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Simultaneous fault detection and controller design for networked-based discrete-time switched systems with time-varying delays

机译：具有时变时滞的基于网络的离散时间切换系统的同时故障检测和控制器设计

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摘要

This paper studies the problem of simultaneous fault detection (FD) and control of discrete-time switched systems with time-varying delays under an arbitrary switching signal in a network communication. The missing phenomenon is assumed to occur, in the communication links for sensor-to-controller and controller-to-actuator, where the missing probability of packet dropouts is governed as two different mutually independent Bernoulli distributed white sequences with known conditional probability distributions. The main attention is focused on designing the robust fault detection filter (FDF) such that the estimation error between the residual and fault is minimized in an exponential way and at the same time the closed-loop networked switched system is exponentially stable in the mean-square sense. The simultaneous fault detection and controller design problem is converted into an exponential H filtering problem. By a multiple Lyapunov-Krasovskii functional (LKF) and the average dwell-time scheme, a novel delay-dependent sufficient conditions are developed to ensure the resulting error system is exponentially stable with an optimized H disturbance attenuation level. The solution of the parameters of the controllers and fault detection filters is characterized in terms of the feasibility of a convex optimization problem. A numerical example is given to illustrate the effectiveness of the obtained results.
机译：本文研究了网络通信中任意切换信号下具有时变时滞的离散时间切换系统的同时故障检测（FD）和控制问题。假定在传感器到控制器和控制器到执行器的通信链路中发生丢失现象，其中数据包丢失的丢失概率被控制为具有已知条件概率分布的两个不同的相互独立的伯努利分布的白色序列。主要的注意力集中在设计健壮的故障检测滤波器（FDF）上，以使残差和故障之间的估计误差以指数方式最小化，同时闭环网络交换系统在以下方面均呈指数稳定：方形感。故障同时检测和控制器设计问题被转换为指数H滤波问题。通过多个Lyapunov-Krasovskii函数（LKF）和平均停留时间方案，开发了一种新的依赖于延迟的充分条件，以确保得到的误差系统在优化的H干扰衰减水平下呈指数稳定。控制器和故障检测滤波器的参数解的特征在于凸优化问题的可行性。数值例子说明了所得结果的有效性。

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