Fault Estimation for Markovian Jump Systems with Sliding Mode Observer

This paper investigates the problem with fault estimation (FE) for Markovian jump systems (MJSs). With the rapid development of modern control systems, FE technology, as a means of improving system
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fety,
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liability, and stability, has attracted much attention. Affected by the aforementioned motivations, a class of MJSs which comprise external disturbances and sensor failures are presumed. The original system first decouples through coordinate changes. Afterwards, two sliding mode observers (SMO) in order to obviate external disturbances and estimate sensor faults are designed separately. Then, the error system with stability is proven. Eventually, giving a practical simulation to demonstrate the proposed method.