不完全信息下齐次容错系统的近最优设计
Near-Optimal Design for Fault-Tolerant Systems with Homogeneous Components under Incomplete Information
摘要：
在本文中，我们研究的容错控制系统由多个同质组件，如并行处理机。与具有单个组件的系统相比，这种类型的系统通常对不确定性更具鲁棒性。每个组件的状态为工作模式或故障。在任何时刻，每个部件可以根据伯努利概率分布独立地变得有故障。如果一个组件有故障，它将一直保持这样，直到它被修复。我们的目标是设计一个容错系统，依次选择以下三个选项之一：（a）不做任何零成本; b）检测故障组件的数量在检查的成本，和c）修复系统的成本修复故障组件。Bellman方程的开发，以确定一个近最优解的问题。通过数值模拟验证了所提方法的有效性。
英文摘要：
In this paper, we study a fault-tolerant control for systems consisting of multiple homogeneous components such as parallel processing machines. This type of system is often more robust to uncertainty compared to those with a single component. The state of each component is either in the operating mode or faulty. At any time instant, each component may independently become faulty according to a Bernoulli probability distribution. If a component is faulty, it remains so until it is fixed. The objective is to design a fault-tolerant system by sequentially choosing one of the following three options: (a) do nothing at zero cost; b) detect the number of faulty components at the cost of inspection, and c) fix the system at the cost of repairing faulty components. A Bellman equation is developed to identify a near-optimal solution for the problem. The efficacy of the proposed solution is verified by numerical simulations.
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