1995
DOI: 10.1007/978-1-4471-3066-6_4
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Local Model Architectures for Nonlinear Modelling and Control

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Cited by 65 publications
(81 citation statements)
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“…As considered in (Johansen et al, 1998), (Murray-Smith and Johansen, 1997) and (Theilliol et al, 2003b), a possible model that would be able to catch the full range of operation is made from N weighting local models OP j by interpolation functions ρ j k . These activation…”
Section: Problem Statementmentioning
confidence: 99%
See 1 more Smart Citation
“…As considered in (Johansen et al, 1998), (Murray-Smith and Johansen, 1997) and (Theilliol et al, 2003b), a possible model that would be able to catch the full range of operation is made from N weighting local models OP j by interpolation functions ρ j k . These activation…”
Section: Problem Statementmentioning
confidence: 99%
“…For nonlinear systems, the design of Fault Tolerant controller is far more complicated. Nonlinear systems based on multiple linear models, represents an attractive solution to deal with the control of nonlinear systems (Leith and Leithead, 2000), (Banerjee et al, 1995) or FDI methods as in the chapter nine of (Chen and Patton, 1999) where nonlinear dynamic systems are described by a number of locally linearized models based on the idea of Tagaki-Sugeno fuzzy models or as interpolated multiple linear models (Murray-Smith and Johansen, 1997). Various recent FDI/FTC studies, based on a multiple model method have been developed in order to detect, isolate and estimated an accurate state of a system in presence of faults/failures around an operating point (Maybeck, 1999), (Zhang and Jiang, 2001).…”
Section: Introductionmentioning
confidence: 99%
“…Obviously, there is a trade-off between the number and size of the operating regimes on the one hand, and the complexities of the local models on the other (Murray-Smith and Johansen, 1997). For instance, at one extreme one can have only one large operating regime that covers the full range of operation and, therefore, the local model must typically be complex since it is actually the global model.…”
Section: Local Model Nelworkmentioning
confidence: 99%
“…In the following, we consider that D i = 0. As proposed in fault-free case in [7], [9] and in faulty-case in [17](where E i was not considered), (2) can be specified by the set of system matrices:…”
Section: A Nonlinear Representationmentioning
confidence: 99%
“…This approach is successfully used for some nonlinear systems in control field but rarely in FDI, and consists in partitioning the operating range of a system into separate regions in order to synthesize a global representation. The reader could refer to [7] for a global review on multiple models strategy, and also for well developed identification method and modeling problems. A polytopic representation is sometimes used in multi-model for nonlinear systems modeling as for example in fault-free case in [8], [9], [10] and [11], and in faulty case in [12].…”
Section: Introductionmentioning
confidence: 99%