A Robust Exact Differentiator Toolbox for Matlab®/Simulink®

Robust exact uniformly convergent arbitrary order differentiator

An arbitrary order differentiator that, in the absence of noise, converges to the true derivatives of the signal after a finite time independent of the initial differentiator error is presented. The only assumption on a signal to be differentiated (n−1)-times is that its n-th derivative is uniformly bounded by a known constant. The proposed differentiator switches from a newly designed uniform ...

A Lyapunov Function for the Robust Second Order Differentiator

In this paper we obtain a homogeneous, continuous, quadratic and strict Lyapunov function for Levant’s Second Order Differentiator. Since its derivative is a non quadratic, discontinuous, homogeneous form its negative definiteness is determined using some new inequalities, providing coarser bounds than Young’s inequalities.

Robust observation of tractor-trailer vertical forces using inverse model and exact differentiator

In this paper, we are interested in developing a robust tire-force estimator for heavy duty vehicles. We use a combined model of the articulated vehicle: a yaw plane model for the chassis motion and a vertical plane model for the axles. In the proposed method, we make use of the on-board available sensors to which are added lowcost sensors. In order to optimize the sensors configuration, a robu...

Electromembrane Processes, a Toolbox for Advanced Separations

Robust Identification Toolbox

In this paper we present a brief tutorial and a Toolbox for the area of Robust Identification, i.e. deterministic, worst-case identification of dynamic systems. The uncertain models obtained fit exactly the framework of Robust control, speciallyH∞ procedures, if the control of the system is the objective. The use of several of the identification algorithms are illustrated by means of a simulate...