Title

Optimal open/closed-loop control for systems with distributed parameter

Document Type

Article

Publication Date

1-1-1995

Abstract

An optimal control problem for multi-dimensional structures described by a system of partial differential equations is considered. A combined open- and closed-loop mechanism is incorporated into the formulation of the problem and a general method of solution is presented. Two performance indices are introduced and minimized with respect to the open-loop control functions and the closed-loop control parameters. The optimality condition for the open-loop control is derived in form of the integral equations by using the methods of eigenfunction expansion and variational calculus. The closed-loop control parameters are numerically determined from the minimization of the energy of the system subject to a constraint on the maximum amount of closed-loop control force that can be applied. The proposed approach is applied to a shear deformable beam excited by an initial disturbance. An explicit solution of the problem is obtained and numerical results are given to investigate the effectiveness of the proposed control mechanism. © 1995.

Publication Name

Journal of the Franklin Institute

Volume Number

332

First Page

5

Last Page

19

Issue Number

1

DOI

10.1016/0016-0032(94)00018-F

This document is currently not available here.

Share

COinS