In this article, we propose a new observer design for systems whose output is sampled in an aperiodic and asynchronous way which continuous-time homogeneous of negative degree available. The proposed method consists adapting the existing order to cope with fact that only measurements are available instead continuous ones. obtained error shown be globally uniformly ultimately bounded any upper b...

This work provides a framework for data-driven control of discrete-time systems with unknown dynamics and outputs controllable by the inputs. leads to stable robust real-time such that feasible output trajectory can be tracked. is made possible Hölder-continuous learning schemes act as uncertainty observers. These observers learn from prior input-output history ensure finite-time convergence es...

This letter addresses the synthesis of safety-critical controllers using estimate feedback. We propose an observer-controller interconnection to ensure that nonlinear system remains safe despite bounded disturbances on dynamics and measurements correspond partial state information. The co-design observers is critical, since even in undisturbed cases, designed independently may not render safe. ...

The paper deals with the problem of nonlinear fuzzy observers for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models with local nonlinear terms. On the basis of the Lyapunov stability criterion and incremental quadratic inequalities, the sufficient LMI design conditions are outlined. Numerical example is given to illustrate the procedure and to validate the perfor...

In this paper, we address the problem of designing nonlinear observers for dynamical discretetime systems with both constant and time-varying delay nonlinearities. The nonlinear system is assumed to verify the usual Lipschitz condition that permits us to transform the nonlinear system into a linear time-delay system with structured uncertainties. The existence of the observer-gain is ensured by...

Two families of observers for discrete-time nonlinear systems are presented in this paper, whose design is based on the Taylor approximation of the inverse of the observation map. Semiglobal convergence results are provided under the assumption that the system observation map is a globally analytic diffeomorphism. The performances of the observers in the two families are compared both from theo...

It is well known that high gain observers exist for single output nonlinear systems that are uniformly observable and globally Lipschitzian. Under the same conditions, we show that these systems admit semi-global and finite-time converging observers. This is achieved with a derivation of a new sufficient condition for local finite-time stability, in conjunction with applications of geometric ho...

In this paper two nonlinear observers for a chaotic system are compared. Moreover, the left invertible problem and the observability singularity are discussed. Thus, after a presentation of both observers, a comparison of the two proposed methods and a discussion are done on the basis of simulations results. The last part highlights the fact that the finite time observer is more sensible to the...

Global finite-time observers are designed for a class of nonlinear systems with bounded varying rational powers imposed on the increments of the nonlinearities whose solutions exist and are unique for all positive time. The global finite-time observers designed in this paper are with two homogeneous terms. The global finite-time convergence of the observation error system is achieved by combini...