Subject
- Posted on
Optimal control problem
- 08-13-2007
August 13, 2007, 2:30 pm
Hi All,
I am working on a mobile robot project, using optimal control. I know
how to obtain Euler-Lagrange equations for a system with dynamic
equation in the form:
dx/dt = f(x,u), where x is the state vector, u is the control
Now if my dynamic equation has the form of
dx/dt = f(x,u, u', u''), where u' = du/dt and u'' = d^u/dt^2.
Can this type of problem be solved by optimal control? What are the
equivalent Euler-Lagrange equations?
Thanks in advance,
Everett
Re: Optimal control problem
On Tue, 14 Aug 2007 02:30:37 +0800, Everett X. Wang wrote:
I couldn't tell you the equivalent Euler-Lagrange equations, but consider
a system defined as dx_a/dt = f_a(x_a, u_a), where u_a = u'', x is
augmented with u' and u, and f_a is modified appropriately so that u' is
the integral of u'' and u is the integral of u'.
Then you should just be able to analyze this with the tools you have, maybe.
--
Tim Wescott
Control systems and communications consulting
http://www.wescottdesign.com
Need to learn how to apply control theory in your embedded system?
"Applied Control Theory for Embedded Systems" by Tim Wescott
Elsevier/Newnes, http://www.wescottdesign.com/actfes/actfes.html
Re: Optimal control problem
Hi Mr. Wang and Mr. Tim Wescott,
Incidentally, I am interested in building a robot. May I know whta
kind of robot are currently working on? Is this a robot that has
vision, limbs, heads and stomach like a human being? Or is it just a
moving robot of any shape?
Thank you,
Boen S. Liong
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