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Research Papers

Mode-Independent Stabilization of Markovian Jump Systems With Time-Varying Delays: A Sliding Mode Approach

[+] Author and Article Information
Ran Huang

School of Automation,  Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. Chinahuangran_ asee@yahoo.cn

Yan Lin1

School of Automation,  Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. Chinalinyanee2@yahoo.com.cn

Zhongwei Lin

State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources,  North China Electric Power University, Beijing 102206, P. R. China

1

Corresponding author.

J. Dyn. Sys., Meas., Control 134(5), 051009 (Jul 27, 2012) (10 pages) doi:10.1115/1.4006373 History: Received September 25, 2010; Revised February 27, 2012; Published July 26, 2012; Online July 27, 2012

This paper investigates mode-independent stabilization of Markovian jump systems with time-varying delays via a sliding mode approach. A sufficient condition is proposed to guarantee the existence of a mode-independent sliding surface. Because the real plant regime mode is not directly accessible and instantly available, a controller is reconfigured online by calculating a detection function such that the closed-loop system converges to the sliding surface in finite time. A comparison example is presented to illustrate merits of the developed theory.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

(a) u(t); (b) s(t); and (c) x1 (t) and x2 (t)

Grahic Jump Location
Figure 2

(a) u(t); (b) s(t); and (c) x1 (t) and x2 (t)

Grahic Jump Location
Figure 3

(a) u(t); (b) s(t); and (c) x1 (t) and x2 (t)

Grahic Jump Location
Figure 4

(a) u(t); (b) s(t); and (c) x1 (t) and x2 (t)

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