Observer design for a class of nonlinear descriptor systems

Positive real control for discrete-time singular systems with affine parameter dependence

“…Then, by replacing Z with F X R 0 S Â Ã in Eq. (15), straightforward calculation leads to the condition (14) associated with the close-loop system (8). Hence, the closed-loop system (8) is admissible and its transfer function from w(k) to y(k) is ESPR.…”

“…Conversely, if Problem 1 is solvable, then the condition (14) holds for the closed-loop system (8). Using the linear change of variables F X…”

“…A number of control issues have been successfully extended to singular systems and the related results have been reported, for instance, in [2][3][4][5][6][7][8] and references therein.…”

Fault diagnosis and fault tolerant control scheme for a class of non‐linear singular systems

“…In this context, many methods have been developed as for instance observer-based approaches [1][2][3][4], identification-based methods [5,6], fuzzy logic-based approaches [7][8][9][10] and neural-network-based methods [11,12]. The effectiveness of these approaches for detecting and diagnosing certain types of system faults, which can take the form of sensor faults, actuator faults or process faults, was demonstrated in several application cases [13,14]. Among the model-based FDD methods, the observer-based method plays an important role, in which the key issue is to select suitable diagnostic observer parameters and design a fault estimation rule so that the observation error system is asymptotically stable and the estimated faults approach their true values.…”

Design of Causal Observers for Nonlinear Descriptor Systems

“…Many publications deal with nonlinear descriptor systems which can be described by a linear one disturbed by some nonlinearity (see e.g. [10,11,15,22,23,27,33,35,36,38,39]). If the nonlinearity satisfies a local Lipschitz condition, it is compensated and the design is carried on with linear methods.…”