State estimation for linear hybrid systems with periodic jumps and unknown inputs
State estimation for linear hybrid systems with periodic jumps and unknown inputs
复制标题
具有周期性跳跃和未知输入的线性混合系统的状态估计
DOI：
10.1002/rnc.4922
复制
发表时间：
2020
影响因子：
3.9
通讯作者：
A. Teel
中科院分区：
文献类型：
--
作者：
H. Ríos;J. Dávila;A. Teel
为了解决具有周期跳变和未知输入的线性混杂系统的状态估计问题，提出了一种混合观测器。所提出的观测器采用类Luenberger结构，并以线性矩阵不等式(LMI)的形式给出了综合。因此，所提出的观测器设计是完全构造性的，并且提供了一些关于未知输入的输入到状态的稳定性性质。值得一提的是，混合观测器的结构以及LMI的结构分别取决于流动和跳跃动力学的某些可观测性。然后，为了补偿未知输入的影响，在类Luenberger观测器结构中增加了一个混合滑模观测器，使状态估计误差在任何一类未知输入下指数收敛到零。混杂观测器和未知输入混杂观测器的存在当且仅当混杂系统是可观测的和强可观测的。一些数值例子说明了所提出的估计方法的可行性。
In order to solve the state estimation problem for linear hybrid systems with periodic jumps and unknown inputs, some hybrid observers are proposed. The proposed observers admit a Luenberger‐like structure and the synthesis is given in terms of linear matrix inequalities (LMIs). Therefore, the proposed observer designs are completely constructive and provide some input‐to‐state stability properties with respect to unknown inputs. It is worth mentioning that the structure of the hybrid observers, as well as the structure of the LMIs, depends on some observability properties of the flow and jump dynamics, respectively. Then, in order to compensate the effect of the unknown inputs, a hybrid sliding‐mode observer is added to the Luenberger‐like observer structure, providing exponential convergence to zero of the state estimation error despite certain class of unknown inputs. The existence of the hybrid observers and the unknown input hybrid observer is guaranteed if and only if the hybrid system is observable and strongly observable, respectively. Some numerical examples illustrate the feasibility of the proposed estimation approach.