The variational formulation of a pseudo feedback control algorithm

An on-line, suboptimal feedback control algorithm is proposed and demonstrated. The procedure is developed using a variational formulation of the optimal control problem. A convex index of performance is presumed. The Finite Element Method is used in conjunction with a variable mesh gridation scheme to produce accurate local approximations of the weak functional forms that result from the variational formulation. These local results provide a basis for the continual updating of the suboptimal control strategy. The extension of the algorithm to the control of nonlinear dynamical systems is also investigated. The Euler Necessary Conditions that describe the analytical solution of the Optimal Control Problem for the nonlinear plant are linearized using two different approaches, Quasilinearization, and Linearization at a Point. The simulated response of both a linear and a nonlinear dynamical system to the input of the suboptimal control generated using the proposed algorithm is offered in plot form. The closure of the disseration includes a suggested list of recommendations for further research.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mechanical Engineering

Department dc:contributor.department

Mechanical Engineering

Grantor dc:publisher

Virginia Polytechnic Institute and State University

Year dc:date.issued

1986

Author dc:creator

• Patten, William Neff

Chair dc:contributor.committeechair

• Robertshaw, Harry H.

Committee members dc:contributor.committeemember

• Burns, John A.
• Eiss, Norman S.
• Herdman, Terry L.
• Leonard, Robert G.
• Holzer, Siegfried M.

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en_US

Handle dc:identifier.uri

http://hdl.handle.net/10919/76088

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/76088