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arXiv 2102.10652eess.SYcs.SY
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线性非周期采样系统观测器设计:一种混杂系统方法

Observer Design for Linear Aperiodic Sampled-Data Systems: A Hybrid Systems Approach

Francesco Ferrante, Alexandre Seuret

摘要:

研究了具有非周期采样观测的线性系统的观测器设计问题。为了解决这个问题,一种新的混合观测器的设计。该观测器的主要特点是使用两个输出注入项,一个作用于采样时刻,另一个提供样本间注入。增加了一个定时器变量触发一个新的测量的到来,并通过混杂系统工具进行分析的误差动态。利用李雅普诺夫理论,给出了观测器收敛的充分条件.根据这些条件,提出了一种基于LMI的观测器增益的优化设计。最后通过实例验证了该方法的有效性。

英文摘要:

Observer design for linear systems with aperiodic sampled-data measurements is addressed. To solve this problem, a novel hybrid observer is designed. The main peculiarity of the proposed observer consists of the use two output injection terms, one acting at the sampling instants and one providing an intersample injection. The error dynamics are augmented with a timer variable triggering the arrival of a new measurement and analyzed via hybrid system tools. Using Lyapunov theory, sufficient conditions for the convergence of the observer are provided. Relying on those conditions, an optimal LMI-based design is proposed for the observer gains. The effectiveness of the approach is illustrated in an example.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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