An observer watches one of a set of Poisson streams. He may switch from one stream to another instantaneously. If an arrival occurs in a stream while the observer is watching another stream, he does not see the arrival. The experiment terminates when the observer sees an arrival. We derive a formula which states essentially that the expected total time that the observer watches a stream is equa...

There is a basic assumption in using state feedback control, i.e., we assume that all the state variables are available for direct measurements. However, in many situations the complete state is not available; so it is necessary to obtain an estimate of the current state of the given system from measurements of its output. For this purpose, Luenberger (1964, 1966) showed how to construct an obs...

From previous studies of (Besançon, 1999; Besançon, 2000) on adaptive observer design for nonlinear systems, and the contribution of (Zhang, 2001) on exponential adaptive observers for linear time-varying systems, the purpose here is to propose some new observer design for a class of nonlinear systems. This observer can in turn be made adaptive, and in particular can help in detecting changes i...

Abstract: In this paper, a time varying disturbance observer subject to sampled data’s measurements is proposed for a class of non-linear systems. The proposed observer combines the advantage of a high gain structure in terms of convergence speed and an output predictor which remains continuous between the sampling times. The exponential convergence of the proposed observer is proved using a Ly...

This paper investigates the problem of observer design for discrete-time impulsive switched nonlinear systems with time-varying delays. Firstly, based on the average dwell time approach and the Lyapunov–Krasovskii functional technique, a delay-dependent exponential stability criterion for the discrete-time impulsive switched nonlinear systems with time-varying delays is derived in terms of a se...

This paper develops sufficient conditions for the existence of global exponential observers for two classes of nonlinear systems: (i) the class of systems with a globally asymptotically stable compact set, and (ii) the class of systems that evolve on an open set. In the first class, the derived continuous-time observer also leads to the construction of a robust global sampled-data exponential o...

This paper presents a design procedure for a reduced-order observer-based controller dedicated to n-joint robot manipulators. It is assumed that only the joint angular positions are measured. The joint angular velocities are estimated via an exponential reduced-order observer. Two types of control laws based on this observer are studied: point-to-point control with gravity compensation and traj...

This paper investigates the exponential observer problem for the Lotka-Volterra (L-V) systems. We have applied Sundarapandian’s theorem (2002) for nonlinear observer design to solve the problem of observer design problem for the L-V systems. The results obtained in this paper are applicable to solve the problem of nonlinear observer design problem for the L-V models of population ecology in the...