On Passivity of Fractional Order Systems

2017/06/23 by Rakhshan, Mohsen, Gupta, Vijay, Goodwine, Bill
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1706.07551

Abstract

We generalize notions of passivity and dissipativity to fractional order systems. Similar to integer order systems, we show that the proposed definitions generate analogous stability and compositionality properties for fractional order systems as well. We also study the problem of passivating a fractional order system through a feedback controller. Numerical examples are presented to illustrate the concepts.

Related

• Fractional-Order State Space Models
• The modelling and analysis of fractional-order control systems in discrete domain
• Numerical Models for the Simulation of the Fractional-Order Control Systems
• Stability Analysis of Fractional Order Systems Described in the Lur'e Structure
• The modelling and analysis of fractional-order control systems in frequency domain