标题： 代数控制：完整的稳定逆与充分必要条件 显示英文标题

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

摘要： 在本文中，我们建立了稳定逆的必要和充分条件，解决了非最小相位、非方阵和奇异系统中的挑战。 基于H-无穷大的代数逼近方法被引入以实现无预览的近似完美跟踪。 此外，我们提出了一种新的鲁棒控制策略，将标称模型与双前馈控制结合以形成反馈结构。 数值比较证明了该方法的有效性。 显示英文摘要

摘要： In this paper, 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.