Improved H_∞ control for networked control systems with network-induced delay and packet dropout

Abstract

The H_∞ performance analysis and controller design for linear networked control systems (NCSs) are presented. The NCSs are considered a linear continuous system with time-varying interval input delay by assuming that the sensor is time-driven and the logic Zero-order-holder (ZOH) and controller are event-driven. Based on this model, the delay interval is divided into two equal subintervals for H_∞ performance analysis. An improved H_∞ stabilization condition is obtained in linear matrix inequalities (LMIs) framework by adequately considering the information about the bounds of the input delay to construct novel Lyapunov–Krasovskii functionals (LKFs). For the purpose of reducing the conservatism of the proposed results, the bounds of the LKFs differential cross terms are properly estimated without introducing any slack matrix variables. Moreover, the H_∞ controller is reasonably designed to guarantee the robust asymptotic stability for the linear NCSs with an H_∞ performance level γ. Numerical simulation examples are included to validate the reduced conservatism and effectiveness of our proposed method.

Keywords

H_∞ performance / networked control systems / packet dropout / network-induced delay

References

[1] ZhangL-x, GaoH-j, KaynakO. Network-induced constraints in networked control systems—A survey [J]. IEEE Transactions on Industrial Informatics, 2013, 9(1): 403-416

[2] LiuG-ping. Design and analysis of networked non-linear predictive control systems [J]. IET Control Theory Applications, 2015, 9(11): 740-745

[3] HuangC, GuiW-h, YangC-hua. Design of decoupling smith control for multivariable system with time delays [J]. Journal of Central South University, 2011, 18(2): 473-478

[4] ZhangX-x, JiangX-fu. An improved stability criterion of networked control systems. Proceedings of American Control Conference, 2010586-589

[5] LiC, LiuS-feng. A stochastic network model for ordering analysis in multi-stage supply chain systems [J]. Simulation Modelling Practice and Theory, 2012, 22(3): 92-108

[6] LiuK, FridmanE. Network-based stabilization via discontinuous Lyapunov functional [J]. International Journal of Robust and Nonlinear Control, 2012, 22(4): 420-436

[7] DeaectoG S, SouzaM, GeromelJ C. Discretetime switched linear systems state feedback design with application to networked control [J]. IEEE Transactions on Automatic Control, 2015, 60(3): 877-881

[8] LiuK, FridmanE, HetelL. Network-based via a novel analysis of hybrid systems with time-varying delays. Proceedings of 51st Annual Conference on Decision and Control, 2012Hawaii, USAACDC3886-3891

[9] GeX-h, JiangX-fu. A new robust stability criterion of networked control systems. Proceedings of 8th World Conference on Intelligent Control and Automation, 2010Ji’nanChina2855-2860

[10] ChenG, ZhuH-q, YangC-h, HuC-hua. State feedback control for Lurie networked control systems [J]. Journal of Central South University, 2012, 19(8): 3510-3519

[11] XiongJ-l, LamJ. Stabilization of networked control systems with a logic ZOH [J]. IEEE Transactions on Automatic Control, 2009, 54(2): 358-363

[12] SunJ-d, JiangJ-ping. Delay and data packet dropout separately related stability and state feedback stabilization of networked control systems [J]. IET Control Theory Applications, 2013, 7(3): 333-342

[13] LiB, WuJ-feng. A new delay-dependent stability criteria for networked control systems [J]. Journal of Theoretical and Applied Information Technology, 2012, 43(1): 127-132

[14] HuS-l, YueD, PengC, XieX-p, YinX-xia. Event-triggered controller design of nonlinear discrete-time networked control systems in T-S fuzzy model [J]. Applied Soft Computing, 2015, 30: 400-411

[15] YangF-w, WangZ-d, HungY S, GaniM. H_∞ control for networked systems with random communication delays [J]. IEEE Transactions on Automatic Control, 2006, 51(3): 511-518

[16] HuaC-c, YuS-c, GuanX-ping. A robust H_∞ control approach for a class of networked control systems with sampling jitter and packet-dropout [J]. International Journal of Control, Automation and Systems, 2014, 12(4): 759-768

[17] ZhuX-l, YangG-hong. Network-based robust H_∞ control of continuous-time systems with uncertainty [J]. Asian Journal of Control, 2009, 11(1): 21-30

[18] DuZ-p, YueD, HuS-lin. H-infinity stabilization for singular networked cascade control systems with state delay and disturbance [J]. IEEE Transactions on Industrial Informatics, 2014, 10(2): 882-894

[19] ZhuQ-x, XieB-b, ZhuY-hong. H_∞ control for multi-rate networked control systems with both time-delay and packet-dropout. Proceedings of 26th Chinese Control and Decision Conf, 2014Changsha, ChinaCCDC1983-1988

[20] YueD, HanQ-l, LamJ. Network-based robust H_∞ control of systems with uncertainty [J]. Automatic, 2005, 41(6): 999-1007

[21] GaoH-j, ChenT-w, LamJ. A new delay system approach to network-based control [J]. Automatic, 2008, 44(1): 39-52

[22] JiangX-f, HanQ-l, LiuS-r, XueA-ke. A new H_∞ stabilization criterion for networked control systems [J]. IEEE Transactions on Automatic Control, 2008, 53(4): 1025-1032

[23] GuK Q. An integral in equality in the stability problem of timedelay system. Proceedings of 39th IEEE Conference on Decision and Control, 2000SydneyIEEE2805-2810

[24] ShaoH-yong. New Delay-dependent stability criteria for systems with interval delay [J]. Automatic, 2009, 45(3): 744-749

[25] PengC, TianY-chun. Improved delay-dependent robust stability criteria for uncertain systems with interval time-varying delay [J]. IET Control Theory Applications, 2008, 2(9): 752-760

[26] WangY-l, YangG-hong. H_∞ control of networked control systems with delay and packet disordering via predictive method. Proceedings of American Control Conference, 2007USAACC1021-1026