论文标题
非线性系统的同时输入和状态间隔观察者，具有等级缺陷直接进料
Simultaneous Input and State Interval Observers for Nonlinear Systems with Rank-Deficient Direct Feedthrough
论文作者
论文摘要
我们解决了针对Lipschitz连续非线性系统设计同时输入和状态间隔观察者的问题，该系统具有缺陷的进料，输入未知和有界噪声信号。我们提出的观察者受益于非线性分解函数和仿射抽象的存在，可以递归计算估算间隔的最大和最小元素，这些估计间隔被证明包含真实状态和未知输入。此外，我们为设计观察者的稳定性（即估计间隔宽度序列的统一界限）提供了必要和充分的条件，并证明输入间隔估计值很紧，给定状态间隔和分解函数。
We address the problem of designing simultaneous input and state interval observers for Lipschitz continuous nonlinear systems with rank-deficient feedthrough, unknown inputs and bounded noise signals. Benefiting from the existence of nonlinear decomposition functions and affine abstractions, our proposed observer recursively computes the maximal and minimal elements of the estimate intervals that are proven to contain the true states and unknown inputs. Moreover, we provide necessary and sufficient conditions for the existence and sufficient conditions for the stability (i.e., uniform boundedness of the sequence of estimate interval widths) of the designed observer, and show that the input interval estimates are tight, given the state intervals and decomposition functions.
