%0 Journal Article
%T Control of Structures with Cubic and Quadratic Non-Linearities with Time Delay Consideration
%A Pinto
%A O. C.
%A Gon£żalves
%A P. B.
%J Journal of the Brazilian Society of Mechanical Sciences
%D 2002
%I Scientific Electronic Library Online
%R 10.1590/S0100-73862002000200003
%X this paper studies the effect of time delay on the active non-linear control of dynamically loaded flexible structures. the behavior of non-linear systems under state feedback control, considering a fixed time delay for the control force, is investigated. a control method based on non-linear optimal control, using a tensorial formulation and state feedback control is used. the state equations and the control forces are expressed in polynomial form and a performance index, quadratic in both state vector and control forces, is used. general polynomial representations of the non-linear control law are obtained and implemented for control algorithms up to the fifth order. this methodology is applied to systems with quadratic and cubic non-linearities. strongly non-linear systems are tested and the effectiveness of the control system including a delay for the application of control forces is discussed. numerical results indicate that the adopted control algorithm can be efficient for non-linear systems, chiefly in the presence of strong non-linearities but increasing time delay reduces the efficiency of the control system. numerical results emphasize the importance of considering time delay in the project of active structural control systems.
%K time delay
%K non-linear optimal control
%K active control systems.
%U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S0100-73862002000200003&lng=en&nrm=iso&tlng=en