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This paper deals with the problem of fault detection and diagnosis (FDD) for singular stochastic systems. The outputs of singular stochastic systems are described by probability density functions (PDFs) based on square root B-spline expansions. Then, two non-linear observers are designed for the FDD. The conditions of stability of the correlative error(More)
This paper considers the stabilization problem of nonlinear systems with center manifold (center systems). A new method based on (system) immersion and (manifold) invariance (I&I) is introduced to stabilize the center systems. One of the key steps is to define a target dynamics whose order should be strictly smaller than that of the system to be controlled.(More)