Event-based LQG Control over Networks with Random Transmission Delays and Packet Losses

Abstract In Networked Control Systems (NCS), data networks not only limit the amount of information exchanged by system components but are also subject to stochastic packet delays and losses. In this paper, we present a controller that simultaneously addresses these problems by combining event-based and sequence-based control methods. At every time step, the proposed controller calculates a sequence of predicted control inputs and based on the expected future LQG costs decides whether it transmits the control sequence to the actuator. The proposed controller is evaluated with simulations.

[1]  Randy Cogill,et al.  Event-based control using quadratic approximate value functions , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[2]  D.E. Quevedo,et al.  Packetized Predictive Control over Erasure Channels , 2007, 2007 American Control Conference.

[3]  Luca Schenato,et al.  Optimal Estimation in Networked Control Systems Subject to Random Delay and Packet Drop , 2008, IEEE Transactions on Automatic Control.

[4]  Jan Lunze,et al.  Event-based control with communication delays and packet losses , 2012, Int. J. Control.

[5]  K. Åström,et al.  Comparison of Riemann and Lebesgue sampling for first order stochastic systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[6]  Alberto Bemporad,et al.  Predictive control of teleoperated constrained systems with unbounded communication delays , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[7]  Yun-Bo Zhao,et al.  Packet-Based Control for Networked Control Systems , 2008 .

[8]  Panos J. Antsaklis,et al.  Special Issue on Technology of Networked Control Systems , 2007 .

[9]  Te-son Kuo,et al.  Trace bounds on the solution of the algebraic matrix Riccati and Lyapunov equation , 1986 .

[10]  Uwe D. Hanebeck,et al.  Sequence-based control for networked control systems based on virtual control inputs , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[11]  João Pedro Hespanha,et al.  A Survey of Recent Results in Networked Control Systems , 2007, Proceedings of the IEEE.

[12]  W. P. M. H. Heemels,et al.  Model-based periodic event-triggered control for linear systems , 2013, Autom..

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

[14]  Sebastian Trimpe,et al.  Event-Based State Estimation With Variance-Based Triggering , 2012, IEEE Transactions on Automatic Control.

[15]  Jürgen Pannek,et al.  A prediction based control scheme for networked systems with delays and packet dropouts , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[16]  Bruno Sinopoli,et al.  Foundations of Control and Estimation Over Lossy Networks , 2007, Proceedings of the IEEE.

[17]  Rolf Findeisen,et al.  Event-based model predictive control for Networked Control Systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[18]  Uwe D. Hanebeck,et al.  State estimation in Networked Control Systems , 2012, 2012 15th International Conference on Information Fusion.

[19]  Uwe D. Hanebeck,et al.  Optimal sequence-based LQG control over TCP-like networks subject to random transmission delays and packet losses , 2013, 2013 American Control Conference.

[20]  Eloy García,et al.  Model-Based Event-Triggered Control for Systems With Quantization and Time-Varying Network Delays , 2013, IEEE Transactions on Automatic Control.

[21]  Bruno Sinopoli,et al.  Receding Horizon Networked Control , 2006 .

[22]  Jan Lunze,et al.  A state-feedback approach to event-based control , 2010, Autom..