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Research Papers

Robust Fuzzy Tracking Control Design for a Class of Nonlinear Stochastic Markovian Jump Systems

[+] 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

School of Automation, Beijing University of Aeronautics and Astronautics, Beijing, 100191, P.R. China

1

Corresponding author.

J. Dyn. Sys., Meas., Control 132(5), 051005 (Aug 16, 2010) (9 pages) doi:10.1115/1.4001850 History: Received August 01, 2009; Revised February 28, 2010; Published August 16, 2010; Online August 16, 2010

This paper deals with the problem of robust fuzzy tracking control design for a class of nonlinear stochastic Itô-type systems with Markovian jumps. Considering the fuzzy approximation errors as norm-bounded uncertainties, we derive two sufficient conditions for the nonlinear stochastic robust fuzzy tracking control in terms of coupled matrix inequalities, which ensure the globally asymptotical stability in probability and L2 property for the augmented system, respectively. Then, a systematic algorithm is developed to construct the robust fuzzy tracking controller by reformulating the coupled matrix inequalities into two intertwined linear matrix inequalities (LMIs). Finally, a simulation example is presented to illustrate the design procedure.

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Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

Grahic Jump Location
Figure 1

States of Markov process s(t)

Grahic Jump Location
Figure 2

The control input u(t)

Grahic Jump Location
Figure 3

Random error of angle

Grahic Jump Location
Figure 4

Random error of palstance

Grahic Jump Location
Figure 5

Individual paths of angle error

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Figure 6

Individual paths of palstance error

Grahic Jump Location
Figure 7

Mean value of angle errors

Grahic Jump Location
Figure 8

Mean value of palstance errors

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