Nonlinear L 2 -Gain Analysis of Hybrid Systems in the Presence of Sliding Modes and Impacts
المؤلفون المشاركون
Osuna, T.
Montano, O. E.
Orlov, Y.
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2016، العدد 2016 (31 ديسمبر/كانون الأول 2016)، ص ص. 1-10، 10ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2016-01-18
دولة النشر
مصر
عدد الصفحات
10
التخصصات الرئيسية
الملخص EN
The L 2 -gain analysis is extended towards hybrid mechanical systems, operating under unilateral constraints and admitting both sliding modes and collision phenomena.
Sufficient conditions for such a system to be internally asymptotically stable and to possess L 2 -gain less than an a priori given disturbance attenuation level are derived in terms of two independent inequalities which are imposed on continuous-time dynamics and on discrete disturbance factor that occurs at the collision time instants.
The former inequality may be viewed as the Hamilton-Jacobi inequality for discontinuous vector fields, and it is separately specified beyond and along sliding modes, which occur in the system between collisions.
Thus interpreted, the former inequality should impose the desired integral input-to-state stability (iISS) property on the Filippov dynamics between collisions whereas the latter inequality is invoked to ensure that the impact dynamics (when the state trajectory hits the unilateral constraint) are input-to-state stable (ISS).
These inequalities, being coupled together, form the constructive procedure, effectiveness of which is supported by the numerical study made for an impacting double integrator, driven by a sliding mode controller.
Desired disturbance attenuation level is shown to satisfactorily be achieved under external disturbances during the collision-free phase and in the presence of uncertainties in the transition phase.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Osuna, T.& Montano, O. E.& Orlov, Y.. 2016. Nonlinear L 2 -Gain Analysis of Hybrid Systems in the Presence of Sliding Modes and Impacts. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112803
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Osuna, T.…[et al.]. Nonlinear L 2 -Gain Analysis of Hybrid Systems in the Presence of Sliding Modes and Impacts. Mathematical Problems in Engineering No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1112803
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Osuna, T.& Montano, O. E.& Orlov, Y.. Nonlinear L 2 -Gain Analysis of Hybrid Systems in the Presence of Sliding Modes and Impacts. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112803
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1112803
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
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