论文标题
非线性系统的漏斗控制
Funnel control of nonlinear systems
论文作者
论文摘要
参考信号的跟踪是在由$ r $ th阶功能微分方程建模的一类非线性控制系统的上下文中解决的,其中包含具有未知“控制方向”和Dead-neve dead Zone输入效应的Interia Interia Interia Systems。开发了一个控制结构,该结构可确保对基础系统类别的每个成员以及每个受欢迎的参考信号的每个成员,跟踪误差都会在被选为反映瞬态和渐近准确性目标的规定漏斗中演变。系统类别的两个基本属性:有界输入有限输出稳定的内部动力学和高增益属性(其中的先决性是在线性系统的上下文中标志性高频增益的概念)。
Tracking of reference signals is addressed in the context of a class of nonlinear controlled systems modelled by $r$-th order functional differential equations, encompassing inter alia systems with unknown "control direction" and dead-zone input effects. A control structure is developed which ensures that, for every member of the underlying system class and every admissible reference signal, the tracking error evolves in a prescribed funnel chosen to reflect transient and asymptotic accuracy objectives. Two fundamental properties underpin the system class: bounded-input bounded-output stable internal dynamics, and a high-gain property (an antecedent of which is the concept of sign-definite high-frequency gain in the context of linear systems).