We address the problem of designing an observer for triangular non locally Lipschitz dynamical systems. We show the convergence with an arbitrary small error of the classical high gain observer in presence of nonlinearities verifying some Hölder-like condition. Also, for the case when this Hölder condition is not verified, we propose a novel cascaded high gain observer. Under slightly more rest...

This paper develops a novel linear quadratic observer and tracker for the linear sampled data regular system with a direct transmission term from input to output. At the beginning, we use some existing techniques to decompose the singular system into an equivalent regular system which has a direct transmission term from input to output. Then, based on this equivalent regular system, a high-gain...

This paper proposes a relatively simple adaptive controller for systems with higher relative degree. Only little information on the system is needed: only the relative degree and a lower bound on the positive high-frequency gain. The zero-dynamics does not need to be asymptotically stable, boundedness is sufficient. The controller achieves λ-tracking for a large class of nonlinear systems and c...

This paper proposes an alternative optimal fuzzy high‐gain observer design scheme. The structure of the proposed observer is represented by the Takagi‐Sugeno fuzzy model and has the integrator of the estimation error. It improves the performance of a high‐gain observer and makes the observer robust against noisy measurements, uncertainties and parameter perturbation. Th...

Kitsos, Constantinos Besan, Gildas Prieur, ChristopheThis chapter proposes some non-trivial extensions of the classical high-gain observerHigh-gain observer designs for finite-dimensionalFinite-dimensional nonlinear systemsNonlinear system to classes infinite-dimensional ones, written as triangular systems coupled first-order hyperbolic Partial Differential Equations (PDEs)Partial differential ...

Abstract This paper provides a redesigned version of the Standard High Gain Observer (SHGO) to cope with peaking phenomenon occurring during transient periods as well sensitivity high frequency measurement noise. The observer design is performed for class uniformly observable systems noise free noisy output measurements and resulting referred Non Peaking Filtered (NPFHGO). NPFHGO shares same st...