The focus of this paper is to develop reliable observer and filtering techniques for finite-dimensional battery models that adequately describe the charging and discharging behaviors. For this purpose, an experimentally validated battery model taken from the literature is extended by a mathematical description that represents parameter variations caused by aging. The corresponding disturbance m...

This paper is concerned with the observer design problem for a class of discrete-time uncertain nonlinear systems with time-varying delay. The nonlinearities are assumed to satisfy global Lipschitz conditions which appear in both the state and measurement equations. The uncertainties are assumed to be time-varying but norm-bounded. Two Luenberger-like observers are proposed. One is delay observ...

Fault detection and isolation (FDI) problem for nonlinear dynamic systems has received more and more attentions recently. The significant results mainly belong to three kinds of methods: The method based on nonlinear geometrical theory (1; 2; 3), based on parity space theory (4; 5) and based on adaptive observers (6; 7). The application of the first one is limited because there is not always su...

The generalized design principle of TS fuzzy observers for one class of continuous-time nonlinear MIMO systems is presented in this paper. The problem addressed can be indicated as a descriptor system approach to TS fuzzy observers design, implying the asymptotic convergence of the state observer error. A new structure of linear matrix inequalities is outlined to possess the observer asymptotic...

This paper deals with necessary and sufficient conditions to guarantee the existence of a transformation of a class of single output nonlinear uncertain dynamical systems into a nonlinear uncertain normal forms (NUNF). This last form, allows us to design the so-called practical interval observer to estimate the state with a bounded estimation error.

This paper presents a technique for designing rational nonlinear observers for rational nonlinear systems with guaranteed cost performance. The approach is based on a Lyapunov function that is quadratic in the estimation error and rational in the system states. The design conditions are formulated as Linear Matrix Inequalities (LMIs). If the conditions are satisfied, then the estimation error i...

This paper presents a new technique for fault diagnosis and estimation of unknown inputs in a class of nonlinear systems. The novelty of the approach is governed by the use of two interconnected sliding mode observers. The first of the two observers is used for fault diagnosis and the second is used for the reconstruction of unknown inputs. The two observers exchange their respective reconstruc...

For the purpose to estimate the state of nonlinear continuous-time systems, we focus on the increasing-gain observer regarded as generalization of the well-known high-gain observer. As compared with the previous results on increasing-gain observers, the assumptions under which the global asymptotic stability of the estimation error is proved are relaxed. The stability analysis is drawn by using...

Perspective dynamical systems arise in machine vision problems, in which only perspective observation is available, and the essential problem is to estimate the state and /or unknown parameters for a moving rigid body based on the observed information. This paper proposes and studies a Luenberger-type observer for perspective time-varying linear systems. In particular, assuming a given perspect...