A stability criterion for fractional-order systems with α-order in frequency domain: The 1 < α < 2 case | IEEE Conference Publication | IEEE Xplore

A stability criterion for fractional-order systems with α-order in frequency domain: The 1 < α < 2 case


Abstract:

This paper proposes a stability criterion for linear fractional-order systems with the commensurate order α satisfying 1 <; α <; 2. The angle increment of the characteris...Show More

Abstract:

This paper proposes a stability criterion for linear fractional-order systems with the commensurate order α satisfying 1 <; α <; 2. The angle increment of the characteristic function in a linear fractional-order system is investigated, and the stability condition with respect to the angle increment is presented in the frequency domain. By this condition, we present a stability criterion to verify the stability of a linear fractional-order system according to the arrangement of the positive real solutions of two equations with respect to the coefficients of the characteristic function and the highest order. Finally, a numerical example is given to demonstrate the effectiveness of the proposed stability criterion.
Date of Conference: 23-26 June 2013
Date Added to IEEE Xplore: 23 September 2013
ISBN Information:
Conference Location: Istanbul, Turkey

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