Abstract
This paper considers the problem of the simultaneous finite-time event-triggered control and fault detection for a class of continuous-time singular Markovian jump mixed delay systems (SMJDSs) under asynchronous switching. In order to develop the control and detection objectives, the mode-dependent fault detection filters and dynamic feedback event-triggered-based controllers are designed and the switching signal between the detector/controller unit and subsystems is assumed to be asynchronous. Based on average dwell time (ADT) techniques, some new sufficient conditions for the existence of fault detection/controller unit are presented in the framework of linear matrix inequalities (LMIs) to ensure the control system has singular stochastic finite-time stability (SSFTS). Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.
Highlights
In the past decade, the fault detection problem has been widely investigated due to the rising demand for higher safety and reliability standards in modern society
In many practical cases, the fault detection systems have feedback control, that is, the fault detection system is usually of closed-loop type, and if the fault detection systems are designed separately from the control algorithms, faults may be hidden by control actions and the early detection of faults is clearly more difficult, especially low frequency faults [8,9,10,11,12,13,14,15]
Motivated by the aforementioned observations, in this paper, we will deal with the problem of simultaneous finite-time event-triggered control and fault detection for a class of singular Markovian systems with asynchronous switching signal, which based on some novel integral inequalities and average dwell time method
Summary
The fault detection problem has been widely investigated due to the rising demand for higher safety and reliability standards in modern society. Motivated by the aforementioned observations, in this paper, we will deal with the problem of simultaneous finite-time event-triggered control and fault detection for a class of singular Markovian systems with asynchronous switching signal, which based on some novel integral inequalities and average dwell time method.
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