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 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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e-mail: huangran_asee@yahoo.cn
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September 2010
Research Papers
Robust Fuzzy Tracking Control Design for a Class of Nonlinear Stochastic Markovian Jump Systems
Ran Huang,
Ran Huang
School of Automation,
e-mail: huangran_asee@yahoo.cn
Beijing University of Aeronautics and Astronautics
, Beijing, 100191, P.R. China
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Yan Lin,
Yan Lin
School of Automation,
e-mail: linyanee2@yahoo.com.cn
Beijing University of Aeronautics and Astronautics
, Beijing, 100191, P.R. China
Search for other works by this author on:
Zhongwei Lin
Zhongwei Lin
School of Automation,
Beijing University of Aeronautics and Astronautics
, Beijing, 100191, P.R. China
Search for other works by this author on:
Ran Huang
School of Automation,
Beijing University of Aeronautics and Astronautics
, Beijing, 100191, P.R. Chinae-mail: huangran_asee@yahoo.cn
Yan Lin
School of Automation,
Beijing University of Aeronautics and Astronautics
, Beijing, 100191, P.R. Chinae-mail: linyanee2@yahoo.com.cn
Zhongwei Lin
School of Automation,
Beijing University of Aeronautics and Astronautics
, Beijing, 100191, P.R. ChinaJ. Dyn. Sys., Meas., Control. Sep 2010, 132(5): 051005 (9 pages)
Published Online: August 16, 2010
Article history
Received:
August 1, 2009
Revised:
February 28, 2010
Online:
August 16, 2010
Published:
August 16, 2010
Citation
Huang, R., Lin, Y., and Lin, Z. (August 16, 2010). "Robust Fuzzy Tracking Control Design for a Class of Nonlinear Stochastic Markovian Jump Systems." ASME. J. Dyn. Sys., Meas., Control. September 2010; 132(5): 051005. https://doi.org/10.1115/1.4001850
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