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Strict distinguishability is the property of two systems to generate identical output signals only for the zero control input and the zero initial state vector. The objective of this paper is to characterize this property for single-output nonlinear control-affine systems. In this context, we first introduce the indistinguishability zone of the systems. This zone represents the set of control inputs...
Fault detection for linear systems has been mainly investigated through residual generation, robustness and sensitivity problems, identification and detection of changes. Concerning nonlinear systems it has been mainly developed for bilinear systems and through nonlinear observers. Little attention has been paid to parity space methods concerning nonlinear systems. Considering the class of dynamical...
In this paper, we consider a switching system with several operating modes which represent normal or faulty behavior. The objective is to find a necessary and sufficient condition to distinguish these modes through the input/output data. If faulty operation modes are considered the distinguishability condition corresponds to a fault detectability condition. As in [1], we define in this paper two notions...
The main contribution of this paper is to provide an identification method to a single MIMO (multiple-input multiple-output) Takagi-Sugeno (TS) model for nonlinear MIMO systems. The methods proposed in the literature identify several TS MISO models and this needs the outputs to be separable. But this condition is not necessary in the proposed method. The TS identification method proposed uses the...
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