Output feedback control for fuzzy systems with immeasurable premise variables

This paper is concerned with the output feedback control for fuzzy systems with immeasurable premise variables. When we consider a fuzzy system, the selection of the premise variable is important. If it is the state of the system, a fuzzy system describes a wide class of nonlinear systems. However,...

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Bibliographic Details
Main Author: Yoneyama, J.
Format: Conference Proceeding
Language:English
Subjects:
Control system synthesis
Control systems
Design methodology
Fuzzy sets
Fuzzy systems
Nonlinear systems
Output feedback
Stability
State feedback
Takagi-Sugeno model
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Summary:This paper is concerned with the output feedback control for fuzzy systems with immeasurable premise variables. When we consider a fuzzy system, the selection of the premise variable is important. If it is the state of the system, a fuzzy system describes a wide class of nonlinear systems. However, the state is not measurable in the output feedback control problem. Hence, the premise variable is not unknown. In this case, the separation principle, in general, does not hold. This causes a difficulty in control design. In order to overcome this difficulty, a new approach to the output feedback control is introduced. Our approach converts the output feedback stabilization into the H infin control problem where the terms related to the premise variable is considered an unknown signal. The method does not only stabilizes the system but also takes care of the control performance. A numerical example is given to show the effectiveness of our output feedback control.
ISSN:1098-7584
DOI:10.1109/FUZZY.2009.5277119