Sequential Baysian filtering arises in many practical problems. The complexity of this problem depends very much on the underlying mathematical model. When a linear Gaussian model is assumed, the well known Kalman filter provides the desired optimal solution. However, in many situations these assumptions do not hold, even approximately. We consider here a somewhat simplified version of the gene...

A probabilistic model of human control behaviour is described. It assumes that human behaviour can be represented by switching among a number of relatively simple behaviours. The model structure is closely related to the Hidden Markov Models (HMMs) commonly used for speech recognition. An HMM with context-dependent transition functions switching between linear control laws is identified from ex...

The variety of perception models included in JPEG2000 are the key for its rate-distortion performance. However, the most powerful perceptual model (masking using non-linear divisive normalization) had to be simplified to make it invertible. Recently, a robust and fast algorithm to invert the exact expression of divisive normalization has been derived and successfully used in the achromatic DCT ...

In this article a new simplified LPV (Linear Parameter Varying) theoretical model is presented which corresponds to the acoustic response of an industrial plant. The parameters of this model vary with the characteristics of the closed room. The aim of the model is to locate mobile robots in such environments. A general methodology is proposed in order to simplify the robots self-localization pr...

In this paper, a simplified spring-dashpot model is proposed to represent the complicated nonlinear response of some viscoelastic materials. Recently, the viscoelastic modeling has been adopted by many researchers to characterize some parts of the human body in bioengineering and to simulate many material properties in mechanical engineering, electronic engineering and construction engineering....

In this paper, we compare three different control methodologies for helicopter autopilot design: linear robust multi-variable control, fuzzy logic control with evolutionary tuning, and nonlinear tracking control. The control design is based on nonlinear dynamic equations with a simplified thrust-torque generation model valid for hovering and low velocity flight. We verify the controller perform...

This paper presents how to use feedback controller with helicopter dynamics state space model. A simplified analysis is presented for controller design using LQR of small scale helicopters for axial & forward flights. Our approach is simple and gives the basic understanding about how to develop controller for solving the stability of linear helicopter flight dynamics.

A simplified one-dimensional (1D) magnetohydrodynamics (MHD) is solved using a lattice Boltzmann and a quantum lattice gas model. It is shown that the magnetic field decreases the strength of the velocity shock fronts, with marked spikes in the magnetic field strength that gradually broaden in time. There is very good agreement between the lattice Boltzmann model—a representation of non-linear ...

In this paper we propose a model of a nonautonomous dynamical system whose operations show turbulent behavior. The appearance of the trajectory is similar to that of a simplified tornado. The electronic circuit implementation of this model contains simply two linear capacitors, a voltage-controlled switch (VCS), a linear inductor, two resistors, and a nonlinear negative resistor. Computer simul...

Data-driven lack-of-fit tests are derived for parametric regression models using fit comparison statistics that are based on nonparametric linear smoothers. The tests are applicable to settings where the usual bandwidth/smoothing parameter asymptotics apply to the null model, which includes testing for nonlinear models and some linear models. Large sample distribution theory is established for ...