CDS 110b: Optimal Control: Difference between revisions
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<li> Review of optimization: necessary conditions for extrema, with and without constraints | <li> Review of optimization: necessary conditions for extrema, with and without constraints | ||
<li> Optimal control: Pontryagin Maximum Principle | <li> Optimal control: Pontryagin Maximum Principle | ||
<li> Examples: bang-bang control and | <li> Examples: bang-bang control and Caltech ducted fan (if time) | ||
</ol> | </ol> | ||
== Lecture Materials == | == Lecture Materials == | ||
* Lecture | * {{cds110b-pdfs|L1-2_Optimal.pdf|Lecture Presentation}} | ||
* Homework 1 | * {{cds110b-pdfs|hw1.pdf|Homework 1}} | ||
== References and Further Reading == | == References and Further Reading == | ||
* [http://www.cds.caltech.edu/~macmardg/cds110b/pontryagin.pdf Notes on Pontryagin's Maximum Principle] | * [http://www.cds.caltech.edu/~macmardg/cds110b/pontryagin.pdf Notes on Pontryagin's Maximum Principle] | ||
== Frequently Asked Questions == | == Frequently Asked Questions == | ||
Revision as of 20:20, 2 January 2006
See current course homepage to find most recent page available. |
| Course Home | L7-2: Sensitivity | L8-1: Robust Stability | L9-1: Robust Perf | Schedule |
This lecture provides an overview of optimal control theory. Beginning with a review of optimization, we introduce the notion of Lagrange multipliers and provide a summary of the Pontryagin's maximum principle.
Lecture Outline
- Introduction: two degree of freedom design and trajectory generation
- Review of optimization: necessary conditions for extrema, with and without constraints
- Optimal control: Pontryagin Maximum Principle
- Examples: bang-bang control and Caltech ducted fan (if time)
