Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach

In the last two decades fractional differential equations have been used more frequently in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electro chemistry and many others. It opens a new and more realistic way to capture memory dependent phenomena and irregularities inside the systems by using more sophisticated mathematical analysis.

This monograph is based on the authors’ work on stabilization and control design for continuous and discrete fractional order systems. The initial two chapters and some parts of the third chapter are written in tutorial fashion, presenting all the basic concepts of fractional order system and a brief overview of sliding mode control of fractional order systems. The other parts contain deal with robust finite time stability of fractional order systems, integral sliding mode control of fractional order systems, co-operative control of multi-agent systems modeled as fractional differential equation, robust stabilization of discrete fractional order systems, high performance control using soft variable structure control and contraction analysis by integer and fractional order infinitesimal variations.

• Contraction Analysis
• Discrete Fractional Order
• Disturbance Observer
• Finite Time Stability
• Fractional Order Systems
• Lyapunov Stability
• Multiagent Systems
• Sliding Mode Control
• Soft Variable Structure Control

• Interdisciplinary Programme in Systems and Control Engineering, Indian Institute of Technology Bombay, Mumbai, India

  Bijnan Bandyopadhyay, Shyam Kamal

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