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Research Papers

Maximal Bound for Output Feedback Gain in Stabilization of Fixed Points of Fractional-Order Chaotic Systems

[+] Author and Article Information
Mohammad Saleh Tavazoei

Department of Electrical Engineering, Sharif University of Technology, 145888-9694, Tehran, Irantavazoei@sharif.edu

A square matrix M is called a Hurwitz matrix or stable matrix if all of its eigenvalues have negative real parts, i.e., eig(M)C1.

J. Comput. Nonlinear Dynam 6(3), 031012 (Feb 02, 2011) (5 pages) doi:10.1115/1.4003137 History: Received September 18, 2010; Revised November 16, 2010; Published February 02, 2011; Online February 02, 2011

This paper deals with the problem of stabilizing the unstable fixed points of a class of fractional-order chaotic systems via using static output feedback. At first, a static output feedback controller designed to stabilize a fixed point of a fractional-order chaotic system is considered. Then, the maximal allowable perturbation bound around the nominal value of the output feedback gain of the designed controller, such that the stability of the intended fixed point in the closed-loop system is guaranteed, is analytically determined. Also, some numerical examples are presented to confirm the validity of the analytical results of the paper.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Numerical simulation results for system 19 when u=0

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Figure 2

Numerical simulation results for system 19 when u=−33y and y=x1+x2+x3

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Figure 3

Numerical simulation results for system 19 when u=−30.1y and y=x1+x2+x3

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Figure 4

Numerical simulation results for system 19 when u=−29.9y and y=x1+x2+x3

Grahic Jump Location
Figure 5

Numerical simulation results for system 19 when u=−2.5y and y=x1+x2+x3

Grahic Jump Location
Figure 6

Numerical simulation results for system 19 when u=−2.3y and y=x1+x2+x3

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