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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/40536

Title: Stability Criterion of Linear Stochastic Systems Subject to Mixed H2/ passivity Performance
Authors: Cheung-Chieh Ku;Chih-Peng Lu;Min-Ta Li
Contributors: 國立臺灣海洋大學:輪機工程學系
Date: 2015-01-05
Issue Date: 2017-01-19T07:36:41Z
Publisher: Mathematical Problems in Engineering
Abstract: Abstract: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.
Relation: 2015, Article ID 831576, pp.1-8
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/40536
Appears in Collections:[輪機工程學系] 期刊論文

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