TY - JOUR
T1 - Invariance of a class of semi-algebraic sets for polynomial systems with dynamic compensators
AU - Yuno, Tsuyoshi
AU - Zerz, Eva
AU - Ohtsuka, Toshiyuki
N1 - Funding Information:
This work was supported by JSPS, Japan KAKENHI Grant Numbers JP16K18120 , JP15H02257 . The material in this paper was partially presented at: the 10th IFAC Symposium on Nonlinear Control Systems, August 23–25, 2016, Monterey, CA, USA; the 60th Japan Joint Automatic Control Conference, November 10–12, 2017, Tokyo, Japan. This paper was recommended for publication in revised form by Associate Editor Laura Menini under the direction of Editor Daniel Liberzon.
Publisher Copyright:
© 2020 Elsevier Ltd
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/12
Y1 - 2020/12
N2 - We derive a constructive sufficient condition for the existence of a compensator such that a prescribed semi-algebraic set is invariant for the resulting closed-loop system. The construction procedure consists of symbolic computations. Although the target system is restricted to polynomial control systems, non-polynomial smooth compensators can be designed. We also derive the procedure for extracting static controllers from the set of dynamic compensators. Moreover, we explain the similarities and differences between our method and the conventional slack-variable method of Jacobson and Lele (1969).
AB - We derive a constructive sufficient condition for the existence of a compensator such that a prescribed semi-algebraic set is invariant for the resulting closed-loop system. The construction procedure consists of symbolic computations. Although the target system is restricted to polynomial control systems, non-polynomial smooth compensators can be designed. We also derive the procedure for extracting static controllers from the set of dynamic compensators. Moreover, we explain the similarities and differences between our method and the conventional slack-variable method of Jacobson and Lele (1969).
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U2 - 10.1016/j.automatica.2020.109243
DO - 10.1016/j.automatica.2020.109243
M3 - Article
AN - SCOPUS:85091678154
SN - 0005-1098
VL - 122
JO - Automatica
JF - Automatica
M1 - 109243
ER -