Stability Criterion of Linear Stochastic Systems Subject to Mixed H2Passivity Performance
Joint Authors
Ku, Cheung-Chieh
Lu, Chih-Peng
Li, Min-Ta
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-01-29
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The H2 control scheme and passivity theory are applied to investigate the stability criterion of continuous-time linear stochastic system subject to mixed performance.
Based on the stochastic differential equation, the stochastic behaviors can be described as multiplicative noise terms.
For the considered system, the H2 control scheme is applied to deal with the problem on minimizing output energy.
And the asymptotical stability of the system can be guaranteed under desired initial conditions.
Besides, the passivity theory is employed to constrain the effect of external disturbance on the system.
Moreover, the Itô formula and Lyapunov function are used to derive the sufficient conditions which are converted into linear matrix inequality (LMI) form for applying convex optimization algorithm.
Via solving the sufficient conditions, the state feedback controller can be established such that the asymptotical stability and mixed performance of the system are achieved in the mean square.
Finally, the synchronous generator system is used to verify the effectiveness and applicability of the proposed design method.
American Psychological Association (APA)
Ku, Cheung-Chieh& Lu, Chih-Peng& Li, Min-Ta. 2015. Stability Criterion of Linear Stochastic Systems Subject to Mixed H2Passivity Performance. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074843
Modern Language Association (MLA)
Ku, Cheung-Chieh…[et al.]. Stability Criterion of Linear Stochastic Systems Subject to Mixed H2Passivity Performance. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1074843
American Medical Association (AMA)
Ku, Cheung-Chieh& Lu, Chih-Peng& Li, Min-Ta. Stability Criterion of Linear Stochastic Systems Subject to Mixed H2Passivity Performance. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074843
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074843