l1-control using linear programming for systems with asymmetric bounds

l1-control using linear programming for systems with asymmetric bounds

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Article ID: iaor20061346
Country: United Kingdom
Volume: 78
Issue: 18
Start Page Number: 1459
End Page Number: 1465
Publication Date: Dec 2005
Journal: International Journal of Control
Authors: , ,
Keywords: programming: linear
Abstract:

In this paper, a novel way to handle the analysis and design of control systems with bounded asymmetrical signals is presented. Instead of the standard peak-to-peak norm, normally used in l1-optimal control to use an asymmetric objective functional, which simplifies the consideration of asymmetrically bounded signals. Necessary and sufficient conditions are derived to check if some performance specifications, expressed using this objective functional, are fulfilled. The analysis and the synthesis problems are also formulated with respect to this objective functional: as in the standard l1 control, this approach leads to a linear programming problem which can be solved by available optimization tools. A numerical example is also studied to clarify this proposed approach.

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