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This paper investigates the observer-based fault detection filtering problem for continuous-time descriptor Markov jump linear systems (DMJLSs). Both parameter uncertainties and state delays are assumed to be time-varying but bounded. A fault detection filter (FDF) is designed such that for all admissible uncertainties, the resultant filtering dynamics is robust stochastically stable, and the residual...
Using stable factorization theory and state-space realization, this paper studies the simultaneous stabilization problem for a class of singular system. Stable right inverse and stable right null space are introduced into a class of linear systems via stable factorization theory at first. Then, a new design approach of all simultaneous stabilizing general controllers for a class of singular system...
In this paper, sliding mode observer is applied to solve fault detection and reconstruction problem for singular bilinear systems with input or measurement faults. To detect and isolate faults, a sliding mode observer based approach is proposed. A feed-forward signal is defined and the existence conditions of fault detection and reconstruction are addressed. An illustrative example is given to demonstrate...
This paper deals with the problem of observer-based robust fault detection for continuous-time descriptor Markovian jump linear systems with unknown input. The fault detection filter is designed such that the residual signal is sensitive to the fault but robust to the unknown input. A sufficient condition to the existence of the desired robust fault detection filter is obtained based on a generalized...
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