具有Duhem滞回非线性的线性系统稳定性分析与控制器设计
Stability Analysis and Controller Design for a Linear System with Duhem Hysteresis Nonlinearity
AI总结:
研究线性系统与Duhem滞回算子反馈互联的稳定性,基于逆时针或顺时针输入输出动态特性给出充分条件,并提出无需滞回算子精确信息的控制器设计方法。
摘要:
本文研究了线性系统与Duhem滞回算子之间的反馈互联稳定性,其中线性系统和Duhem滞回算子满足逆时针或顺时针输入输出动态特性。更精确地说,我们给出了互联系统稳定性的充分条件,这些条件依赖于线性系统和Duhem算子的顺时针或逆时针特性。基于这些结果,我们引入了一种控制设计方法,用于稳定具有滞回执行器或传感器的线性对象,而无需滞回算子的精确信息。
英文摘要:
In this paper, we investigate the stability of a feedback interconnection between a linear system and a Duhem hysteresis operator, where the linear system and the Duhem hysteresis operator satisfy either the counter-clockwise (CCW) or clockwise (CW) input-output dynamics. More precisely, we present sufficient conditions for the stability of the interconnected system that depend on the CW or CCW properties of the linear system and the Duhem operator. Based on these results we introduce a control design methodology for stabilizing a linear plant with a hysteretic actuator or sensor without requiring precise information on the hysteresis operator.
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。