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CLC number: O231.5
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Received: 2003-09-30
Revision Accepted: 2003-11-16
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Delay-dependent robust H∞ control for a class of uncertain switched systems with time delay
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SHI Jia, WU Tie-jun, DU Shu-xin. Delay-dependent robust H∞ control for a class of uncertain switched systems with time delay[J]. Journal of Zhejiang University Science A, 2004, 5(7): 841-850.
@article{title="Delay-dependent robust H∞ control for a class of uncertain switched systems with time delay",
author="SHI Jia, WU Tie-jun, DU Shu-xin",
journal="Journal of Zhejiang University Science A",
volume="5",
number="7",
pages="841-850",
year="2004",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2004.0841"
}
%0 Journal Article
%T Delay-dependent robust H∞ control for a class of uncertain switched systems with time delay
%A SHI Jia
%A WU Tie-jun
%A DU Shu-xin
%J Journal of Zhejiang University SCIENCE A
%V 5
%N 7
%P 841-850
%@ 1869-1951
%D 2004
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2004.0841
TY - JOUR
T1 - Delay-dependent robust H∞ control for a class of uncertain switched systems with time delay
A1 - SHI Jia
A1 - WU Tie-jun
A1 - DU Shu-xin
J0 - Journal of Zhejiang University Science A
VL - 5
IS - 7
SP - 841
EP - 850
%@ 1869-1951
Y1 - 2004
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2004.0841
Abstract: For linear switched system with both parameter uncertainties and time delay, a delay-dependent sufficient condition for the existence of a new robust H∞ feedback controller was formulated in nonlinear matrix inequalities solvable by an LMI-based iterative algorithm. Compared with the conventional state-feedback controller, the proposed controller can achieve better robust control performance since the delayed state is utilized as additional feedback information and the parameters of the proposed controllers are changed synchronously with the dynamical characteristic of the system. This design method was also extended to the case where only delayed state is available for the controller. The example of balancing an inverted pendulum on a cart demonstrates the effectiveness and applicability of the proposed design methods.
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