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State estimation for a class of nonlinear systems

Benoît Schwaller;  Denis Ensminger;  Birgitta Dresp-Langley;  José Ragot — 2013

International Journal of Applied Mathematics and Computer Science

We propose a new type of Proportional Integral (PI) state observer for a class of nonlinear systems in continuous time which ensures an asymptotic stable convergence of the state estimates. Approximations of nonlinearity are not necessary to obtain such results, but the functions must be, at least locally, of the Lipschitz type. The obtained state variables are exact and robust against noise. Naslin's damping criterion permits synthesizing gains in an algebraically simple and efficient way. Both...

State estimation for miso non-linear systems in controller canonical form

Benoît Schwaller;  Denis Ensminger;  Birgitta Dresp-Langley;  José Ragot — 2016

International Journal of Applied Mathematics and Computer Science

We propose a new observer where the model, decomposed in generalized canonical form of regulation described by Fliess, is dissociated from the part assuring error correction. The obtained stable exact estimates give direct access to state variables in the form of successive derivatives. The dynamic response of the observer converges exponentially, as long as the nonlinearities are locally of Lipschitz type. In this case, we demonstrate that a quadratic Lyapunov function provides a number of inequalities...

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