2008 American Control Conference 2008
DOI: 10.1109/acc.2008.4586629
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Stability conditions for discrete time fault tolerant control systems with state delays

Abstract: A DTFTCS in noisy environments subject to delays and driven by a state feedback controller is developed. Second moment stability for the proposed delayed DTFTCS is investigated. A delay-independent sufficient condition that guarantee the H∞ second moment stability and achieve δ-level of disturbance rejection is derived and proved. Results are obtained using Lyapunov function approach and formulated as feasibility solution for a set of linear matrix inequalities (LMI). The theory is demonstrated by a numerical … Show more

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Cited by 17 publications
(13 citation statements)
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“…But if the signalṙ(t) can not be easily obtained from certain systems, we should resort to other alternative methods. In order to deal with this problem,ṙ f (t) is introduced to be a substitute forṙ(t) [24]. The relationship is defined as follows:…”
Section: Remarkmentioning
confidence: 99%
“…But if the signalṙ(t) can not be easily obtained from certain systems, we should resort to other alternative methods. In order to deal with this problem,ṙ f (t) is introduced to be a substitute forṙ(t) [24]. The relationship is defined as follows:…”
Section: Remarkmentioning
confidence: 99%
“…In [6], the authors studied the stochastic stability and controller design for the nominal discrete time FTC system, and then, [7] extended the results to include norm bounded parameter uncertainties in the modeling of discrete time FTC system. Parameter uncertainties [8] and stochastic stability with state delays [9] were studied for a class of discrete time fault tolerant control system, respectively. By using a newly constructed Lyapunov functional and the average dwell time scheme, a FTC method for a class of discrete-time switched systems with time-varying delay and actuator saturation is investigated in [10].…”
Section: Introductionmentioning
confidence: 99%
“…So it is important that faults can be promptly detected and appropriate remedies can be applied. Fault detection and isolation (FDI) and fault-tolerant control (FTC) problems have attracted persistent attention over the past decades [7][8][9][10][11][12][13].…”
Section: Introductionmentioning
confidence: 99%