%0 Journal Article %1 Ott2013 %A Ott, T. %A Fichter, W. %A Bennani, S. %A Winkler, S. %D 2013 %J CEAS Space Journal %K ifr %N 1 %P 13--30 %R 10.1007/s12567-012-0028-z %T Precision pointing H∞ control design for absolute, window-, and stability-time errors %U https://doi.org/10.1007/s12567-012-0028-z %V 4 %X Achieving precision pointing performance plays a decisive role in future space missions. Pointing performance is specified by a set of requirements consisting of absolute, window- and stability-time errors. The European Cooperation for Space Standardization categorizes this set in the following pointing performance error indices: absolute performance error (APE), mean performance error (MPE), relative performance error (RPE), performance drift error (PDE) and performance reproducibility error (PRE). The analysis of pointing error indices in time-simulations is straightforward as error data time-series can be described by standard statistics. However, for design purposes there exists no method that can directly and systematically handle control loop performance in terms of window- and stability-time pointing error indices. In this article we extend the standard multi-objective H2/H∞ control problem to explicitly take into account requirements on pointing error index performance. The main topic, however, is the derivation of a control design approach that subjects the closed-loop control system to only one matrix criterion, the H∞-norm. Therefore an optimization is set up to map pointing error index requirements into closed-loop specifications. The advantage of this approach is that the derived closed-loop specifications serve as indicators for the direct identification of design drivers, limits of performance and eventually systematic design trade-offs. Unlike in multi-objective H2/H∞ control design approaches, this can be done even before controller synthesis, and thus independently of the specified control problem feasibility. Moreover, the derived approach enables control design in the H∞ closed-loop shaping framework. Thus, various design objectives including pointing performance and robustness can be treated with one matrix criterion.

@article{Ott2013, abstract = {Achieving precision pointing performance plays a decisive role in future space missions. Pointing performance is specified by a set of requirements consisting of absolute, window- and stability-time errors. The European Cooperation for Space Standardization categorizes this set in the following pointing performance error indices: absolute performance error (APE), mean performance error (MPE), relative performance error (RPE), performance drift error (PDE) and performance reproducibility error (PRE). The analysis of pointing error indices in time-simulations is straightforward as error data time-series can be described by standard statistics. However, for design purposes there exists no method that can directly and systematically handle control loop performance in terms of window- and stability-time pointing error indices. In this article we extend the standard multi-objective H2/H∞ control problem to explicitly take into account requirements on pointing error index performance. The main topic, however, is the derivation of a control design approach that subjects the closed-loop control system to only one matrix criterion, the H∞-norm. Therefore an optimization is set up to map pointing error index requirements into closed-loop specifications. The advantage of this approach is that the derived closed-loop specifications serve as indicators for the direct identification of design drivers, limits of performance and eventually systematic design trade-offs. Unlike in multi-objective H2/H∞ control design approaches, this can be done even before controller synthesis, and thus independently of the specified control problem feasibility. Moreover, the derived approach enables control design in the H∞ closed-loop shaping framework. Thus, various design objectives including pointing performance and robustness can be treated with one matrix criterion.}, added-at = {2021-02-13T16:00:37.000+0100}, author = {Ott, T. and Fichter, W. and Bennani, S. and Winkler, S.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/28af1a9aa178e1482775c83e06cf6fbbd/janolucak}, day = 01, description = {Precision pointing H ∞ control design for absolute, window-, and stability-time errors | SpringerLink}, doi = {10.1007/s12567-012-0028-z}, interhash = {572dfa0c21d61e5a62fa898ed695a3e8}, intrahash = {8af1a9aa178e1482775c83e06cf6fbbd}, issn = {1868-2510}, journal = {CEAS Space Journal}, keywords = {ifr}, month = jun, number = 1, pages = {13--30}, timestamp = {2021-02-13T15:00:37.000+0100}, title = {Precision pointing H∞ control design for absolute, window-, and stability-time errors}, url = {https://doi.org/10.1007/s12567-012-0028-z}, volume = 4, year = 2013 }