Robust Static Output Feedback \mathcal \infty Control for Uncertain Takagi-Sugeno Fuzzy Systems

In this work, a robust static output feedback (SOF) design for continuous-time nonlinear systems under norm bounded uncertainties, described as a Takagi-Sugeno (TS) system is proposed. The key features are that a switching control law is used to activate the SOF gains to stabilize the uncertain TS f...

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Vydáno v:	IEEE transactions on fuzzy systems Ročník 30; číslo 10; s. 4434 - 4446
Hlavní autoři:	Elias, Leandro Jose, Faria, Flavio Andrade, Araujo, Rayza, Magossi, Rafael F. Q., Oliveira, Vilma Alves
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	IEEE 01.10.2022
Témata:	Control systems Full rank factorization Fuzzy systems Nonlinear systems norm bounded uncertainties Real-time systems switched controller switched fuzzy Lyapunov-like functions Switches Symmetric matrices Uncertainty
ISSN:	1063-6706, 1941-0034
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Abstract	In this work, a robust static output feedback (SOF) design for continuous-time nonlinear systems under norm bounded uncertainties, described as a Takagi-Sugeno (TS) system is proposed. The key features are that a switching control law is used to activate the SOF gains to stabilize the uncertain TS fuzzy system and the SOF design does not require the measurements of all premise variables in real time as in the standard fuzzy parallel distributed compensation design. The main result is given in terms of linear matrix inequalities, which guarantees a <inline-formula><tex-math notation="LaTeX">{\mathcal {H}}_{\infty }</tex-math></inline-formula> attenuation level of <inline-formula><tex-math notation="LaTeX">\gamma</tex-math></inline-formula> for the SOF control system. The efficiency of the main results is illustrated with examples, including a nonlinear active suspension system under uncertain driver masses, and compared with other published results from the literature.
AbstractList	In this work, a robust static output feedback (SOF) design for continuous-time nonlinear systems under norm bounded uncertainties, described as a Takagi-Sugeno (TS) system is proposed. The key features are that a switching control law is used to activate the SOF gains to stabilize the uncertain TS fuzzy system and the SOF design does not require the measurements of all premise variables in real time as in the standard fuzzy parallel distributed compensation design. The main result is given in terms of linear matrix inequalities, which guarantees a <inline-formula><tex-math notation="LaTeX">{\mathcal {H}}_{\infty }</tex-math></inline-formula> attenuation level of <inline-formula><tex-math notation="LaTeX">\gamma</tex-math></inline-formula> for the SOF control system. The efficiency of the main results is illustrated with examples, including a nonlinear active suspension system under uncertain driver masses, and compared with other published results from the literature.
Author	Oliveira, Vilma Alves Elias, Leandro Jose Araujo, Rayza Faria, Flavio Andrade Magossi, Rafael F. Q.
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Cites_doi	10.1016/j.sysconle.2015.08.007 10.1080/00207179608921866 10.1016/j.automatica.2013.02.047 10.1016/j.ins.2020.07.020 10.1007/s00419-002-0267-0 10.1080/00207170801942188 10.1109/91.919253 10.1109/9.763227 10.1109/TAC.2013.2289706 10.1109/TFUZZ.2009.2030670 10.1109/TSMCB.2005.856145 10.1016/j.ifacol.2020.12.1768 10.1109/TCSI.2003.818623 10.1007/s12555-013-0427-8 10.1109/TFUZZ.2017.2736964 10.1016/j.arcontrol.2016.09.014 10.1016/j.automatica.2017.12.027 10.1007/s40313-015-0195-1 10.1007/s12555-009-0505-0 10.1002/0471224596 10.1080/00207179.2018.1495341 10.1007/s40313-015-0172-8 10.1007/s40313-020-00601-z 10.1016/j.ins.2016.06.039 10.1007/s40815-020-00920-y 10.1016/j.fss.2006.09.010 10.1109/CACSD.2004.1393890 10.1109/TFUZZ.2006.880005 10.1080/00207721.2020.1818145 10.1109/TFUZZ.2006.876331 10.1109/TFUZZ.2010.2049113 10.1080/0025570X.1999.11996730 10.1016/j.fss.2014.10.023 10.1137/1.9781611970777 10.1109/CICA.2009.4982779 10.1109/91.940966 10.1109/TCST.2006.886443 10.1016/j.fss.2018.03.010 10.1109/TAC.2007.914278 10.1002/rnc.4528
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References	ref13 ref35 Edwards (ref43) 2003 ref12 ref34 ref15 ref14 ref36 ApS (ref40) 2019; 4 ref30 ref11 ref33 ref10 ref32 ref2 ref1 ref17 ref39 ref16 ref38 ref19 ref18 Boyd (ref31) 1994 ref24 ref23 ref26 ref25 ref20 ref42 ref41 ref22 ref21 ref28 ref27 ref29 ref8 ref7 ref9 ref4 ref3 ref6 ref5 Elias (ref37) 2021
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SubjectTerms	Control systems Full rank factorization Fuzzy systems Nonlinear systems norm bounded uncertainties Real-time systems switched controller switched fuzzy Lyapunov-like functions Switches Symmetric matrices Uncertainty
Title	Robust Static Output Feedback \mathcal \infty Control for Uncertain Takagi-Sugeno Fuzzy Systems
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