Model-Based Control Systems: Stability

In this chapter we lay the foundations for the type of networked architecture that we call Model-Based Networked Control System (MB-NCS). We also provide a thorough analysis of MB-NCS with state feedback and periodic updates (represented by h). The focus of the chapter is in obtaining conditions that result in a stable networked system. Stabilization depends on the chosen control gain, the accuracy of the model, and the update interval. We derive necessary and sufficient stabilizing conditions for both continuous and discrete-time linear time-invariant systems.

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

[2]  Panos J. Antsaklis,et al.  On the model-based control of networked systems , 2003, Autom..

[3]  Alberto Bemporad,et al.  Energy-aware robust Model Predictive Control based on wireless sensor feedback , 2008, 2008 47th IEEE Conference on Decision and Control.

[4]  Panos J. Antsaklis,et al.  Model-Based Control using a lifting approach , 2010, 18th Mediterranean Conference on Control and Automation, MED'10.

[5]  Bruce A. Francis,et al.  Optimal Sampled-Data Control Systems , 1996, Communications and Control Engineering Series.

[6]  Panagiotis D. Christofides,et al.  Model-based control of nonlinear systems subject to sensor data losses: A chemical process case study , 2007, 2007 46th IEEE Conference on Decision and Control.

[7]  Yufan Zheng,et al.  On the model-based networked control for singularly perturbed systems , 2008 .

[8]  B. Francis,et al.  A lifting technique for linear periodic systems with applications to sampled-data control , 1991 .

[9]  Patrizio Colaneri,et al.  Invariant representations of discrete-time periodic systems , 2000, Autom..

[10]  J. Lunze,et al.  Event-based control using quantized state information , 2010 .

[11]  Panos J. Antsaklis,et al.  State and output feedback control in model-based networked control systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[12]  Francisco R. Rubio,et al.  Model-based networked control systems under parametric uncertainties , 2009, 2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC).

[13]  Leonid Mirkin,et al.  Discrete-time lifting via implicit descriptor systems , 1999, 1999 European Control Conference (ECC).

[14]  Daniel Lehmann,et al.  Event-based output-feedback control , 2011, 2011 19th Mediterranean Conference on Control & Automation (MED).

[15]  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.

[16]  Katsuhisa Furuta,et al.  Internal model and saturating actuation in human operation from view of human-adaptive mechatronics , 2005, IEEE Transactions on Industrial Electronics.

[17]  Thomas Kailath,et al.  Linear Systems , 1980 .

[18]  K. Furuta,et al.  Analysis of intermittent control systems by human operations , 2005, 31st Annual Conference of IEEE Industrial Electronics Society, 2005. IECON 2005..

[19]  Luis A Montestruque.  Model-Based Networked Control Systems , 2004 .

[20]  Bernard Friedland,et al.  Control System Design: An Introduction to State-Space Methods , 1987 .

[21]  Xiang Chen,et al.  A model predictive control approach to networked systems , 2007, 2007 46th IEEE Conference on Decision and Control.

[22]  Long Wang,et al.  An improved model-based control scheme for networked systems , 2004, 2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583).