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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/52770

Title: Relaxed Observer-Based Controller Design Method of Discrete-Time Multiplicative Noised LPV Systems via An Extended Projective Lemma
Authors: Cheung-Chieh Ku
Guan-Wei Chen
Contributors: 國立臺灣海洋大學:輪機工程學系
Keywords: Observer-based control
LPV model
stochastic systems
gain scheduling design scheme
extended projective lemma
Date: 2018-04
Issue Date: 2020-01-06T06:12:01Z
Publisher: International Journal of Control,
Abstract: ABSTRACT: The aim of this paper is to discuss a relaxed observer-based control problem of multiplicative noised Linear Parameter Varying (LPV) systems with unmeasurable states. For discussing the problem, positive definite matrices without neglecting any element are employed to construct a novel parameter-dependent Lyapunov function. Based on the Lyapunov function, some relaxed sufficient conditions are derived to hold the freedom in searching feasible solutions. Furthermore, an extended projective lemma is developed to convert those conditions into Linear Matrix Inequality (LMI) form. Solving these LMI conditions, controller gain and observer gain can be simultaneously obtained in one-step procedure via using convex optimization algorithm. Therefore, an observer-based controller can be established to guarantee the asymptotical stability of the multiplicative noised LPV systems in the sense of mean square. At last, two numerical examples are used to show effectiveness and applicability of the proposed design method.
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/52770
Appears in Collections:[輪機工程學系] 期刊論文

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