A Stability Analysis on Fractional Order Linear System with Nonlinear Saturated Disturbance

作者：Shahri Esmat Sadat Alaviyan; Balochian Saeed^*

来源：National Academy Science Letters-India, 2015, 38(5): 409-413.

DOI：10.1007/s40009-015-0377-1

• Fractional order systems
• Stability fractional linear systems
• State feedback
• Saturation
• Disturbance

In this paper fractional linear systems with nonlinear saturated disturbance are considered and a novel method is proposed for analyzing asymptotic stability of the given system. If the pure linear system is unstable, state feedback is used to achieve stability condition. Furthermore, when disturbance exists that is Lipschitz in state, we will obtain stability condition for the fractional-order (FO) linear system with nonlinear saturated disturbance. Since stability region plays an important role in system analysis and control, the largest stability region is found using proposed optimization problem. This analysis can be extended to FO linear systems with any nonlinear elements that are Lipschitz in stats. Finally an example of mathematical model is provided to illustrate application of analysis and the proposed optimization method.

• 出版日期2015-10