Open AccessDissipative control for uncertain singular markovian jump systems via hybrid impulsive control
Author(s) -
Hui Lv,
Xingan Wang
Publication year - 2021
Publication title -
numerical algebra, control and optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.303
H-Index - 20
eISSN - 2155-3289
pISSN - 2155-3297
DOI - 10.3934/naco.2020020
Subject(s) - dissipative system , control theory (sociology) , mathematics , jump , control (management) , linearization , controller (irrigation) , computer science , nonlinear system , physics , artificial intelligence , quantum mechanics , agronomy , biology
This paper investigates the problem of dissipative control for a class of uncertain singular Markovian jump systems. Different from the traditional control strategy, a derivative gain and impulsive control part are added in the proposed controller. A linearization approach via congruence transformations is proposed to solve the feedback design problem. In addition, the derived results contain \begin{document}$ H_{\infty} $\end{document} and passive control as special cases. Finally, examples are provided to illustrate the effectiveness and applicability of the proposed methods.