Systematically Structured $H_2$ Optimal Control for Truss-Supported Segmented Mirrors
Autor: | Michel Verhaegen, Reinier Doelman, Sander Dominicus, Renaud Bastaits |
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Rok vydání: | 2019 |
Předmět: |
0209 industrial biotechnology
Interconnection Segmented mirror Computer science Truss 02 engineering and technology Optimal control 01 natural sciences Finite element method 010309 optics Set (abstract data type) 020901 industrial engineering & automation Control and Systems Engineering Control theory 0103 physical sciences Singular value decomposition Electrical and Electronic Engineering |
Zdroj: | IEEE Transactions on Control Systems Technology. 27:2263-2270 |
ISSN: | 2374-0159 1063-6536 |
DOI: | 10.1109/tcst.2018.2850306 |
Popis: | A systematic distributed optimal control design procedure is proposed for the rejection of wind load-induced disturbances on a truss-supported segmented mirror. The distributed nature of the controller is achieved by weighing of the interaction matrices between local (per-segment) controllers in a global ${\mathcal {H}_{2}}$ optimization. The procedure allows a tradeoff analysis between the controller implementation complexity versus the improved performance the extra communication brings. The procedure is demonstrated on a finite element model of a segmented mirror on a flexible supporting truss to which we apply the combined closed-loop performance and local controller interconnection structure optimization. The resulting set of controllers is compared to a set of baseline controllers including linear–quadratic–Gaussian control, singular value decomposition control, and a distributed controller where local controllers of neighboring segments communicate. The tradeoff analysis for the segmented mirror demonstrates that the communication between the local controllers can be greatly reduced without significantly compromising the rejection of wind-induced wavefront errors. |
Databáze: | OpenAIRE |
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