We consider output trajectory tracking for a class of uncertain nonlinear systems whose internal dynamics may be modelled by infinite-dimensional systems which are bounded-input, bounded-output stable. We describe under which conditions these systems belong to an abstract class for which funnel control is known to be feasible. As an illustrative example, we show that for a system whose internal dynamics are modelled by a transport equation, which is not exponentially stable, we obtain prescribed performance of the tracking error.

中文翻译：

---

存在无限维内部动力学的漏斗控制

我们考虑了一类不确定非线性系统的输出轨迹跟踪，其内部动力学可以通过无限维系统建模，这些系统是有界输入，有界输出稳定。我们描述了在哪些条件下这些系统属于已知漏斗控制可行的抽象类。作为一个说明性的例子，我们展示了一个系统，其内部动力学由一个非指数稳定的传输方程建模，我们获得了规定的跟踪误差性能。