Abstract:
This paper presents two different stabilization methods based on the fractional-calculus theory. The first method is proposed via using the fractional differentiator, and...Show MoreMetadata
Abstract:
This paper presents two different stabilization methods based on the fractional-calculus theory. The first method is proposed via using the fractional differentiator, and the other is constructed based on using the fractional integrator. It has been shown that the proposed techniques can be used to suppress chaotic oscillations in 3-D chaotic systems. To show the practical capability of the methods, some experimental results on the control of chaos in chaotic circuits are presented.
Published in: IEEE Transactions on Industrial Electronics ( Volume: 55, Issue: 11, November 2008)
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- IEEE Keywords
- Index Terms
- Fractional Differential Equations ,
- Chaotic System ,
- Applications Of Fractional Calculus ,
- Stable Method ,
- Fractional Integral ,
- Control Parameters ,
- Fixed Point ,
- Control Input ,
- Resistance Values ,
- Transformation Matrix ,
- Number Range ,
- Closed-loop System ,
- Asymptotically Stable ,
- Point System ,
- Saddle Point ,
- Global Stability ,
- Fractional Derivative ,
- Real Axis ,
- Characteristic Polynomial ,
- Root Locus ,
- Fractional-order Systems ,
- Fractional-order Controller ,
- Chaotic Attractor ,
- Rational Numbers ,
- Topological Transition ,
- Unique Positive Solution ,
- Circuit Model ,
- Linear Model ,
- Control Techniques
- Author Keywords
- Author Free Keywords
Contents Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Fractional Differential Equations ,
- Chaotic System ,
- Applications Of Fractional Calculus ,
- Stable Method ,
- Fractional Integral ,
- Control Parameters ,
- Fixed Point ,
- Control Input ,
- Resistance Values ,
- Transformation Matrix ,
- Number Range ,
- Closed-loop System ,
- Asymptotically Stable ,
- Point System ,
- Saddle Point ,
- Global Stability ,
- Fractional Derivative ,
- Real Axis ,
- Characteristic Polynomial ,
- Root Locus ,
- Fractional-order Systems ,
- Fractional-order Controller ,
- Chaotic Attractor ,
- Rational Numbers ,
- Topological Transition ,
- Unique Positive Solution ,
- Circuit Model ,
- Linear Model ,
- Control Techniques
- Author Keywords
- Author Free Keywords
