论文标题
奇异差分 - 代数方程的模型预测控制
Model predictive control for singular differential-algebraic equations
论文作者
论文摘要
我们研究具有较高指数的奇异差异代数方程的模型预测控制。与文献相比，这是一种新颖性，在文献中，只有在索引和/或可控性方面具有其他假设的常规差异代数方程。通过正则化技术，我们能够为可以应用众所周知的模型预测控制技术的普通微分方程得出等效的最佳控制问题。这允许构建终端限制和成本，使原点在渐近稳定的W.R.T.由此产生的闭环系统。
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.
