TY - GEN
T1 - Fuzzy optimal control of structures
AU - Rao, S. S.
AU - Liu, Qing
PY - 2006/1/1
Y1 - 2006/1/1
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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U2 - 10.2514/6.2006-2227
DO - 10.2514/6.2006-2227
M3 - Conference contribution
AN - SCOPUS:34247176712
SN - 1563478080
SN - 9781563478086
T3 - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
SP - 7590
EP - 7603
BT - Collection of Technical Papers - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
PB - American Institute of Aeronautics and Astronautics Inc.
T2 - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Y2 - 1 May 2006 through 4 May 2006
ER -