奇异微分-代数方程的模型预测控制
Model predictive control for singular differential-algebraic equations
摘要：
研究了高指标奇异微分代数方程的模型预测控制问题.这是一个新颖的文献相比，只有经常微分-代数方程的指数和/或可控性被认为是额外的假设。通过正则化技术，我们能够推导出一个等价的最优控制问题的常微分方程，其中著名的模型预测控制技术可以应用。这允许终端的约束和成本的建设，使原点是渐近稳定的w.r.t.形成闭环系统。
英文摘要：
We study model predictive control for singular differential-algebraic equations with higher index. This is a novelty when compared to the literature where only regular differential-algebraic equations with additional assumptions on the index and/or controllability are considered. By regularization techniques, we are able to derive an equivalent optimal control problem for an ordinary differential equation to which well-known model predictive control techniques can be applied. This allows the construction of terminal constraints and costs such that the origin is asymptotically stable w.r.t. the resulting closed-loop system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
