Analysis of networked control systems with drops and variable delays

Motivated by the insertion of a communication network in the feedback control loop, this paper focuses on how network-induced data dropouts and variable delays affect the stability of a linear plant with state feedback control. Sufficient conditions for Lyapunov stability are derived in the case of uncertainty due to drops and delays. The verification problem of the sufficient conditions can be directly cast as an LMI feasibility problem. We illustrate the methodology by an example in the cases of drops, delays and drops with delays.

[1]  Asok Ray,et al.  Integrated Communication and Control Systems: Part I—Analysis , 1988 .

[2]  Eric Rondeau,et al.  Confronting the performances of a switched Ethernet network with industrial constraints by using the network calculus , 2005, Int. J. Commun. Syst..

[3]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[4]  Y. Tipsuwan,et al.  Control methodologies in networked control systems , 2003 .

[5]  Eric Rondeau,et al.  Confronting the performances of a switched Ethernet network with industrial constraints by using the network calculus: Research Articles , 2005 .

[6]  Johan Nilsson,et al.  Real-Time Control Systems with Delays , 1998 .

[7]  Peter F. Al-Hokayem.  Stability Analysis of Networked Control Systems , 2003 .

[8]  Hong Ye,et al.  Scheduling of networked control systems , 2001 .

[9]  Stephen P. Boyd,et al.  Control of asynchronous dynamical systems with rate constraints on events , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[10]  John N. Tsitsiklis,et al.  A survey of computational complexity results in systems and control , 2000, Autom..

[11]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[12]  Karl Johan Åström,et al.  Computer-Controlled Systems: Theory and Design , 1984 .

[13]  James Moyne,et al.  Performance evaluation of control networks: Ethernet, ControlNet, and DeviceNet , 2001 .

[14]  Linda Bushnell,et al.  Stability analysis of networked control systems , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).