Stabilization of Fractional Order Hyperchaotic Systems with Uncertainties via Output Feedback Sliding Mode Control
Liwei Deng1,2 ,Shenmin Song1
(1.Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China;2.School of Automation, Harbin University of Science and Technology, Harbin 150080, 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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Stabilization of Fractional Order Hyperchaotic Systems with Uncertainties via Output Feedback Slidin
本站小编 哈尔滨工业大学/2019-10-23
相关话题/Stabilization Fractional Order Hyperchaotic Systems
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