In this paper a novel method is proposed for construction of an exponential observer for nonlinear system. The presented method is based on direct solution of dynamic error without any linearzing of nonlinear terms. Necessary and sufficient conditions for construction of direct observer are presented. Stability of the observer is checked using Lyapunov theorem. Also the ability of this observer...

In this paper, the problem of state observation with exponential error decay for nonlinear systems affine in the input is considered and an observer is proposed. For such an observer, the drift-observability property of the system (i.e., observability for zero input), together with an assumption on the input amplitude or on the observation relative degree, are sufficient conditions for exponent...

In this paper, the problem of state observation for a continuous-time linear time-invariant (LTI) switched system is addressed. A finite-time observer (FTO) is employed for each subsystem and a switching observer is constructed accordingly. The finite convergence time property of the proposed switching observer is discussed and the exponential stability of the observation error is investigated....

This paper presents a method for designing state observers with exponential error decay for nonlinear systems whose output measurements are affected by known time-varying delays. A modular approach is followed, where subobservers are connected in cascade to achieve a desired exponential convergence rate (chain observer). When the delay is small, a single-step observer is sufficient to carry out...

This paper presents new results concerning the observer design for wide classes of nonlinear systems with both sampled and delayed measurements. By using a small gain approach we provide sufficient conditions, which involve both the delay and the sampling period, ensuring exponential convergence of the observer system error. The proposed observer is robust with respect to measurement errors and...

This paper investigates the nonlinear observer design for mechanical systems, viz. nonlinear pendulum systems, undamped oscillators and Lienard systems. Explicitly, Sundarapandian’s Theorem (2002) for observer design for nonlinear systems is used to solve the problem of local exponential observer design for nonlinear pendulum systems, undamped oscillators and Lienard systems. Numerical examples...

This paper investigates the problem of asymptotic state observation for analytic nonlinear discrete-time systems. A new techniquefor the observer construction. based on the Taylor polynomial approximation of the inverse of the observability map, is presented and discussed. The degree chosen for the approximation is the most important design parameter of the observer, in that it can be chosen su...

This paper investigates the problem of asymptotic state observation for analytic nonlinear discrete-time systems. A new technique for the observer construction, based on the Taylor polynomial approximation of the inverse of the observability map, is presented and discussed. The degree chosen for the approximation is the most important design parameter of the observer, in that it can be chosen s...

This paper presents a method for designing state observers with exponential error decay for nonlinear systems whose output measurements are affected by known time-varying delays. A modular approach is followed, where sub-observers are connected in cascade to achieve a desired exponential convergence rate (chain observer). The observer employs delay-dependent time-varying gains to achieve the de...