TY - JOUR
T1 - Robust Static Output-Feedback Control of Stochastic Continuous Time-Delayed Systems
AU - Gershon, Eli
AU - Shaked, Uri
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2022/11/1
Y1 - 2022/11/1
N2 - In this article, a descriptor method is introduced for designing static output-feedback controllers for linear, continuous-time, retarded, stochastic systems that achieves a prescribed H∞ performance. A design solution is obtained for the uncertain case, where the parameters of the system matrices reside in a given polytope. The latter solution enables the derivation of the required constant output gain by solving a set of linear matrix inequalities that correspond to the vertices of the uncertainty polytope. The theory developed is also extended to the gain-scheduling case, and it is demonstrated by two examples. The first example compares various solution methods and the second is one of robust pitch control of an aircraft.
AB - In this article, a descriptor method is introduced for designing static output-feedback controllers for linear, continuous-time, retarded, stochastic systems that achieves a prescribed H∞ performance. A design solution is obtained for the uncertain case, where the parameters of the system matrices reside in a given polytope. The latter solution enables the derivation of the required constant output gain by solving a set of linear matrix inequalities that correspond to the vertices of the uncertainty polytope. The theory developed is also extended to the gain-scheduling case, and it is demonstrated by two examples. The first example compares various solution methods and the second is one of robust pitch control of an aircraft.
KW - Polytopic uncertainty
KW - robust control
KW - static output feedback
KW - stochastic systems
UR - http://www.scopus.com/inward/record.url?scp=85141477632&partnerID=8YFLogxK
U2 - 10.1109/TAC.2021.3135454
DO - 10.1109/TAC.2021.3135454
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AN - SCOPUS:85141477632
SN - 0018-9286
VL - 67
SP - 6167
EP - 6172
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 11
ER -