Full Text:   <1383>

CLC number: O231.5

On-line Access: 

Received: 2003-09-30

Revision Accepted: 2003-11-16

Crosschecked: 0000-00-00

Cited: 1

Clicked: 3019

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE A 2004 Vol.5 No.7 P.841~850


Delay-dependent robust H control for a class of uncertain switched systems with time delay

Author(s):  SHI Jia, WU Tie-jun, DU Shu-xin

Affiliation(s):  National Key Lab for Industrial Control Technology; more

Corresponding email(s):   jshi@iipc.zju.edu.cn, kejshi@ust.hk

Key Words:  Linear switched systems, Robust H&infin, control, Matrix inequality, Time delay

Share this article to: More

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",
publisher="Zhejiang University Press & Springer",

%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

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

For linear switched system with both parameter uncertainties and time delay, a delay-dependent sufficient condition for the existence of a new robust H&infin; 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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1] Boyd, S., Ghaoui, L.E., Feron, E., Balakrishnan, V., 1994. Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia, PA.

[2] Cao, Y.Y., Sun, Y.X., Lam, J., 1998. Delay-dependent robustH

[3] Feng, G., 2002. Controller design and analysis of uncertain piecewise-linear systems.IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications,49(2):224-232.

[4] Hassibi, A., Boyd, S.P., How, J.P., 1999. A Class of Lyapunov Functionals for Analyzing Hybrid Dynamical Systems. Proceedings of ACC, San Diego, California, p.2455-2460.

[5] Hassibi, A., 2000. Lyapunov Methods in the Analysis of Complex Dynamical Systems. Ph.D dissertation, Stanford University, USA, p.10-36.

[6] Lennartson, B., Egardt, B., Tittus, M., 1994. Hybrid Systems in Process Control. Proceedings of the 33th IEEE International CDC, Lake Buena Vista, FL, p.3587-3592.

[7] Lee, S.H., Kim, T.H., Lim, J.T., 2000. A new stability analysis of switched systems.Automatic,36:917-922.

[8] Li, Z., Shao, H., Wang, J., 2001. Dissipative control for linear time-delay systems.Control Theory and Applications,18(6):838-842.

[9] Luo, R.C., Su, K.L., Shen, S.H., Tsai, K.H., 2003. Networked intelligent robot through the internet: issues and opportunities.Proceedings of IEEE,91(3):371-382.

[10] Moon, Y.S., Park, P., Kwon, W.H., 2001. Delay-dependent robust stabilization of uncertain state-delayed systems.International Journal of Control,74(14):1447-1455.

[11] Skafidas, E., Evans, R.J., Savkin, A.V., Petersen, I.R., 1999. Stability results for switched controller systems.Automatic,35:553-564.

[12] Walsh, G.C., Ye, H., Bushnell, L., 1999. Stability Analysis of Networked Control Systems. Proceedings of American Control Conference, San Diego, CA, p.2876-2880.

[13] Zhang, W., Branicky, M.S., Phillips, S.M., 2001. Stability of Networked Control Systems. IEE Control Systems Magazine, p.84-99.

Open peer comments: Debate/Discuss/Question/Opinion


Please provide your name, email address and a comment

Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE