In this paper, we develop an adaptive finite element method for the nonlinear steady-state Poisson-Nernst-Planck equations, where spatial adaptivity geometrical singularities and boundary layer effects are mainly considered. As a key contribution, equations studied systematically rigorous analysis residual-based posteriori error estimate of system is presented. With regularity linearized derive...

Nonparametric estimation methods for the multivariable frequency response function are experimentally evaluated using closed-loop data from an industrial robot. Three classical estimators (H1, joint input-output, arithmetic mean) and two estimators based on nonlinear averaging techniques (harmonic mean, geometric/logarithmic mean) are considered. The estimators based on nonlinear averaging give...

In this paper, the non-fragile state estimation problem is investigated for a class of continuous neural networks with time-delays and nonlinear perturbations. The estimator to be designed is of a simple linear structure without requiring the exact information of the activation functions or the time-delays, and is therefore easy to be implemented. Furthermore, the designed estimator gains are a...

This paper considers output estimator based fault detection problem for a class of nonlinear systems with unknown system parameters. Because observer design for such systems is extremely difficult if not impossible, output estimator design is used for the purpose of fault detection. In order to achieve output estimator design using adaptive approaches, a multi-input multi-output (MIMO) nonlinea...

The problem of robust state estimation for a class uncertain nonlinear systems with Markov jump is investigated. system under consideration represented by the Takagi–Sugeno (T–S) fuzzy model because it difficult to describe. Firstly, different from traditional T–S modeling method, deviation linear approaching considered, which as error in modeling. Secondly, through method based on sensitivity ...

This paper elaborates on theory and experiment of the formation flight control for the future space-borne tethered interferometers. The nonlinear equations of multi-vehicle tethered spacecraft system are derived by Lagrange equations and decoupling method. The preliminary analysis predicts unstable dynamics depending on the direction of the tether motor. The controllability analysis indicates t...

In this article, one linear and one nonlinear robust control strategies are proposed for uncertain nonlinear continuous-time systems with disturbances and state delays. The approaches are based on the uncertainty and disturbance estimator (UDE) introduced in 2004. In the case of a linear controller, the terms containing the nonlinear functions and time delays are treated as additional disturban...

Composition is a powerful and simple approach for obtaining numerical integration methods of high accuracy order while preserving the geometric properties basic integrator. Adaptive step size control allows one to significantly increase performance methods. However, there lack efficient algorithms composition solvers due some known difficulties in constructing low-cost embedded local error esti...

In this paper principles of extended Kalman filtering theory is developed and applied to simulated on-line electric power systems state estimation in order to trace the operating condition changes through the redundant and noisy measurements. Test results on IEEE 14 - bus test system are included. Three case systems are tried; through the comparing of their results, it is concluded that the pro...

A nonlinear regression model with correlated, normally distributed stationary errors is investigated. Limit properties of an approximate estimator of an unknown covariance function of stationary errors are studied and suucient conditions under which this estimator is consistent are shown.