Abstract
Fuzzy numbers can be used to model structural uncertainties. In addition, structures can be modeled using the fuzzy finite element method. In order to design an optimal controller for the fuzzy modeled structures, fuzzy optimal controller design should be explored. During the past few years, some researches have been trying to design fuzzy optimal controllers based on the Takagi and Sugeno model. In this paper, a different structural model based on fuzzy finite element analysis is presented. The corresponding fuzzy optimal control theory is also explored. In most practical applications the structural and material parameters vary considerably and are subject to uncertainties, mainly due to the uncontrollable aspects associated with the manufacturing and assembly processes associated with materials (especially composite materials). The probabilistic methods cannot be applied since the probability distributions of the uncertain parameters are not usually known. Also, in some situations, the parameters are known only in linguistic form. A fuzzy finite element approach has been developed for the analysis of structures with fuzzy parameters. Based on the deterministic optimal control theory, a fuzzy optimal control theory is developed to act as a regulator or a tracking system. A 2-dimensional truss and a 3-dimensional composite box beam are presented to demonstrate the feasibility and applicability of the methodology presented.
| Original language | English |
|---|---|
| Title of host publication | Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference |
| Pages | 7590-7603 |
| Number of pages | 14 |
| Volume | 11 |
| State | Published - Dec 1 2006 |
| Event | 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Newport, RI, United States Duration: May 1 2006 → May 4 2006 |
Other
| Other | 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference |
|---|---|
| Country | United States |
| City | Newport, RI |
| Period | 5/1/06 → 5/4/06 |
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ASJC Scopus subject areas
- Architecture
Cite this
Fuzzy optimal control of structures. / Rao, Singiresu S; Liu, Qing.
Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 11 2006. p. 7590-7603.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Fuzzy optimal control of structures
AU - Rao, Singiresu S
AU - Liu, Qing
PY - 2006/12/1
Y1 - 2006/12/1
N2 - Fuzzy numbers can be used to model structural uncertainties. In addition, structures can be modeled using the fuzzy finite element method. In order to design an optimal controller for the fuzzy modeled structures, fuzzy optimal controller design should be explored. During the past few years, some researches have been trying to design fuzzy optimal controllers based on the Takagi and Sugeno model. In this paper, a different structural model based on fuzzy finite element analysis is presented. The corresponding fuzzy optimal control theory is also explored. In most practical applications the structural and material parameters vary considerably and are subject to uncertainties, mainly due to the uncontrollable aspects associated with the manufacturing and assembly processes associated with materials (especially composite materials). The probabilistic methods cannot be applied since the probability distributions of the uncertain parameters are not usually known. Also, in some situations, the parameters are known only in linguistic form. A fuzzy finite element approach has been developed for the analysis of structures with fuzzy parameters. Based on the deterministic optimal control theory, a fuzzy optimal control theory is developed to act as a regulator or a tracking system. A 2-dimensional truss and a 3-dimensional composite box beam are presented to demonstrate the feasibility and applicability of the methodology presented.
AB - Fuzzy numbers can be used to model structural uncertainties. In addition, structures can be modeled using the fuzzy finite element method. In order to design an optimal controller for the fuzzy modeled structures, fuzzy optimal controller design should be explored. During the past few years, some researches have been trying to design fuzzy optimal controllers based on the Takagi and Sugeno model. In this paper, a different structural model based on fuzzy finite element analysis is presented. The corresponding fuzzy optimal control theory is also explored. In most practical applications the structural and material parameters vary considerably and are subject to uncertainties, mainly due to the uncontrollable aspects associated with the manufacturing and assembly processes associated with materials (especially composite materials). The probabilistic methods cannot be applied since the probability distributions of the uncertain parameters are not usually known. Also, in some situations, the parameters are known only in linguistic form. A fuzzy finite element approach has been developed for the analysis of structures with fuzzy parameters. Based on the deterministic optimal control theory, a fuzzy optimal control theory is developed to act as a regulator or a tracking system. A 2-dimensional truss and a 3-dimensional composite box beam are presented to demonstrate the feasibility and applicability of the methodology presented.
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M3 - Conference contribution
SN - 1563478080
SN - 9781563478086
VL - 11
SP - 7590
EP - 7603
BT - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
ER -