TY - JOUR
T1 - Robust H2/H∞ control for time-delay systems with polytopic uncertainty
AU - Sun, Man
AU - Jia, Yingmin
AU - Du, Junping
AU - Yu, Fashan
PY - 2009/1
Y1 - 2009/1
N2 - In this paper, new separated H∞ and H2 performance criteria are derived for a class of time-delay systems. When used in robust performance analysis and synthesis for real polytopic uncertainty and in multiobjective controller synthesis, they can partially rule out the technical restriction of using a single Lyapunov function, and therefore, lead to potentially less conservative linear matrix inequality (LMI) characterizations. Based on the criteria, robust multiobjective H2/H∞ controller is designed for time-delay systems with polytopic uncertainty. All the conditions are given in terms of LMIs. Numerical examples are given to illustrate the proposed method.
AB - In this paper, new separated H∞ and H2 performance criteria are derived for a class of time-delay systems. When used in robust performance analysis and synthesis for real polytopic uncertainty and in multiobjective controller synthesis, they can partially rule out the technical restriction of using a single Lyapunov function, and therefore, lead to potentially less conservative linear matrix inequality (LMI) characterizations. Based on the criteria, robust multiobjective H2/H∞ controller is designed for time-delay systems with polytopic uncertainty. All the conditions are given in terms of LMIs. Numerical examples are given to illustrate the proposed method.
KW - Linear matrix inequalities
KW - Multiobjective H/H control
KW - Polytopic uncertainty
KW - Time-delay
UR - https://www.scopus.com/pages/publications/65549165818
U2 - 10.1002/asjc.75
DO - 10.1002/asjc.75
M3 - 文章
AN - SCOPUS:65549165818
SN - 1561-8625
VL - 11
SP - 11
EP - 20
JO - Asian Journal of Control
JF - Asian Journal of Control
IS - 1
ER -