A robust anti-windup design procedure for SISO systems
A robust anti-windup design procedure for SISO systems
复制标题
SISO 系统的稳健抗饱和设计程序
DOI：
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发表时间：
2011
影响因子：
2.1
通讯作者：
I. Postlethwaite
中科院分区：
文献类型：
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作者：
M. Kerr;M. Turner;E. Villota;S. Jayasuriya;I. Postlethwaite
针对约束不确定线性单输入单输出（SISO）系统，基于定量反馈理论（QFT）回路成形，提出了一种基于模型的抗饱和（AW）控制器设计方法。该设计方法明确纳入了不确定性，是适合的幅度和速率饱和问题的解决方案，并提供了满足鲁棒稳定性和鲁棒性能目标的低阶AW控制器的设计。使用绝对稳定性理论和通用乘法器（即圆，波波夫，Zames-Falb）执行鲁棒稳定性，并且使用捕获饱和效应作为度量的输入-输出映射上的线性下限执行鲁棒性能。给出了两个详细的设计实例。这些结果表明，即使对于简单的系统，某些流行的AW技术导致补偿器，可能无法确保鲁棒稳定性和性能时，遇到饱和，但建议的QFT设计方法是能够有效地处理饱和和不确定性。
A model-based anti-windup (AW) controller design approach for constrained uncertain linear single-input–single-output (SISO) systems is proposed based on quantitative feedback theory (QFT) loopshaping. The design approach explicitly incorporates uncertainty, is suitable for the solution of both the magnitude and rate saturation problems, and provides for the design of low-order AW controllers satisfying robust stability and robust performance objectives. Robust stability is enforced using absolute stability theory and generic multipliers (i.e. circle, Popov, Zames–Falb), and robust performance is enforced using linear lower-bounds on the input–output maps capturing the effects of saturation as a metric. Two detailed design examples are presented. These show that even for simple systems, certain popular AW techniques lead to compensators that may fail to ensure robust stability and performance when saturation is encountered, but that the proposed QFT design approach is able to handle both saturation and uncertainty effectively.