Adaptive stabilization of Model-Based Networked Control Systems

In this paper Model Based Networked Control Systems (MB-NCS) are considered and on-line identification of system parameters in state space representation is used to upgrade the model and the controller of the system. The updated model is used to control the real system when feedback information is unavailable. The Extended Kalman Filter (EKF) is analyzed in the context of parameter identification and implemented in the MB-NCS framework. Emphasis is placed on global asymptotic estimators for the case when sensors provide noiseless measurements of the state of a linear system; it can be shown that the identification of parameters in this case is a linear problem, in contrast to the nonlinear combined state- parameter estimation problem. We propose new estimation models that offer better convergence properties than the EKF in this case. This estimation strategy is also applied to the MB- NCS framework resulting in a better usage of the network by allowing longer intervals without need for a measurement update.

[1]  J. Grizzle,et al.  The Extended Kalman Filter as a Local Asymptotic Observer for Nonlinear Discrete-Time Systems , 1992, 1992 American Control Conference.

[2]  Pravin Varaiya,et al.  Stochastic Systems: Estimation, Identification, and Adaptive Control , 1986 .

[3]  E. Stear,et al.  The simultaneous on-line estimation of parameters and states in linear systems , 1976 .

[4]  G. Kreisselmeier Adaptive observers with exponential rate of convergence , 1977 .

[5]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[6]  Panos J. Antsaklis,et al.  A Linear Systems Primer , 2007 .

[7]  Eloy García,et al.  Model-based event-triggered control with time-varying network delays , 2011, IEEE Conference on Decision and Control and European Control Conference.

[8]  Rudolph van der Merwe,et al.  The square-root unscented Kalman filter for state and parameter-estimation , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[9]  Dawn M. Tilbury,et al.  The Emergence of Industrial Control Networks for Manufacturing Control, Diagnostics, and Safety Data , 2007, Proceedings of the IEEE.

[10]  P.J. Antsaklis,et al.  Stability of discrete-time plants using model-based control with intermittent feedback , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[11]  P.J. Antsaklis,et al.  Model-Based Control with Intermittent Feedback , 2006, 2006 14th Mediterranean Conference on Control and Automation.

[12]  J. Grizzle,et al.  The Extended Kalman Filter as a Local Asymptotic Observer for Nonlinear Discrete-Time Systemsy , 1995 .

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

[14]  Karl Johan Åström,et al.  BOOK REVIEW SYSTEM IDENTIFICATION , 1994, Econometric Theory.

[15]  Richard A. Brown,et al.  Introduction to random signals and applied kalman filtering (3rd ed , 2012 .

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

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

[18]  R. Kopp,et al.  LINEAR REGRESSION APPLIED TO SYSTEM IDENTIFICATION FOR ADAPTIVE CONTROL SYSTEMS , 1963 .

[19]  T. Westerlund,et al.  Remarks on "Asymptotic behavior of the extended Kalman filter as a parameter estimator for linear systems" , 1980 .

[20]  Dan Simon,et al.  Optimal State Estimation: Kalman, H∞, and Nonlinear Approaches , 2006 .

[21]  Panos J. Antsaklis,et al.  Stability of model-based networked control systems with time-varying transmission times , 2004, IEEE Transactions on Automatic Control.

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