Title :
A variational approach to optimum distributed parameter systems
Author :
Kim, M. ; Gajwani, S.H.
Author_Institution :
Cornell University, Ithaca, NY, USA
fDate :
4/1/1968 12:00:00 AM
Abstract :
The problem of designing an optimum distributed parameter system is considered. The canonical equations which are the necessary conditions for optimality are derived by applying the calculus of variation. For systems with a quadratic performance index and with its dynamics described by the diffusion, wave, or biharmonic equation, a method for solving the canonical equations is discussed.
Keywords :
Distributed systems; Optimal control; Boundary conditions; Calculus; Controllability; Differential equations; Distributed parameter systems; Integral equations; Lagrangian functions; Optimal control; Partial differential equations; Performance analysis;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1968.1098857
