Wei Kang, 26 Feb 08: Difference between revisions
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== Seminar == | |||
<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. | |||
Revision as of 04:24, 25 February 2008
This page is the agenda for the visit by Wei Kang from NPS.
Tuesday
- 10:00: Richard, 109 Steele
- 10:30: Open
- 11:15: Open
- 12:00: Lunch time seminar
- 1:30: Open
- 2:15: Shuo
- 3:00: Open
- 3:30: Open
- 4:00: Richard
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.
