Difference between revisions of "Wei Kang, 26 Feb 08"

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* 10:00: Richard, 109 Steele
* 10:00: Richard, 109 Steele
* 10:30: Open
* 10:30: David Pekarek (meet in 109 Steele)
* 11:15: Open
* 11:15: Melvin Flores, 15 Steele
* 12:00: Lunch time seminar
* 12:00: Lunch time seminar
* 1:30: Open
* 1:30: Richard
* 2:15: Shuo
* 2:15: Shuo
* 3:00: Open
 
* 3:30: Open
== Seminar ==
* 4:00: Richard
 
<center>
ON PSEUDOSPECTRAL METHODS OF NONLINEAR OPTIMAL CONTROL<br>
<br>
Wei Kang<br>
Professor<br>
Department of Applied Mathematics<br>
Naval Postgraduate School<br>
Monterey, CA 93943<br>
<br>
Tuesday, February 26, 2008<br>
12:00 PM to 1:30 PM<br>
Steele 114 (CDS Library)<br>
</center>
 
The focus of this talk is on the optimal control of nonlinear systems
subject to mixed state and control constraints, a difficult core 
problem
in the history of control theory and system engineering. 
Pseudospectral
(PS) methods for optimal control will be introduced. Originally 
developed
as a computational method for partial differential equations, PS 
methods
have become an emerging approach in solving optimal control problems 
with
highly nonlinear dynamics and mixed state-control constraints. 
Following
the introduction of PS algorithms, in this talk I will address three
fundamental questions, namely the existence of feasible 
trajectories, the
convergence of the optimal solutions, and the rate of convergence in 
the
approximation of the optimal control.  The problems will be 
addressed for
both continuous and discontinuous optimal controls. In addition,
illustrative examples of optimal control using the Legendre PS 
method will
also be presented.

Latest revision as of 07:21, 26 February 2008

This page is the agenda for the visit by Wei Kang from NPS.

Tuesday

  • 10:00: Richard, 109 Steele
  • 10:30: David Pekarek (meet in 109 Steele)
  • 11:15: Melvin Flores, 15 Steele
  • 12:00: Lunch time seminar
  • 1:30: Richard
  • 2:15: Shuo

Seminar

ON PSEUDOSPECTRAL METHODS OF NONLINEAR OPTIMAL CONTROL

Wei Kang
Professor
Department of Applied Mathematics
Naval Postgraduate School
Monterey, CA 93943

Tuesday, February 26, 2008
12:00 PM to 1:30 PM
Steele 114 (CDS Library)

The focus of this talk is on the optimal control of nonlinear systems subject to mixed state and control constraints, a difficult core problem in the history of control theory and system engineering. Pseudospectral (PS) methods for optimal control will be introduced. Originally developed as a computational method for partial differential equations, PS methods have become an emerging approach in solving optimal control problems with highly nonlinear dynamics and mixed state-control constraints. Following the introduction of PS algorithms, in this talk I will address three fundamental questions, namely the existence of feasible trajectories, the convergence of the optimal solutions, and the rate of convergence in the approximation of the optimal control. The problems will be addressed for both continuous and discontinuous optimal controls. In addition, illustrative examples of optimal control using the Legendre PS method will also be presented.