最优反馈控制与最优控制的鲁棒化
On Optimized Feedback Control and the Robustification of Opimal Controls
摘要：
我们考虑一个完全可控的系统。对于给定的初态、终态和目标函数，最优控制往往是定义良好的。这种最优控制的缺点是，尽管它对于给定的初态工作得很好，但对于扰动的初态，它通常没有意义。在这次演讲中，我们提出了一个概念，以获得鲁棒控制方案的组合的最优控制与稳定的反馈法。以这种方式，对于扰动的初态，系统也以合理的方式被控制。本文着重讨论波动方程的边界控制。然而，我们的概念是适用于一般的时间依赖系统的控制。
英文摘要：
We consider a system that is exactly controllable. For given initial state, terminal state and objective function, an optimal control is often well-defined. Such an optimal control has the disadvantage that although it works perfectly well for the given initial state, for a perturbed initial state it often does not make sense. In this talk we present a concept to obtain robust control schemes by the combination of the optimal control with a stabilizing feedback law. In this way, also for perturbed initial states the system is controlled in a reasonable way. In the talk we focus on the boundary control of the wave equation. However, our concept is applicable to the control of general time-dependent systems.
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。
