论文标题
间隔观察者合成局部Lipschitz非线性动力学系统，通过混合 - 马诺酮分解
Interval Observer Synthesis for Locally Lipschitz Nonlinear Dynamical Systems via Mixed-Monotone Decompositions
论文作者
论文摘要
本文提出了一种新型的统一间隔值观察者合成方法，用于局部Lipschitz非线性连续时间（CT）和具有非线性观察的离散时间（DT）系统。我们提出的观察者的一个关键特征是使用混合单酮分解来得出的，它是通过构造正确的（即，系统的真实状态轨迹是由观察者状态构建的），而无需在现有的方法中强加其他约束和假设，例如全球连续性或contraction contraction或contraction contraction和Global lipschitz的连续性或缩写。此外，我们得出了足够的条件，以线性基质不平等（LMI）的形式设计稳定观察者的收益。最后，我们将观察者设计的性能与文献中的一些基准CT和DT观察者进行了比较。
This paper proposes a novel unified interval-valued observer synthesis approach for locally Lipschitz nonlinear continuous-time (CT) and discrete-time (DT) systems with nonlinear observations. A key feature of our proposed observer, which is derived using mixed-monotone decompositions, is that it is correct by construction (i.e., the true state trajectory of the system is framed by the states of the observer) without the need for imposing additional constraints and assumptions such as global Lipschitz continuity or contraction, as is done in existing approaches in the literature. Furthermore, we derive sufficient conditions for designing stabilizing observer gains in the form of Linear Matrix Inequalities (LMIs). Finally, we compare the performance of our observer design with some benchmark CT and DT observers in the literature.
