论文标题

基于特征值的算法和软件,用于设计与时间延期的固定顺序稳定控制器的固定稳定控制器

Eigenvalue based algorithms and software for the design of fixed-order stabilizing controllers for interconnected systems with time-delays

论文作者

Michiels, Wim, Gumussoy, Suat

论文摘要

开发了基于特征值的框架,用于与时间延期的耦合系统的稳定性分析和稳定,这是由延迟差分代数方程式自然描述的。考虑到小延迟扰动的影响,分析了这些方程的光谱特性,并研究了其稳定性。随后,简要介绍了基于直接优化方法的规定结构或顺序设计稳定控制器的数值方法。通过软件演示说明了该方法的有效性。本文指出了与H-赋值规范的计算和优化相似之处。

An eigenvalue based framework is developed for the stability analysis and stabilization of coupled systems with time-delays, which are naturally described by delay differential algebraic equations. The spectral properties of these equations are analyzed and their stability properties are studied, taking into account the effect of small delay perturbations. Subsequently, numerical methods for stability assessment and for designing stabilizing controllers with a prescribed structure or order, based on a direct optimization approach, are briefly addressed. The effectiveness of the approach is illustrated with a software demo. The paper concludes by pointing out the similarities with the computation and optimization of H-infinity norms.

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