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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Bless, Robert R. Hodges, Dewey H. |
| Copyright Year | 1990 |
| Description | Author affiliation: Graduate Research Assistant, School of Aerospace Engineering. Student Member, AIAA; Georgia Institute of Technology, Atlanta, Georgia (Bless, Robert R.) || Professor, School of Aerospace Engineering. Associate Fellow, AIAA; Georgia Institute of Technology, Atlanta, Georgia (Hodges, Dewey H.) |
| Abstract | A temporal finite element method based on a weak Hamiltonian form of the necessary conditions is summarized for optimal control problems. Very crude shape functions (so simple that element numerical quadrature is not necessary) can be used to develop an efficient procedure for obtaining candidate solutions (i.e., those which satisfy all the necessary conditions) even for highly nonlinear problems. An extension of the formulation allowing for discontinuities in the states and derivatives of the states is given. Furthermore, the theory to include control inequality constraints is fully developed. Finally, an Advanced Launch Vehicle (ALV) model is presented. The model involves staging and control constraints, thus demonstrating the full power of the weak formulation to date. Numerical results are presented along with total elapsed computer time required to obtain the results. The speed and accuracy in obtaining the results make this method a strong candidate for a real-time guidance algorithm. |
| Starting Page | 242 |
| Ending Page | 247 |
| File Size | 415509 |
| Page Count | 6 |
| File Format | |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1990-05-23 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | American Automatic Control Council(AACC) |
| Subject Keyword | Finite element methods Optimal control Performance analysis Equations Aerospace engineering Lagrangian functions Shape Constraint theory Intelligent vehicles Navigation |
| Content Type | Text |
| Resource Type | Article |
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