Modeling and Controller Design for a Class of MIMO Networked Control Systems

This paper introduces a new NCS framework protocol, in which the plant and controller forgo the use of ZOHs, and instead choose to "ignore" the actuators and sensors that are not actively communicating. "Communication sequences" are used to describe the instantaneous medium access status of the sensors and actuators. The effect of medium access constraints can be modeled by cascading the underlying plant with a pair of "communication sequence matrices". We study the stabilization of NCSs under periodic medium access scheduling. One can always find (via a simple algorithm) periodic communication sequences that preserve the reachability and observability of a reversible linear plant. Using these effective communication sequences, an NCS can be exponentially stabilized by an observer-based controller.

[1]  Dong Yue,et al.  Robust stabilization of uncertain systems with unknown input delay , 2004, Autom..

[2]  Roger W. Brockett,et al.  Stabilization of motor networks , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[3]  Hu Shousong,et al.  Brief Stochastic optimal control and analysis of stability of networked control systems with long delay , 2003 .

[4]  Kristi A. Morgansen,et al.  Limited communication control , 1999 .

[5]  D. Hristu-Varsakelis Feedback control systems as users of a shared network: communication sequences that guarantee stability , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[6]  Wei Zhang,et al.  Scheduling and feedback co-design for networked control systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

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

[8]  J. Nilsson,et al.  Timing problems in real-time control systems , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[9]  Qixin Zhu,et al.  Stochastic optimal control and analysis of stability of networked control systems with long delay , 2003, Autom..