Record Details

Record 1 of 1
Lossless Convexification of Control Constraints for a Class of Nonlinear Optimal Control Problems
External Online Source: hdl:2014/42802
Author and Affiliation:
Blackmore, Lars(Space Exploration Technologies Corp., Hawthorne, CA, United States);
Acikmese, Behcet(Jet Propulsion Lab., California Inst. of Tech., Pasadena, CA, United States);
Carson, John M.,III(Jet Propulsion Lab., California Inst. of Tech., Pasadena, CA, United States)
Abstract: In this paper we consider a class of optimal control problems that have continuous-time nonlinear dynamics and nonconvex control constraints. We propose a convex relaxation of the nonconvex control constraints, and prove that the optimal solution to the relaxed problem is the globally optimal solution to the original problem with nonconvex control constraints. This lossless convexification enables a computationally simpler problem to be solved instead of the original problem. We demonstrate the approach in simulation with a planetary soft landing problem involving a nonlinear gravity field.
Publication Date: Jun 27, 2012
Document ID:
20140001972
(Acquired Mar 18, 2014)
Subject Category: CYBERNETICS, ARTIFICIAL INTELLIGENCE AND ROBOTICS
Document Type: Conference Paper
Meeting Information: International Federation of Automatic Control (IFAC) 2012 American Control Conference (ACC); 27-29 Jun. 2012; Montreal; Canada
Meeting Sponsor: International Federation of Automatic Control; Dusseldorf, Germany
Financial Sponsor: Jet Propulsion Lab., California Inst. of Tech.; Pasadena, CA, United States
Description: 7p; In English; Original contains color and black and white illustrations
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: CONVEXITY; NONLINEARITY; OPTIMAL CONTROL; CONSTRAINTS; SIMULATION; SOFT LANDING; GRAVITATIONAL FIELDS
Other Descriptors: PLANETARY LANDING; PLANETARY SOFT LANDING; UNMANNED AERIAL VEHICLE (UAV); NONCONVEX CONTROL CONSTRAINTS
Availability Source: Other Sources
› Back to Top
Facebook icon, External Link to NASA STI page on Facebook Twitter icon, External Link to NASA STI on Twitter YouTube icon, External Link to NASA STI Channel on YouTube RSS icon, External Link to New NASA STI RSS Feed
Find Similar Records
 
NASA Logo, External Link

NASA Official: Gerald Steeman

Sponsored By: NASA Scientific and Technical Information Program

Site Curator: STI Support Services

Last Modified: August 30, 2014

Privacy Policy & Important Notices Disclaimers, Copyright, Terms of Use Freedom of Information Act USA.gov NASA.gov NASA OCIO Free Adobe PDF Reader Free MS Word Viewer