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On the synthesis of robust multiple-model adaptive controllers (RMMAC) using BMI/LPV controllers
Rosa P.1; Balas G.J.1,2; Silvestre C.1; Athans M.1
Conference Namethe European Control Conference ECC 2009
Source Publication2009 European Control Conference, ECC 2009
Conference DateAugust 2009.
Conference PlaceBudapest, Hungary

This paper addresses the design of robust multiple model adaptive controllers (RMMAC) for linear parameter varying (LPV) systems using bilinear matrix inequalities (BMI). We show a novel method that allows increasing the performance of the RMMAC when the uncertain parameters of the system dynamics are time-varying (TV). We assume that these TV parameters cannot be measured on-line and that the only information available is on the corresponding slope of variation bound and on the admissible range. A comparison between mixed-μ and BMI/LPV controllers is presented and the benefits of this new approach are assessed using a set of Monte-Carlo simulation runs. The decrease of the RMS of the error due to the use of the BMI/LPV controllers serves as an indicator of the performance improvements of this methodology. An increase of 20% in terms of RMS performance is obtained for the case study presented.

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Document TypeConference paper
Affiliation1.Institute for Systems and Robotics - Instituto Superior Tecnico, Av. Rovisco Pais, 1, 1049-001 Lisboa, Portugal
2.h University of Minnesota, Aerospace Engineering Department - Minneapolis, Minnesota, United States of America
Recommended Citation
GB/T 7714
Rosa P.,Balas G.J.,Silvestre C.,et al. On the synthesis of robust multiple-model adaptive controllers (RMMAC) using BMI/LPV controllers[C],2014:1644-1649.
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