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Zbl 0976.74045
Szyszkowski, W.; Grewal, I.S.
Beam analogy for optimal control of linear dynamic systems. (English)
[J] Comput. Mech. 25, No.5, 489-500 (2000). ISSN 0178-7675; ISSN 1432-0924/e

Summary: Optimal control problems for linear dynamic systems with quadratic performance index are solved using the beam analogy. The governing equations for optimal maneuver are derived in the form of coupled fourth-order differential equations in time domain. These equations are uncoupled using modal variables. Next, each independent equation is made analogous to the corresponding problem of a beam on elastic foundation. The beam problem in the spatial domain is solved using standard FEM software. Finally, the FEM results are transferred back to the time domain, where they represent optimal trajectories and controls for the dynamic system.

MSC 2000:: *74M05 Control, switches and devices (``smart materials'')
70Q05 Control of mechanical systems
93C15 Control systems governed by ODE
74S05 Finite element methods

Keywords: commercial FEM software ANSYS; optimal control; linear dynamic systems; quadratic performance index; beam analogy; fourth-order differential equations; time domain; spatial domain

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