负虚系统理论在高谐振柔性结构鲁棒控制中的应用
Negative Imaginary Systems Theory in the Robust Control of Highly Resonant Flexible Structures
AI总结：
本文综述了负虚系统理论的最新发展，并展示了其在控制高谐振柔性结构中的应用，通过负虚引理和稳定性结果保证了鲁棒闭环稳定性。
摘要：
本文涵盖了负虚系统理论的最新发展及其在高谐振柔性结构控制中的应用。负虚系统理论源于统一多种经典方法的需求，这些方法用于控制具有共置力执行器和位置传感器的轻阻尼结构，包括正位置反馈和积分力反馈。关键结果是一个稳定性结果，它解释了为什么这些方法在面对未建模的溢出动力学时能够保证鲁棒闭环稳定性。相关结果将负虚系统理论与正实系统理论联系起来，并建立了类似于正实引理的负虚引理。本文还介绍了基于负虚系统理论的最新控制器综合结果。
英文摘要：
This paper covers recent developments in the theory of negative imaginary systems and their application to the control of highly resonant flexible structures. The theory of negative imaginary systems arose out of a desire to unify a number of classical methods for the control of lightly damped structures with collocated force actuators and position sensors including positive position feedback and integral force feedback. The key result is a stability result which shows why these methods are guaranteed to yield robust closed loop stability in the face of unmodelled spillover dynamics. Related results to be presented connect the theory of negative imaginary systems to positive real systems theory and a negative imaginary lemma has been established which is analogous to the positive real lemma. The paper also presents recent controller synthesis results based on the theory of negative imaginary systems.
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