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Measurement‐scheduled control for the RTAC problem: an LMI approach
Author(s) -
Dussy Stéphane,
El Ghaoui Laurent
Publication year - 1998
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/(sici)1099-1239(19980415/30)8:4/5<377::aid-rnc360>3.0.co;2-b
Subject(s) - control theory (sociology) , benchmark (surveying) , lyapunov function , nonlinear system , linear matrix inequality , controller (irrigation) , computer science , quadratic equation , mathematical optimization , state space , control (management) , mathematics , statistics , physics , geometry , geodesy , quantum mechanics , artificial intelligence , agronomy , biology , geography
The RTAC nonlinear control design benchmark problem is addressed using a multi‐objective control methodology based on linear matrix inequalities and robust control. The approach hinges on the search for a common quadratic Lyapunov function ensuring various specifications (stability, ℒ 2 ‐gain, command input and output peak bounds) for the closed‐loop system. The resulting output‐feedback controller is measurement‐scheduled; precisely, its state‐space matrices depend on the measurement vector, in a nonlinear fashion. We evaluate the performance of our design with various simulations and predicted trade‐off curves. © 1998 John Wiley & Sons, Ltd.