论文标题
通过平衡诱饵系统的平衡截断来减少模型
Model reduction by balanced truncation of dominant Lure systems
论文作者
论文摘要
该论文介绍了一个模型还原框架，旨在分析和振荡的系统的分析和设计。尽管这种现象本质和工程无处不在，但模型还原方法并没有针对非平衡行为开发。提出的框架通过利用统治理论的最新进展来满足这一需求。线性时间不变系统的经典平衡截断用于为诱饵系统开发一种优势提供模型还原方法，即可以作为线性系统的反馈互连和静态非线性分解的系统。通过近似离散的热流控制系统的振荡行为来说明该方法。
The paper presents a model reduction framework geared towards the analysis and design of systems that switch and oscillate. While such phenomena are ubiquitous in nature and engineering, model reduction methods are not well developed for non-equilibrium behaviors. The proposed framework addresses this need by exploiting recent advances on dominance theory. Classical balanced truncation for linear time-invariant systems is used to develop a dominance-preserving model reduction method for Lure systems, i.e. systems that can be decomposed as the feedback interconnection of a linear system and a static nonlinearity. The method is illustrated by approximating the oscillatory behavior of a discretized heat flow control system.
