Optimized State-Dependent Riccati Equation Method for Spacecraft Attitude Estimation and Control

L. Haim, D. Choukroun

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Scopus citations

Abstract

This work presents an extension of the state dependent Riccati equation method (SDRE), a powerful technique for optimal estimation and control of nonlinear systems. Following the standard SDRE approach, nonlinear multivariable model equations are recast as a pseudo- linear equations with a state-dependent coeficient matrix. Exploiting the non-uniqueness of that parametrization, an optimization problem is formulated with respect to weighting factors in a generalized state-dependent representation. The measure of performance is the classical infinite-horizon integral quadratic cost. The controller assumes an SDRE-like structure, where the gains becomes nonlinear functions of the decision variables. An off- line numerical solution is implemented via two types of gradient-based iterative methods (steepest descent and Newton). In order to allow for on-line implementation, a simpler algorithm is devised where the controller switches among a finite set of possible SDRE controllers, which are implemented in parallel. The application of the optimized SDRE method to attitude stabilization for rigid body dynamics with full information and actu- ation is developed and illustrated via numerical simulations. Further, the application to attitude and attitude rates estimation is described and implemented on a numerical ex- ample. Extensive Monte-Carlo simulations show satisfying performances of the proposed stabilization and the estimation methods in regard of different nonlinear approaches.

Original languageEnglish
Title of host publicationAIAA Guidance, Navigation, and Control Conference 2012
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Number of pages21
ISBN (Print)9781600869389
DOIs
StatePublished - 2012
Externally publishedYes
EventAIAA Guidance, Navigation, and Control Conference 2012 - Minneapolis, MN, United States
Duration: 13 Aug 201216 Aug 2012

Conference

ConferenceAIAA Guidance, Navigation, and Control Conference 2012
Country/TerritoryUnited States
CityMinneapolis, MN
Period13/08/1216/08/12

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