Investigation of the Stability of Satellite Large Angle Attitude Manoeuvres Using Nonlinear Optimization Methods

1860 11 59392 2 165799 document 59392 RR-83-14.pdf application/pdf 02c49fd4e2424077997a7e40434047f5 MD5 5720835 2016-06-02 07:20:01 https://pure.iiasa.ac.at/id/eprint/1860/1/RR-83-14.pdf 1860 1 1 application/pdf text en public cc_by

RR-83-14.pdf

published 59393 2 165802 document 59393 lightbox.jpg image/png 5450b44b5c1417d8ca8ddd21d99ce948 MD5 13257 2016-06-02 07:20:15 https://pure.iiasa.ac.at/id/eprint/1860/2/lightbox.jpg 1860 2 2 image/png other Thumbnails conversion from text to thumbnail_lightbox en public

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/59392 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/59392 http://eprints.org/relation/isIndexCodesVersionOf https://pure.iiasa.ac.at/id/document/59392 archive 351 disk0/00/00/18/60 2016-01-15 01:50:52 2021-08-27 17:35:23 2016-01-15 01:50:52 monograph show 1 Dempster M.A.H. AL0086 Coupe G.M. Investigation of the Stability of Satellite Large Angle Attitude Manoeuvres Using Nonlinear Optimization Methods pub iis_met iis_mod prog_sds Some theoretical investigations of large angle attitude manoeuvres have been based on the application of Lyapunov's stability theory. With this method Mortensen derived stable control laws for performing attitude manoeuvres with either thrusters or reaction wheels. Previous results were idealized in that they ignored the nonlinearities inherent in the operation of both types of actuators. The present paper extends the scope of this work by acknowledging the actuator nonlinearities. The approach selected is to estimate the domain of attraction (DOA) of the target equilibrium for the system corresponding to the idealized control laws constrained by the actuator nonlinearities. The DOA is estimated by searching for the largest region of asymptotic stability over a set of quadratic Lyapunov functions. This approach results from the application of a theorem of Lasalle and gives rise to two nested nonlinear optimization problems, the internal one of which is a constrained global problem with several local minima. The paper gives an overview of the progress made in solving problems of this complexity. Emphasis has been placed on the parametrization of quadratic Lyapunov functions and a detailed comparison of several candidate nonlinear optimization techniques has been made for both the constrained and unconstrained optimization problem. Areas requiring further research are identified. 1982 published RR-83-014. Reprinted from Proceedinngs of the IFAC/ESA Symposium on Automatic Control in Space, ESTEC, Noordwyk, Netherlands, [1982]. RP-83-014 Reprinted from Proceedinngs of the IFAC/ESA Symposium on Automatic Control in Space; ESTEC, Noordwyk, Netherlands, [1982] 10 1829 public research_reprint Proceedinngs of the IFAC/ESA Symposium on Automatic Control in Space IIASA, Laxenburg, Austria 17 TRUE FALSE info:eu-repo/semantics/book