issues.
First, we propose sufficient conditions for finite time stability for the (non)homogeneous fractional order systems with time delay. Specially, the problem of finite time stability with respect to some of the variables (partial stability) is considered.Second, it is suggested a robust fractional-order sliding mode control of a 3-DOF`s robot system driven by DC motors.Last, this paper addresses
the problem of iterative learning control (ILC) for fractional (non)linear time delay system.
Кључне речи:
robust control / fractional calculus / sliding-mode / chattering-free / stability criteria, partial stability, time delay, finite-time stability, optimal settings, iterative learning control / partial stability / time delay / finite-time stability / iterative learning controlИзвор:
Booklet of Abstracts of Symposium Nonlinear Dynamics –Milutin Milanković (Multidisciplinary and Interdisciplinary Applications), (SNDMIA 2012), Belgrade, October 1-5, 2012., 2012, 26-27Издавач:
- Belgrade: Serbian Scientific Society
Финансирање / пројекти:
- Одрживост и унапређење машинских система у енергетици и транспорту применом форензичког инжењерства, еко и робуст дизајна (RS-MESTD-Technological Development (TD or TR)-35006)
- Развој нових метода и техника за рану дијагностику канцера грлића материце, дебелог црева, усне дупље и меланома на бази дигиталне слике и ексцитационо-емисионих спектара у видљивом и инфрацрвеном домену (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
- EUREKA!4930 project
Напомена:
- http://www.mi.sanu.ac.rs/projects/booklet_of_abstracts.pdf
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo PY - 2012 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4656 AB - In this paper, they are presented recently obtained results which are related to applications of fractional calculus in dynamics- specially stability and control issues. First, we propose sufficient conditions for finite time stability for the (non)homogeneous fractional order systems with time delay. Specially, the problem of finite time stability with respect to some of the variables (partial stability) is considered.Second, it is suggested a robust fractional-order sliding mode control of a 3-DOF`s robot system driven by DC motors.Last, this paper addresses the problem of iterative learning control (ILC) for fractional (non)linear time delay system. PB - Belgrade: Serbian Scientific Society C3 - Booklet of Abstracts of Symposium Nonlinear Dynamics –Milutin Milanković (Multidisciplinary and Interdisciplinary Applications), (SNDMIA 2012), Belgrade, October 1-5, 2012. T1 - Further results on applications of fractional calculus in nonlinear dynamics -stability and control issues EP - 27 SP - 26 UR - https://hdl.handle.net/21.15107/rcub_machinery_4656 ER -
@conference{ author = "Lazarević, Mihailo", year = "2012", abstract = "In this paper, they are presented recently obtained results which are related to applications of fractional calculus in dynamics- specially stability and control issues. First, we propose sufficient conditions for finite time stability for the (non)homogeneous fractional order systems with time delay. Specially, the problem of finite time stability with respect to some of the variables (partial stability) is considered.Second, it is suggested a robust fractional-order sliding mode control of a 3-DOF`s robot system driven by DC motors.Last, this paper addresses the problem of iterative learning control (ILC) for fractional (non)linear time delay system.", publisher = "Belgrade: Serbian Scientific Society", journal = "Booklet of Abstracts of Symposium Nonlinear Dynamics –Milutin Milanković (Multidisciplinary and Interdisciplinary Applications), (SNDMIA 2012), Belgrade, October 1-5, 2012.", title = "Further results on applications of fractional calculus in nonlinear dynamics -stability and control issues", pages = "27-26", url = "https://hdl.handle.net/21.15107/rcub_machinery_4656" }
Lazarević, M.. (2012). Further results on applications of fractional calculus in nonlinear dynamics -stability and control issues. in Booklet of Abstracts of Symposium Nonlinear Dynamics –Milutin Milanković (Multidisciplinary and Interdisciplinary Applications), (SNDMIA 2012), Belgrade, October 1-5, 2012. Belgrade: Serbian Scientific Society., 26-27. https://hdl.handle.net/21.15107/rcub_machinery_4656
Lazarević M. Further results on applications of fractional calculus in nonlinear dynamics -stability and control issues. in Booklet of Abstracts of Symposium Nonlinear Dynamics –Milutin Milanković (Multidisciplinary and Interdisciplinary Applications), (SNDMIA 2012), Belgrade, October 1-5, 2012.. 2012;:26-27. https://hdl.handle.net/21.15107/rcub_machinery_4656 .
Lazarević, Mihailo, "Further results on applications of fractional calculus in nonlinear dynamics -stability and control issues" in Booklet of Abstracts of Symposium Nonlinear Dynamics –Milutin Milanković (Multidisciplinary and Interdisciplinary Applications), (SNDMIA 2012), Belgrade, October 1-5, 2012. (2012):26-27, https://hdl.handle.net/21.15107/rcub_machinery_4656 .
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