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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Borges de Sousa, J. Lobo Pereira, F. |
| Copyright Year | 2005 |
| Description | Author affiliation: Instituto de Sistemas e Robótica, Faculdade de Engenharia da Universidade do Porto, R. Dr. Roberto Frias, 4200-465 Porto, Portugal. jbs@fe.up.pt (Borges de Sousa, J.) |
| Abstract | Two problems of motion planning for controlled systems which are required to attain a given target set while satisfying coordinated constraints are formulated and solved using dynamic optimization techniques. Constraint coordination arises from the fact that the state of each system is mapped onto state constraints for the other systems. The problems are formulated in terms of backward reach sets which are the sub-zero level sets of appropriate value functions for nonstandard cost functions. The value functions are the solutions of Hamilton-Jacobi-Bellman type PDEs. For linear dynamics and ellipsoidal constraints the value functions are calculated through duality techniques from convex analysis. |
| Starting Page | 6394 |
| Ending Page | 6399 |
| File Size | 156257 |
| Page Count | 6 |
| File Format | |
| ISBN | 0780395670 |
| DOI | 10.1109/CDC.2005.1583187 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2005-12-15 |
| Publisher Place | Spain |
| Access Restriction | Subscribed |
| Rights Holder | IEEE/EUCA |
| Subject Keyword | Motion control Control systems Optimal control Constraint optimization Level set Cost function Scholarships Differential equations Path planning Automata |
| Content Type | Text |
| Resource Type | Article |
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