标题： 代数控制：必要且充分条件下的完全稳定反演 显示英文标题

标题： Algebraic Control: Complete Stable Inversion with Necessary and Sufficient Conditions

摘要： 基于学习的控制领域近期取得的进展引发了人们对稳定逆控制的兴趣，以满足日益增长的性能需求。 本文建立了稳定逆控制的充分必要条件，解决了非最小相位、非方程和奇异系统中的挑战。 引入了一种基于H-∞的代数近似方法，用于无预览情况下的近完美跟踪。 此外，我们提出了一种新颖的鲁棒控制策略，该策略结合了名义模型与双重前馈控制，形成反馈结构。 数值比较证明了该方法的有效性。 显示英文摘要

摘要： Recent advances in learning-based control have increased interest in stable inversion to meet growing performance demands. Here, we establish necessary and sufficient conditions for stable inversion, addressing challenges in non-minimum phase, non-square, and singular systems. An H-Infinity based algebraic approximation is introduced for near-perfect tracking without preview. Additionally, we propose a novel robust control strategy combining the nominal model with dual feedforward control to form a feedback structure. Numerical comparison demonstrates the approach's effectiveness.