论文标题
调整具有给定订单的H-核控制器和与延迟的互连系统的结构
Tuning an H-Infinity Controller with a Given Order and a Structure for Interconnected Systems with Delays
论文作者
论文摘要
开发了基于特征值的框架，用于H-Infinity Norm分析及其与时间延期的耦合系统的规范最小化，这些框架自然地通过延迟差分代数方程（DDAE）来描述。对于这些方程式，分析了H-赋值规范，并研究了它们对小延迟扰动的敏感性。随后，简要介绍了基于直接优化方法的规定结构或订单，用于将H-赋值标准计算的数值方法和设计控制器的设计最小化H-赋值标准的数值方法。通过软件演示说明了该方法的有效性。本章通过指出与DDAE特征根的计算和优化的相似之处结束。
An eigenvalue based framework is developed for the H-infinity norm analysis and its norm minimization of coupled systems with time-delays, which are naturally described by delay differential algebraic equations (DDAEs). For these equations H-infinity norms are analyzed and their sensitivity with respect to small delay perturbations is studied. Subsequently, numerical methods for the H-infinity norm computation and for designing controllers minimizing the H-infinity norm 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 chapter concludes by pointing out the similarities with the computation and optimization of characteristic roots of DDAEs.
