Robust Stability, Stabilization, and H ∞ Control of a Class of Nonlinear Discrete Time Stochastic Systems

المؤلفون المشاركون

Wang, Yu-Hong
Zhang, Tianliang
Jiang, Xiushan
Zhang, Weihai

المصدر

Mathematical Problems in Engineering

العدد

المجلد 2016، العدد 2016 (31 ديسمبر/كانون الأول 2016)، ص ص. 1-11، 11ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2016-04-20

دولة النشر

مصر

عدد الصفحات

11

التخصصات الرئيسية

هندسة مدنية

الملخص EN

This paper studies robust stability, stabilization, and H ∞ control for a class of nonlinear discrete time stochastic systems.

Firstly, the easily testing criteria for stochastic stability and stochastic stabilizability are obtained via linear matrix inequalities (LMIs).

Then a robust H ∞ state feedback controller is designed such that the concerned system not only is internally stochastically stabilizable but also satisfies robust H ∞ performance.

Moreover, the previous results of the nonlinearly perturbed discrete stochastic system are generalized to the system with state, control, and external disturbance dependent noise simultaneously.

Two numerical examples are given to illustrate the effectiveness of the proposed results.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Zhang, Tianliang& Wang, Yu-Hong& Jiang, Xiushan& Zhang, Weihai. 2016. Robust Stability, Stabilization, and H ∞ Control of a Class of Nonlinear Discrete Time Stochastic Systems. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112288

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Zhang, Tianliang…[et al.]. Robust Stability, Stabilization, and H ∞ Control of a Class of Nonlinear Discrete Time Stochastic Systems. Mathematical Problems in Engineering No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1112288

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Zhang, Tianliang& Wang, Yu-Hong& Jiang, Xiushan& Zhang, Weihai. Robust Stability, Stabilization, and H ∞ Control of a Class of Nonlinear Discrete Time Stochastic Systems. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112288

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1112288