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This paper deals with guaranteed state estimation for a large class of nonlinear continuous-time systems in a bounded error context. The proposed observer is based on a guaranteed Linear Parameter-Varying (LPV) approximation of the original nonlinear model. The linearisation is justified since it is difficult to develop generic methods for computing a stable observer for a nonlinear system. The Luenberger...
This paper deals with fault detection for nonlinear continuous-time systems. A procedure based on interval analysis is proposed to build a guaranteed qLPV (quasi-Linear Parameter-Varying) approximation of the nonlinear model. The interval qLPV approximation makes it possible to derive two point observers which estimate respectively the lower and the upper bound of the state vector using cooperativity...
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