NDLI: Control strategies for stable orbits around phobos

Content Provider	IEEE Xplore Digital Library
Author	Takacs, S. Damaren, C.J.
Copyright Year	2005
Description	Author affiliation: Inst. for Aerosp. Studies, Toronto Univ., Ont. (Takacs, S.; Damaren, C.J.)
Abstract	This study compares three linear optimal controllers for stationkeeping with respect to reference orbits around Phobos. The dynamics of the Mars-Phobos system are constrained to the synodical plane of the circular restricted three-body problem (CRTBP) with Phobos modelled as an ellipsoid. The controllers rely on periodic orbits which permit the dynamics to be expressed as a linear system with periodic coefficients. A novel method of determining the necessary conditions for periodic orbits is formulated through nonlinear optimization techniques, where the function to be minimized is the vector norm of the difference between the initial and final conditions of the orbit. The optimization algorithm is a Nelder-Mead simplex and is shown to outperform any gradient-based methods as well as other techniques for determining such orbits. Two controllers, constant feedback and scheduled, are developed from the algebraic Riccati equation (ARE), which is solved at specific points on the reference orbits. These controllers are then compared to the optimal solution which uses the time-varying Riccati equation. At high orbits, the periodicity of the linearized system is very small and the controllers are nearly identical in performance. Closer orbits reveal increases in the periodicity of the dynamics, leading to an increase in performance of the time-varying Riccati equation-based controller over the scheduled and constant feedback gain cases
Starting Page	553
Ending Page	558
File Size	362894
Page Count	6
File Format	PDF
ISBN	0780393546
DOI	10.1109/CCA.2005.1507184
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-08-28
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Orbits Riccati equations Optimal control Control systems Optimization methods Feedback Ellipsoids Nonlinear dynamical systems Linear systems Vectors
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in