TY - GEN
T1 - Generalized H2 control of linear neutral time-delay systems
AU - Liu, Hongliang
AU - Duan, Guangren
PY - 2006
Y1 - 2006
N2 - This paper considers the generalized H2 control problem of linear neutral time-delay systems. The linear neutral time-delay system can be viewed a kind of hybrid systems, since it is a difference-differential system. So it can include the linear time-delay system, and has its own characteristic. Through studying the generalized H2 control problem, we wish to provide a new way to study the linear neutral time-delay systems. By Lyapunov-Krasovskii functions, this paper applies the LMI technology to give a criterion of L2 - L∞ index for linear neutral time-delay systems, proposes a sufficient condition of the existence of L 2 - L∞ control for this kind of system and provides the design of the optimal L2 - L∞ controller for the linear neutral time-delay systems. The result of this paper can be applied to study the uncertain linear neutral time-delay systems. A numerical example shows the potential of the method proposed in this paper.
AB - This paper considers the generalized H2 control problem of linear neutral time-delay systems. The linear neutral time-delay system can be viewed a kind of hybrid systems, since it is a difference-differential system. So it can include the linear time-delay system, and has its own characteristic. Through studying the generalized H2 control problem, we wish to provide a new way to study the linear neutral time-delay systems. By Lyapunov-Krasovskii functions, this paper applies the LMI technology to give a criterion of L2 - L∞ index for linear neutral time-delay systems, proposes a sufficient condition of the existence of L 2 - L∞ control for this kind of system and provides the design of the optimal L2 - L∞ controller for the linear neutral time-delay systems. The result of this paper can be applied to study the uncertain linear neutral time-delay systems. A numerical example shows the potential of the method proposed in this paper.
KW - Asymptotically stable
KW - Generalized H control
KW - Linear matrix inequalities (LMIs)
KW - Neutral systems
UR - https://www.scopus.com/pages/publications/34047233657
U2 - 10.1109/WCICA.2006.1712780
DO - 10.1109/WCICA.2006.1712780
M3 - 会议稿件
AN - SCOPUS:34047233657
SN - 1424403324
SN - 9781424403325
T3 - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
SP - 2349
EP - 2352
BT - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
T2 - 6th World Congress on Intelligent Control and Automation, WCICA 2006
Y2 - 21 June 2006 through 23 June 2006
ER -