assn4 - MIT OpenCourseWare 16.323...

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Unformatted text preview: MIT OpenCourseWare 16.323 Principles of Optimal Control Spring 2008 For information about citing these materials or our Terms of Use, visit: . 16.323 Handout #4 Prof. J. P. How March 20, 2007 Due: April 10, 2007 16.323 Homework Assignment #4 1. The derivation on pages 6–1 – 6–2 was done for the case of free or fixed x ( t f ) and then repeated on 6–3 for more general boundary condition m ( x ( t f ) ,t f ) = 0. (a) Use the result on 6–3 to derive an optimal controller for the same case as Example 6–1 (on page 6–5) but with terminal constraints that y ˙( t f ) = 0 and y 2 ( t f ) + ( t f − 5) 2 − 4 = 0 (b) Use fsolve (as on 5–18) to solve for the unknown parameters (there should be 5) in the control problem, and then use a simulation of the system to confirm that the control inputs cause the system to reach the target set at the appropriate t f ....
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This note was uploaded on 11/07/2011 for the course AERO 16.323 taught by Professor Jonathanhow during the Spring '08 term at MIT.

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assn4 - MIT OpenCourseWare 16.323...

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