论文标题

非线性离散时间系统的间隔观察者的合成

Synthesis of Interval Observers for Nonlinear Discrete-Time Systems

论文作者

Tahir, Adam M, Acikmese, Behcet

论文摘要

提出了一种合成非线性离散时间系统间隔观察者的系统过程。从解决方案到半决赛可行性计划的反馈收益和其他矩阵。考虑了两种情况:(1)间隔观察者与给定系统相同的坐标框架,(2)间隔观察者使用坐标转换。详细介绍了必要的坐标转换的条件。提供了数值示例,以展示间隔观察者的有效性,并演示其在采样数据系统中的应用。

A systematic procedure to synthesize interval observers for nonlinear discrete-time systems is proposed. The feedback gains and other matrices are found from the solutions to semidefinite feasibility programs. Two cases are considered: (1) the interval observer is in the same coordinate frame as the given system, and (2) the interval observer uses a coordinate transformation. The conditions where coordinate transformations are necessary are detailed. Numerical examples are provided to showcase the effectiveness of the interval observers and demonstrate their application to sampled-data systems.

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