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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:Liwei Deng,Shenmin Song.Stabilization of Fractional Order Hyperchaotic Systems with Uncertainties via Output Feedback Sliding Mode Control[J].Journal of Harbin Institute Of Technology(New Series),2015,22(1):23-29.DOI:10.11916/j.issn.1005-9113.2015.01.004.
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Stabilization of Fractional Order Hyperchaotic Systems with Uncertainties via Output Feedback Sliding Mode Control
Author NameAffiliation
Liwei Deng Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China
School of Automation, Harbin University of Science and Technology, Harbin 150080, China 
Shenmin Song Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China 
Abstract:
An output feedback sliding mode controller is designed for the stabilization of fractional order hyperchaotic systems including uncertainties in the state matrix and the output matrix. On the basis of auxiliary system, a sliding mode control law with output feedback characteristics is researched by studying the structure decomposition of fractional order hyperchaotic systems. Based on fractional order Lyapunov stability theorem, a switching surface is designed by using linear matrix inequality (LMI) method. Using a simple adaptation, an improved sliding mode controller is given to guarantee the existence of the sliding mode. Moreover, numerical simulations are performed to confirm the effectiveness and feasibility of the stabilization control scheme.
Key words:  output feedback sliding mode  hyperchaotic  fractional order system  linear matrix inequality  fractional order Lyapunov stability theorem
DOI：10.11916/j.issn.1005-9113.2015.01.004
Clc Number:O415.5
Fund:

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