The goal of this paper is to emphasize both the particularities of models needed for model-based fault detection and isolation (FDI) and the differences with respect to the models used in control. Of special interest is the question of complexity. This depends basically on the given situation...

The Proportional, Integral and Derivative (PID) controllers are widely used in industrial applications. Their popularity comes from their robust performance and also from their functional simplicity.

Heat input reduction by optimal trajectory control is considered for the range cruise of a hypersonic flight system propelled by a turbo/ram jet engines combination. A mathematical model is developed for describing the unsteady heat transfer through the thermal protection system. This model is...

The article deals with computer algebra emulation and generalization of the main ideas that were the basis of Boole’s logic, as they were produced by him, and not as they were frequently misinterpreted in the history of Logic. The article begins with a historical account of the genesis of...

The paper deals with the robustness of fuzzy control. The complementary sensitivity function which in the case of the cancellation control corresponds to the desired closed-loop transfer function must be shaped in order to fulfil the basic equation of robust stability. With classical robust...

The paper introduces an approach for the derivation of discrete time approximations for solutions of stochastic differential equations (SDEs) with time delay. The suggested approximations converge in a strong sense. Furthermore, explicit solutions for linear stochastic delay equations are given.

We present a new decoupling technique for solving the linear systems arising from Hermite cubic collocation solutions to boundary value problems with both Dirichlet and Neumann boundary conditions. While the traditional approach yields a linear system of order 2N×2N with bandwidth 2, our...

Incremental unknowns, earlier designed for the long-term integration of dissipative evolutionary equations, are introduced here for the incompressible Navier–Stokes equations in primitive variables when multilevel finite-difference discretizations on a staggered grid are used for the spatial...

This paper is concerned with the trajectory definition in robot tasks. Although very often ignored, the specification of robot motion is not the first step in the definition of a robot task. The task definition starts with the description of the final outcome, i.e. with the specification of the...

Explicit expressions are obtained for the weights of the Gauss–Radau quadrature formula for integration over the interval [−1,1] relative to the Jacobi weight function (1−t)α(1+t)β, α−1, β−1. The nodes are known to be the eigenvalues of a symmetric tridiagonal matrix, which is also...