论文标题

开环收缩设计

Open-loop contraction design

论文作者

Lee, Jin Gyu, Burghi, Thiago B., Sepulchre, Rodolphe

论文摘要

考虑到非线性系统的非合同轨迹,我们考虑了设计输入扰动的问题,该问题使扰动轨迹收缩。本文强调了这个问题的类比,这是反馈​​稳定的经典问题。特别是,证明了确保逆系统收缩的输出变量的存在促进了收缩输入扰动的设计。我们在参数估计中说明了这个问题的相关性。

Given a non-contracting trajectory of a nonlinear system, we consider the question of designing an input perturbation that makes the perturbed trajectory contracting. This paper stresses the analogy of this question with the classical question of feedback stabilization. In particular, it is shown that the existence of an output variable that ensures contraction of the inverse system facilitates the design of a contracting input perturbation. We illustrate the relevance of this question in parameter estimation.

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