线性系统的切换观测器：超越个体可观测性
Switching Observers for Linear Systems: Beyond Individual Observability
浏览论文内容
中文总结 AI 辅助
针对仅能获取单个输出的线性时不变系统，提出基于LMI的切换观测器设计方法，无需单个输出通道可检测，可使估计误差收敛至零。
中文摘要 AI 辅助
本文针对具有两个输出通道、任意时刻仅能获取一个输出的线性时不变系统，提出一种基于线性矩阵不等式（LMI）的切换观测器。假设同时考虑两个输出时系统可观测，且连续输出切换的时间间隔一致有界。基于这些假设，我们通过线性矩阵不等式离线设计一组依赖通道的Luenberger观测器增益，并证明所得切换观测器可使估计误差收敛至零。主要贡献在于提出了一种离线增益设计方法与收敛性结果，该方法无需单个输出通道具备可检测性。
英文摘要
This paper develops an LMI-based switching observer for linear time-invariant systems with two output channels, where only one output is available at any given time. We assume that the system is observable when both outputs are considered together, and that the time intervals between consecutive output switches are uniformly bounded. Under these assumptions, we design a set of channel-dependent Luenberger observer gains offline via linear matrix inequalities and show that the resulting switched observer drives the estimation error to zero. The main contribution is an offline gain design and convergence result for switched observers that does not require individual output channels to be detectable.
