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Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis

机译:具有非结构化乘法不确定性的线性系统:建模和鲁棒稳定性分析

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摘要

This article deals with continuous-time Linear Time-Invariant (LTI) Single-Input Single-Output (SISO) systems affected by unstructured multiplicative uncertainty. More specifically, its aim is to present an approach to the construction of uncertain models based on the appropriate selection of a nominal system and a weight function and to apply the fundamentals of robust stability investigation for considered sort of systems. The initial theoretical parts are followed by three extensive illustrative examples in which the first order time-delay, second order and third order plants with parametric uncertainty are modeled as systems with unstructured multiplicative uncertainty and subsequently, the robust stability of selected feedback loops containing constructed models and chosen controllers is analyzed and obtained results are discussed.
机译:本文讨论了受非结构化乘法不确定性影响的连续时间线性时不变(LTI)单输入单输出(SISO)系统。更具体地说,其目的是提出一种基于标称系统和权函数的适当选择来构建不确定模型的方法,并将鲁棒稳定性研究的基础应用于所考虑的系统。最初的理论部分后面是三个详尽的说明性示例,其中具有参数不确定性的一阶时间延迟,二阶和三阶工厂被建模为具有非结构化乘法不确定性的系统,随后,包含构造模型的选定反馈回路的鲁棒稳定性分析所选的控制器并讨论获得的结果。

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