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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/52768

Title: New Observer-Based Controller Design for LPV Stochastic Systems with Multiplicative Noise
Authors: Cheung-Chieh Ku
Guan‐Wei Chen
Contributors: 國立臺灣海洋大學:輪機工程學系
Keywords: extended projection lemma
LMI
LPV model
observer‐based control
stochastic system
Date: 2019-06
Issue Date: 2020-01-06T05:47:52Z
Publisher: International Journal of Robust and Nonlinear Control
Abstract: Abstract: This paper addresses an observer‐based control problem of Linear Parameter Varying (LPV) stochastic systems. Based on the modeling approaches, the LPV stochastic systems can be represented by a set of linear systems with multiplicative noise term. To solve the observer‐based control problem, a less conservative stability criterion is developed via the chosen Parameter‐Dependent Lyapunov Function (PDLF). In the PDLF, none element in the positive definite matrix is required as zero. Besides, an Extended Projection Lemma is proposed to convert the derived sufficient conditions into Linear Matrix Inequality (LMI) form. According to the derived LMI conditions, all feasible solutions can be found by convex optimization algorithm at a single step. Based on those feasible solutions, an observer‐based Gain‐Scheduled (GS) controller can be established to guarantee the asymptotical stability of the closed‐loop system in the sense of mean square. Finally, two numerical examples are provided to demonstrate the effectiveness and applicability of the proposed method.
Relation: 29(4)
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/52768
Appears in Collections:[輪機工程學系] 期刊論文

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