论文标题

强大的数据驱动的非线性预测控制方案的实用指数稳定性

Practical exponential stability of a robust data-driven nonlinear predictive control scheme

论文作者

Alsalti, Mohammad, Lopez, Victor G., Berberich, Julian, Allgöwer, Frank, Müller, Matthias A.

论文摘要

当由反馈可线化的非线性系统的闭环系统的递归可行性和实用指数稳定性时,我们提供了理论保证,当时由可靠的数据驱动的非线性非线性预测控制方案控制。该技术报告是我们最近的论文“数据驱动的非线性预测控制可线化系统”的补充材料。本报告中显示的参数遵循与LTI情况相似的步骤,因为反馈可线化的系统在变换的坐标中是线性的。但是,该证明适当地适合与正在考虑的非线性设置相匹配,并且在整个证明过程中都强调了差异。

We provide theoretical guarantees for recursive feasibility and practical exponential stability of the closed-loop system of a feedback linearizable nonlinear system when controlled by a robust data-driven nonlinear predictive control scheme. This technical report serves as a supplementary material to our recent paper "Data-driven Nonlinear Predictive Control for Feedback Linearizable Systems". The arguments shown in this report follow similar steps to those for the LTI case, since feedback linearizable systems are linear in transformed coordinates. However, the proof was suitably adapted to match the nonlinear setting under consideration, and the differences are emphasized throughout the proof.

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