Robust H∞ Fuzzy Control for Nonlinear Discrete-Time Stochastic Systems with Markovian Jump and Parametric Uncertainties
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-18
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The paper mainly investigates the H∞ fuzzy control problem for a class of nonlinear discrete-time stochastic systems with Markovian jump and parametric uncertainties.
The class of systems is modeled by a state space Takagi-Sugeno (T-S) fuzzy model that has linear nominal parts and norm-bounded parameter uncertainties in the state and output equations.
An H∞ control design method is developed by using the Lyapunov function.
The decoupling technique makes the Lyapunov matrices and the system matrices separated, which makes the control design feasible.
Then, some strict linear matrix inequalities are derived on robust H∞ norm conditions in which both robust stability and H∞ performance are required to be achieved.
Finally, a computer-simulated truck-trailer example is given to verify the feasibility and effectiveness of the proposed design method.
American Psychological Association (APA)
Sun, Huiying& Yan, Long. 2014. Robust H∞ Fuzzy Control for Nonlinear Discrete-Time Stochastic Systems with Markovian Jump and Parametric Uncertainties. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-456090
Modern Language Association (MLA)
Sun, Huiying& Yan, Long. Robust H∞ Fuzzy Control for Nonlinear Discrete-Time Stochastic Systems with Markovian Jump and Parametric Uncertainties. Mathematical Problems in Engineering No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-456090
American Medical Association (AMA)
Sun, Huiying& Yan, Long. Robust H∞ Fuzzy Control for Nonlinear Discrete-Time Stochastic Systems with Markovian Jump and Parametric Uncertainties. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-456090
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456090