Dynamic observer-based controller design for polytopic LPV systems

M. Mohammadi, M. H. Asemani, M. Arefi
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Abstract

In this paper, controller design for continuous-time linear parameter-varying systems using the dynamic observer is proposed. Dynamic Observer (DO), as a generalized form of the conventional observers, possesses more structural degrees of freedom. In this work, the DO is employed to design a controller for a Continuous-Time Linear Parameter-Varying (CTLPV) system such that the setbacks of the controller design by the conventional observer-based methods are unfolded. In the proposed approach, rigid Linear Matrix Inequality (LMI) conditions are applied to a strict controller design. At last, the efficiency of the proposed approach is confirmed by a numerical example.
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基于动态观测器的多面体LPV系统控制器设计
提出了一种基于动态观测器的连续时间线性变参数系统的控制器设计方法。动态观测器作为常规观测器的广义形式,具有更大的结构自由度。在这项工作中,使用DO来设计连续时间线性参数变化(CTLPV)系统的控制器,从而揭示了传统的基于观测器的方法设计控制器的挫折。在该方法中,将刚性线性矩阵不等式(LMI)条件应用于严格的控制器设计。最后通过一个算例验证了该方法的有效性。
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