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基于稳定块输入输出反馈结构的两参数稳定控制器实现方法

On the Implementation of Two-Parameter Stabilizing Controllers Using Stable-Block Input-Output Feedback Structures

Fernando di Sciascio

arXiv 2607.28469首次发表:更新:

AI 中文总结

本文提出一种仅用稳定块实现两参数稳定控制器的通用方法,保留设计优先级,解耦综合与实现,适用于常规SISO和MIMO对象,具备多项工程优势。

AI 中文摘要

本文提出一种通用实现方法,用于连续时间和离散时间的两参数(2-DOF)稳定控制器,仅使用稳定的组成块。该框架适用于所有常规SISO和MIMO对象,尤其适用于不满足奇偶交错特性、不可避免使用不稳定控制器的对象。与现有牺牲参数设计自由度以强制子块稳定的代数方法不同,所提方法保留设计优先级。通过在输入输出(I/O)反馈拓扑中利用Youla-Kučera参数化,将综合与实现解耦,使物理性能指标可驱动控制器设计,随后通过稳定块的循环配置实现该控制器。该架构具备局部抗积分饱和、简化初始化、提升数值鲁棒性等关键工程优势。

英文摘要

This paper a universal implementation method for continuous- and discrete-time two-parameter (2-DOF) stabilizing controllers using exclusively stable constituent blocks. The framework is valid for all regular SISO and MIMO plants, particularly those failing to satisfy the parity interlacing property where unstable controllers are unavoidable. Unlike existing algebraic approaches that compromise parametric design freedom to force sub-block stability, the proposed method preserves design precedence. By leveraging the Youla-Kučera parametrization within input-output (I/O) feedback topologies, we decouple synthesis from implementation. This allows physical performance specifications to drive the controller design, which is subsequently realized via a cyclic configuration of stable blocks. This architecture yields key engineering advantages, including localized anti-windup, simplified initialization, and improved numerical robustness.

Comments43 pages, 19 figures

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