Event-Triggered Multiobjective Control and Fault Diagnosis: A Unified Framework
Event-Triggered Multiobjective Control and Fault Diagnosis: A Unified Framework
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DOI：
10.1109/tii.2016.2541669
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发表时间：
2017-02
影响因子：
12.3
通讯作者：
M. Davoodi;N. Meskin;K. Khorasani
中科院分区：
文献类型：
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作者：
M. Davoodi;N. Meskin;K. Khorasani
在线性系统的鲁棒控制、故障诊断和容错控制领域，许多基本问题可以被重新定义为$H_\infty$、$l_1$和广义$H_2$控制框架，从而导致所谓的混合范数或多目标优化问题。本文通过统一的框架，提出了一种新的线性矩阵不等式（LMI）方法来解决反馈控制器和故障诊断滤波器的事件触发多目标综合问题。为此，首先定义了一个称为事件触发集成故障检测、隔离和控制（E-IFDIC）的一般问题。通过使用过滤器来表示、表征和指定E-IFDIC模块，基于$H_\infty$、$H_{-}$、$l_1$和广义$H_2$性能标准开发了问题的多目标公式。结果表明，当事件触发策略同时应用于传感器和E-IFDIC模块时，通过传感器到E-IFDIC模块和E-IFDIC模块到执行器通道发送的数据量大大减少。导出了一组LMI可行性条件，保证了问题的可解性，同时获得了E-IFDIC模块参数和事件触发条件。最后表明，在时间触发控制和事件触发控制以及故障诊断领域存在的某些问题可以作为我们提出的方法的特例。本文还提供了两个工业案例研究，以说明和证明我们提出的设计方法与文献中现有工作相比的有效性。
In the area of robust control, fault diagnosis, and fault tolerant control of linear systems, many fundamental problems can be recast as $H_\infty$, $l_1$ and generalized $H_2$ control frameworks leading to the so-called mixed norm or multiobjective optimization problems. This paper develops a new linear matrix inequality (LMI) approach to the problems of event-triggered multiobjective synthesis of feedback controllers and fault diagnosis filters through a unified framework. Toward this end, at first a general problem known as event-triggered integrated fault detection, isolation and control (E-IFDIC) is defined. By utilizing a filter to represent, characterize, and specify the E-IFDIC module, a multiobjective formulation of the problem is developed based on $H_\infty$, $H_{-}$, $l_1$ and generalized $H_2$ performance criteria. It is shown that when an event-triggered strategy is applied to both the sensor and E-IFDIC module, the amount of data that is sent through the sensor-to-E-IFDIC module and E-IFDIC module-to-actuator channels are dramatically reduced. A set of LMI feasibility conditions is derived to ensure the solvability of the problem, as well as to simultaneously obtain the E-IFDIC module parameters and the event-triggered conditions. Finally, it is shown that certain existing problems in the fields of time and event-triggered control and fault diagnosis can be considered as special cases of our proposed methodology. Two industrial case studies are also provided to illustrate and demonstrate the effectiveness of our proposed design methodology when compared with available work in the literature.