This paper consider the design approach of guaranteed cost control for discrete uncertain networked systems with time delay. A novel sliding mode manifold that can compensate time delay has been designed by introducing a discrete compensator. Then, a guaranteed cost controller is designed to make the sliding mode manifold stable. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.
HuJ., WangZ.D., DongH.L. and GaoH.J., Recent advances on recursive filtering and sliding mode design for networked nonlinear stochastic systems: A survey, Mathematical Problems in Engineering2013(2013) 646059.
2.
WalshG.C., YeH. and BushnellL.G., Stability analysis of networked control systems, IEEE Trans. on Control Systems Technology10(3) (2002), 438–446.
3.
ZhangW., BranickyM.S. and PhilipsS.M., Stability of networked control systems, IEEE Trans on Control Systems21(2) (2001), 84–99.
4.
HuJ., WangZ.D., ShenB. and GaoH.J., Gain-constrained recursive filtering with stochastic nonlinearities and probabilistic sensor delays, IEEE Transactions on Signal Processing61(5) (2013), 1230–1238.
5.
ZhangJ., GuoP.F., LyuM., KarimiH.R. and BoY.M., Fault detection for wireless network control systems with stochastic uncertainties and time delays, Abstract and Applied Analysis2014(2014), Article ID 250314, 9 pages.
6.
HuJ., WangZ.D. and GaoH.J., Recursive filtering with random parameter matrices, multiple fading measurements and correlated noises, Automatica49(11) (2013), 3440–3448.
7.
YueD. and HanQ.L., State feedback controller design of networked control systems, IEEE Trans Circuits System51(2004), 640–644.
8.
ParkH., KimY. and KimD., A scheduling method for network based control systems, IEEE Trans on Control Systems Technology10(3) (2002), 318–330.
9.
ZhivoglyadovP.V. and MiddletonR.H., Networked control design for linear systems, Automatica39(4) (2002), 743–750.
10.
YueD. and HanQ.L., Networked-based robust H∞ control of systems with uncertainty, Automatica41(6) (2005), 999–1007.
11.
HuJ., ChenD.Y. and DuJ.H., State estimation for a class of discrete nonlinear systems with randomly occurring uncertainties and distributed sensor delays, International Journal of General Systems43(3-4) (2014), 387–401.
12.
GuoP.F., ZhangJ., KarimiH.R., LiuY.R., LyuM. and BoY.M., State estimation for wireless network control system with stochastic uncertainty and time delay based on sliding mode observer, Abstract and Applied Analysis2014(2014), Article ID 303840, 8 pages.
13.
HuJ., WangZ.D., ShenB. and GaoH.J., Quantised recursive filtering for a class of nonlinear systems with multiplicative noises and missing measurements, International Journal of Control86(4) (2013), 650–663.
14.
JiangX.F. and HanQ.L., A new H∞ stabilization criterion for networked control systems, IEEE Trans. on Automatic Control53(4) (2008), 1025–1032.
15.
YanH.C. and HuangX.H., Delay-dependent stability criteria for a class of networked control systems with multi-input and multi-output, Chaos, Solitons and Fractals34(2007), 997–1005.
16.
GaoH.J., ChenT.W. and LamJ., A new delay system approach to network-based control, Automatica44(2008), 39–52.
17.
ChenX.K., Adaptive sliding mode control for discrete-time multip-input multip-output systems, Automatica42(2006), 427–435.
18.
YaoH.J., LianY.Y. and YuanF.S., Sliding mode control for uncertain discrete large-scale systems with delays and unmatched, Journal of Applied Sciences13(11) (2013), 1948–1953.
19.
HuaC.C., GuanX.P. and DuanG., Variable structure adaptive fuzzy control for a class of nonlinear time-delay systems, Fuzzy Sets and Systems148(2004), 453–468.
20.
YuF.M., ChungH.Y. and ChenS.Y., Fuzzy sliding mode controller design for uncertain time-delayed systems with nonlinear input, Fuzzy Sets and Systems140(2003), 359–374.
21.
KauS.W. and LiuY.S., A new LMI condition for robust stability of discrete-time uncertain systems, Syst Contr Lett54(2005), 1195–1203.
22.
LiW.L. and YaoH.J., Adaptive fuzzy sliding mode control for a class of nonlinear time-delay systems, Journal of Henan Normal University34(2006), 14–17.
23.
YaoH.J. and YuanF.S., Variable structure control (VSC) for a class of uncertain discrete-time large-scale systems with delays, Advances in Modelling, C Automatic Control (theory and applications)66(1-2) (2011), 56–66.
24.
JanardhananS., BandyopadhgayB. and ThakarV.K., Discrete-time output feedback sliding mode control for time-delay systems with uncertainty, Proceedings of the 2004 IEEE International Conference on Control Applications, Taipei, Taiwan, September2-4, 2004, pp. 395–403.
25.
MiY. and JingY.W., Sliding mode control for time-delay discrete systems with unmatched uncertainty, Control Engineering of China13(6) (2006), 560–562.
26.
MiY., HuangJ.X. and LiW.L., Variable structure control for multi-input discrete systems with control delay, Control and Decision21(21) (2006), 1425–1428.
27.
ZhangX.Z., DengZ.M. and GaoC.C., Quasi-sliding mode VSC for discrete linear constant system with time delay, Acta Automatica Snica28(4) (2002), 625–630.
28.
FangL.H. and WuZ.Z., Sliding mode variable structure control of networked control system, Proceedings of the IEEE International Conference on Automation and Logistics2007, pp. 18–21.
