Point-to-Point Control near Heteroclinic Orbits: Plant and Controller Optimality Conditions
- Degree Grantor:
- University of California, Santa Barbara. Mechanical Engineering
- Degree Supervisor:
- Jeff Moehlis
- Place of Publication:
- [Santa Barbara, Calif.]
- Publisher:
- University of California, Santa Barbara
- Creation Date:
- 2013
- Issued Date:
- 2013
- Topics:
- Design and Decorative Arts, Engineering, Mechanical, and Mathematics
- Keywords:
- Control,
Optimal,
Heteroclinic,
Orbit, and
Plant - Genres:
- Online resources and Dissertations, Academic
- Dissertation:
- M.S.--University of California, Santa Barbara, 2013
- Description:
In this thesis we consider the simultaneous optimization of the controller and plant in a one degree-of-freedom system. In particular we are interested in optimal trajectories between fixed points connected by heteroclinic orbits. We find that designing the plant dynamics to have a heteroclinic connection between target states enables low energy transfer between the states. We use a nested optimization strategy to find the optimal plant dynamics and control effort to transition between states. Additionally, we uncover plant optimality conditions which reduce the complexity of the optimization.
- Physical Description:
- 1 online resource (38 pages)
- Format:
- Text
- Collection(s):
- UCSB electronic theses and dissertations
- Other Versions:
- http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:1545829
- ARK:
- ark:/48907/f3j67dxj
- ISBN:
- 9781303426568
- Catalog System Number:
- 990040770790203776
- Copyright:
- Brian Paden, 2013
- Rights:
- In Copyright
- Copyright Holder:
- Brian Paden
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