抛物型系统的动态状态反馈控制器反步设计
Backstepping Design of Dynamic State Feedback Controllers for Parabolic Systems
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中文总结 AI 辅助
本文提出一种基于动态扩展和反步法的动态状态反馈控制器设计方法，用于稳定更一般类的抛物型系统，并可分配任意闭环动态以实现解耦的输入-输出行为。
中文摘要 AI 辅助
最近，基于动态扩展的动态状态反馈控制器已被提出用于异方向双曲型系统。本文针对耦合扩散-反应系统的控制提出了类似的概念。特定控制器动态的引入使得扩展系统具有均匀化的扩散系数。然后，为动态扩展系统设计了一个基于反步法的静态状态反馈，总体上产生了一个动态状态反馈。这种设计允许稳定更一般类的抛物型系统，并分配任意的闭环动态。这可用于例如实现解耦的输入-输出行为，而这通常无法通过静态状态反馈实现。一个仿真示例说明了结果。
英文摘要
Recently, dynamic state feedback controllers that are based on dynamic extensions have been presented for heterodirectional hyperbolic systems. In this paper, a similar concept for the control of coupled diffusion-reaction systems is suggested. The introduction of a specific controller dynamics leads to homogenized diffusion coefficients for the extended system. Then, a backstepping-based static state feedback for the dynamically extended system is designed, which, overall, results in a dynamic state feedback. Such a design allows stabilizing a more general class of parabolic systems as well as assigning arbitrary closed-loop dynamics. This can be used, e.g., to achieve a decoupled input-output behavior, which is, in general, not possible with a static state feedback. A simulation example illustrates the results.
发表机构
- Chair of Systems Theory and Control Engineering, Otto von Guericke University Magdeburg（奥托·冯·格里克马格德堡大学系统理论与控制工程系）
- Institute of Measurement, Control and Microtechnology, Ulm University（乌尔姆大学测量、控制和微技术研究所）
机构由 AI 辅助整理，请以论文原文为准。
