The state estimation problem for nonlinear systems with stochastic uncertainties can be formulated in the Bayesian framework, where objective is to replace completely by its probability density function. Without restriction selected system classes and disturbance properties, estimator particularly interesting highly non-Gaussian noise. main limitations of filters are significant computational c...

This paper deals with observer design for non-linear single output systems. When a classical observer error linearization by output injection is not possible due to restrictive existence conditions, a simple approximation scheme is proposed. The method can be applied to a wider class of non-linear systems. Our approach is constructive and can be implemented using computer algebra packages. The ...

In this work, a Nonlinear Higher Order Extended State Observer (NHOESO) is presented to replace the Linear (LESO) used in Conventional Active Disturbance Rejection Control (C-ADRC) solutions. NHOESO, standard LESO completed with two-term smooth nonlinear function saturation-like characteristics. The proposed novel NHOESO enables precise observation of generalized disturbances higher-order deriv...

The paper presents neural dynamic optimization (NDO) as a method of optimal feedback control for nonlinear multi-input-multi-output (MIMO) systems. The main feature of NDO is that it enables neural networks to approximate the optimal feedback solution whose existence dynamic programming (DP) justifies, thereby reducing the complexities of computation and storage problems of the classical method...

For pt.II. see ibid., p. 490-501. The paper presents neural dynamic optimization (NDO) as a method of optimal feedback control for nonlinear multi-input-multi-output (MIMO) systems. The main feature of NDO is that it enables neural networks to approximate the optimal feedback solution whose existence dynamic programming (DP) justifies, thereby reducing the complexities of computation and storag...

This paper advocates disturbance observer based control (DOBC) for uncertain nonlinear systems. Within this framework, a nonlinear controller is designed based on the nominal model in the absence of disturbance and uncertainty where the main design specifications are to stabilize the system and achieve good tracking performance. Then a nonlinear disturbance observer is designed to not only esti...

Disturbance attenuation for a class of nonlinear systems under unknown disturbances is considered in this paper. Based on the Disturbance-Observer-Based Control (DOBC) concept, two design schemes are proposed for external disturbances generated by exogenous systems where the disturbances could be unbounded. One design scheme is obtained by augmenting the estimation of the disturbance into a sta...

In this paper, we consider the output regulation problem for a one dimensional wave equation with harmonic disturbance anti-collocatedwith control. We first design an adaptive observer by themeasured output to estimate unknown parameters of the disturbance and recover the system state. Then by using the observer system and estimator of unknown harmonic disturbance, we construct an auxiliary sys...