Journal
AUTOMATICA
Volume 44, Issue 9, Pages 2333-2339Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2008.01.002
Keywords
fuzzy control; H-2 control; LMI; static output feedback; Takagi and Sugeno fuzzy model; uncertain nonlinear systems
Funding
- National Natural Science Foundation of China [60674058]
- Beijing Natural Science Foundation [4062021]
- Program for New Century Excellent Talents in Universities, China
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This paper studies the problem of robust H-2 static output feedback (SOF) fuzzy control for discrete-time nonlinear systems with parametric uncertainties. The Takagi and Sugeno fuzzy model is employed to represent an uncertain discrete-time nonlinear system. A sufficient condition for the existence of robust H-2 SOF fuzzy controllers is presented in terms of a set of matrix inequalities, which not only guarantees the stability of the closed-loop fuzzy system, but also provides an upper bound on the quadratic cost function. A suboptimal robust H-2 SOF fuzzy control problem is addressed in the sense of minimizing the bound. An iterative linear matrix inequality (ILMI) algorithm is proposed to compute the feedback gain matrices of the suboptimal fuzzy controller. Finally, two numerical examples are also provided to demonstrate the effectiveness of the proposed method. (c) 2008 Elsevier Ltd. All rights reserved.
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