Design and Implementation of Second order Microwave Differentiator

Systematic Approach to Design a Finite Time Convergent Differentiator in Second Order Sliding Mode Controller

This paper presents a systematic approach to design a Lyapunov based super twisting differentiator. The differentiator will be shown convergent in a finite time whilst the relevant time is accurately estimated.  This differentiator is the main part to establish the sliding surface in higher order sliding mode. The differentiator  is used in the prescribed control structure  to regulate pressure...

Analysis and Design of Fractional Order Digital Differentiator

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.

Time-Varying Gain Second Order Sliding Mode Differentiator

The problem of first order differentiation, when an estimation of an upper bound of the second derivative is available on-line, is studied in this paper. The proposed method include two approaches: Second Order Sliding Mode and High-Gain algorithms, and consider the differentiator gain as a continuous time varying function. This scheme provides chattering attenuation, increasing at the same tim...

Design of Fractional Order Differentiator Using Feedback System

A new feedback-based methodology for the implementation of a fractional-order differentiator (FD) is described in this paper. The differentiator can be based on a standard definition of the fractional calculus, such as the Riemann-Liouville or Grunwald-Letnikov definitions. Some methods by which the FD functions can be approximated using a DSP-based implementation (either FIR or IIR) are descri...