This work proposes a detectability condition for linear time-varying systems based on the exponential dichotomy spectrum. The guarantees existence of an observer, whose gain is determined only by unstable modes system. allows observer design with low computational complexity compared to classical estimation approaches. An extension this class nonlinear proposed, and local convergence correspond...

In this paper, we present a sampled-data nonlinear extended state observer (NLESO) design method for a class of nonlinear systems with uncertainties and discrete time output measurement. To accommodate the inter-sample dynamics, an inter-sample output predictor is employed in the structure of the NLESO to estimate the system output in the sampling intervals, where the prediction is used in the ...

This paper deals with the problem of nonlinear states estimation in batch chemical processes. It presents a reduced-order nonlinear observer approach to perform the estimation. The proposed method allows adjustment of the speed of convergence towards zero of the estimation error. The stability properties of the model-based observer are analytically treated in order to show the conditions under ...

This paper presents a conception of an exponential observer for a class of linear distributed-parameter systems (DPSs), in which the dynamics are partially unknown. The given distributed-parameter observer ensures asymptotic state estimator with exponentially decay error, based on the theory of -semigroups in a Hilbert space. The theoretical observer developed is applied to a chemical tubular r...

In this paper, we propose a global exponential adaptive observer for a class of uniformly observable nonlinear systems. This observer, based on techniques of high gain, is applied to jointly estimate missing states (rotor flux components) and unknown constant parameters incorporating in their expressions different electric parameters of an asynchronous motor. Finally, the feasibility of the pro...

We solve the problem of stabilization of a class of linear first-order hyperbolic systems featuring n rightward convecting transport PDEs and one leftward convecting transport PDE. We design a controller, which requires a single control input applied on the leftward convecting PDE’s right boundary, and an observer, which employs a single sensor on the same PDE’s left boundary. We prove exponent...

In this paper we consider the problem of boundary observer design for one-dimensional first order linear and quasi-linear strict hyperbolic systems with n rightward convecting transport PDEs. By means of Lyapunov based techniques, we derive some sufficient conditions for exponential boundary observer design using only the information from the boundary control and the boundary conditions. We con...

Abstract In this work, an exponential observer is performed for an exothermal axial dispersion tubular reactor that involves one nonlinear sequential reaction. More precisely, the given state estimator is performed by using bounded observations and properties of the nonlinear set of partial differential equations. It is shown that the proposed observer admits a global unique solution and ensure...

In this paper, the robust observer-based control for a class of uncertain linear systems is considered. Exponential stabilizability for systems is studied and the convergence rate of system is given. Linear matrix inequality (LMI) approach is used to design the feedback control. The control and observer gains are given from the LMI formulations. A numerical example is given to illustrate our re...

This paper investigates the problem of the nonfragile observer design for discrete-time switched nonlinear systems with time delay. Based on the average dwell-time approach and linear matrix inequality (LMI) techniques, an exponential stability criterion for the discrete-time switched delay system with Lipschitz nonlinearity is derived. Based on several technical lemmas, the discrete-time obser...