论文标题
有界误差LTI系统的分布式间隔观察者
Distributed Interval Observers for Bounded-Error LTI Systems
论文作者
论文摘要
本文提出了一种新颖的分布式间隔观察者设计，用于线性时间不变（LTI）离散时间系统，受到有限扰动的影响。在拟议的观察者算法中，网络组中的每个代理都与邻居交换本地计算的框架或间隔值的状态估计，并通过交叉点操作协调其更新。我们表明，所提出的制定者可以通过构造（即不施加任何其他假设或约束）来束缚系统的真实状态轨迹。此外，我们为分布式观察者的集体稳定性（即保证观察者误差序列的均匀界限）提供了必要和充分的条件。特别是，我们表明可以通过建设性和分布式方法可以谨慎地满足此类条件。此外，我们提供了一种算法来验证给定系统的某些结构条件，以保证提出的观察者的存在。最后，模拟结果证明了我们提出的方法与文献中现有的分布式观察者相比的有效性。
This paper proposes a novel distributed interval observer design for linear time-invariant (LTI) discrete-time systems subject to bounded disturbances. In the proposed observer algorithm, each agent in a networked group exchanges locally-computed framers or interval-valued state estimates with neighbors, and coordinates its update via an intersection operation. We show that the proposed framers are guaranteed to bound the true state trajectory of the system by construction, i.e., without imposing any additional assumptions or constraints. Moreover, we provide necessary and sufficient conditions for the collective stability of the distributed observer, i.e., to guarantee the uniform boundedness of the observer error sequence. In particular, we show that such conditions can be tractably satisfied through a constructive and distributed approach. Moreover, we provide an algorithm to verify some structural conditions for a given system, which guarantee the existence of the proposed observer. Finally, simulation results demonstrate the effectiveness of our proposed method compared to an existing distributed observer in the literature.
