论文标题
非线性系统的同时输入和状态间隔观察者，具有全等级直接进料
Simultaneous Input and State Interval Observers for Nonlinear Systems with Full-Rank Direct Feedthrough
论文作者
论文摘要
为LIPSCHITZ连续非线性系统提供了同时的输入和状态间隔观察者，对于直接进料矩阵具有完整的列等级时，具有未知输入和有界噪声信号的连续非线性系统。观察者利用了混合单调映射的边界分解函数的存在，以递归计算与输出/测量信号兼容的估计间隔的最大和最小元素，并被证明包含真实状态和未知输入。此外，我们得出了分解函数的LIPSCHITZ样性能，该特性为设计的观察者的稳定性和估计间隔宽度序列的界限提供了几种足够的条件。最后，使用说明性示例证明了我们方法的有效性。
A simultaneous input and state interval observer is presented for Lipschitz continuous nonlinear systems with unknown inputs and bounded noise signals for the case when the direct feedthrough matrix has full column rank. The observer leverages the existence of bounding decomposition functions for mixed monotone mappings to recursively compute the maximal and minimal elements of the estimate intervals that are compatible with output/measurement signals, and are proven to contain the true state and unknown input. Furthermore, we derive a Lipschitz-like property for decomposition functions, which provides several sufficient conditions for stability of the designed observer and boundedness of the sequence of estimate interval widths. Finally, the effectiveness of our approach is demonstrated using an illustrative example.
