Titlebook: Observer Design for Nonlinear Systems; Pauline Bernard Book 2019 Springer Nature Switzerland AG 2019 Nonlinear Observers.High Gain Observe

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Transformations into State-Affine Normal Forms forms. This includes the linearization by output injection and the nonlinear Luenberger design. The former consists in transforming the system into linear dynamics (possibly depending on the input/output), and such that the output is a linear function of the new state. On the other hand, the latter

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Transformation Into Triangular Forms enables to transform a system into a phase-variable form (with a nonlinearity on the last line only) but via a map that depends on the derivatives of the input, which may not be desirable. To suppress this dependence, the famous uniform observability (“observability for any input”) is necessary to

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Around Problem 8.1: Augmenting an Injective Immersion into a Diffeomorphismull-rank rectangular Jacobian of the injective immersion into an invertible square matrix. Indeed, when this is possible, an explicit formula for the diffeomorphism is given. Several sufficient conditions for a Jacobian complementation are given with either explicit formulas or constructive algorith

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Book 2019ied overview of a broad range of general designs, including the most recent results and their proofs, such as the homogeneous and nonlinear Luenberger design techniques..?.The book starts from the observation that most observer designs consist in looking for a reversible change of coordinates transf

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