Variational Formulation for the Optimal Control Problems of Elastic Body Motions
Georgy Kostin, Vasily Saurin
An approach to modeling and optimization of controlled dynamical systems with distributed elastic and inertial parameters is considered. The general method of integrodifferential relations (MIDR) for solving a wide class of initial-boundary value problems is developed and criteria of solution quality are proposed. A numerical algorithm for discrete approximation of controlled motions has been worked out and applied to design the optimal control lаw leading an elastic system to the terminal position and minimizing a given objective function.