In present study, a mathematical model of the vehicle–floating slab track (FST) interaction is established to investigate the coupled behaviour of vehicle–track system. The FST is modelled as the double Euler -Bernoulli beam including the rail and slab. The railway vehicle is simplified as a multi-rigid-body model. The wheel–rail interface is treated using a nonlinear Hertzian contact model, co...

Many interesting dynamic systems in science and engineering evolve on a nonlinear, or curved, space that cannot be globally identified with a linear vector space. Such nonlinear spaces are referred to as manifolds, and they appear in various mechanical systems such as a simple pendulum, rotational attitude dynamics of a rigid body, or complex multibody systems. However, the geometric structures...

In this note we study the strong dynamic input-output decoupling problem for nonlinear systems. Using an algebraic theory for nonlinear control systems, we obtain for a dynamic input-output decouplable nonlinear system a compensator of minimal dimension that solves the decoupling problem. AMS Subject Classifications: 93C10, 93B50, 93C35.

Abstract: The problem of virtual sensors design in linear and nonlinear systems is studied. problems solved three steps: at the first step, model invariant with respect to disturbance designed; second a possibility take into account term estimate given variable checked; finally, stability observer achieved. relations allowing sensor minimal dimension estimating prescribed component state vector...