Adaptive state observer for Lipschitz nonlinear systems
Adaptive state observer for Lipschitz nonlinear systems
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DOI：
10.1016/j.sysconle.2013.01.002
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发表时间：
2013-04-01
影响因子：
2.6
通讯作者：
Yazdanpanah, M. J.
中科院分区：
文献类型：
--
作者：
Ekramian, M.;Sheikholeslam, F.;Yazdanpanah, M. J.
研究了Lipschitz非线性系统的自适应观测器设计问题。在参数已知的情况下，首先讨论了状态观测器的收敛性。基于广义Lipschitz条件，给出了保证观测器误差动态稳定的线性矩阵不等式充分条件。在系统动力学参数未知的情况下，利用所提出的条件沿着等式约束，保证了自适应状态观测器的收敛性。此外，还导出了一种自适应观测器形式，可用于降阶状态观测器的设计。仿真结果表明了所提出的综合方法在实际系统中的有效性。(C)2013爱思唯尔有限公司版权所有。
The problem of adaptive observer synthesis for Lipschitz nonlinear systems is addressed. In the case of known parameters, the convergence property of state observer is first discussed. Based on a generalized Lipschitz condition, the sufficient conditions to ensure the stability of observer error dynamics are presented in terms of some LMIs. In the case of system dynamics with some unknown parameters, the proposed conditions along with an equality constraint are then employed to guarantee the convergence property of an adaptive state observer. Moreover, an adaptive observer form is derived which can be utilized in designing the reduced order state observer. The simulation results are finally given to exhibit the effectiveness of proposed synthesis approaches in dealing with the practical systems. (C) 2013 Elsevier B.V. All rights reserved.