vix.ing · top · new · best · stats · spec

Basic Properties and Stability of Fractional-Order Reset Control Systems

2013/03/21 by S. Hassan HosseinNia, Inés Tejado, HosseinNia, S. Hassan +3 · 1 citation
Engineering · Mathematics · #Adaptation and Self-Organizing Systems (nlin.AO) #Advanced Control Systems Design #FOS: Electrical engineering #FOS: Physical sciences #Numerical methods for differential equations #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1303.5301

openalex publication_date 2013/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Reset control is introduced to overcome limitations of linear control. A reset controller includes a linear controller which resets some of states to zero when their input is zero or certain non-zero values. This paper studies the application of the fractional-order Clegg integrator (FCI) and compares its performance with both the commonly used first order reset element (FORE) and traditional Clegg integrator (CI). Moreover, stability of reset control systems is generalized for the fractional-order case. Two examples are given to illustrate the application of the stability theorem.

Cited by

Related