On the model-based networked control for singularly perturbed systems with nonlinear uncertainties

The model-based networked control for a class of singularly perturbed control systems with nonlinear uncertainties is addressed in this paper. The approximate slow and fast systems of the plant, which are obtained by omitting the nonlinear uncertainties, are used as a model to estimate the state behavior of the plant between transmission times. The stability of model-based networked control systems is investigated under the assumption that the controller/actuator is updated with the sensor information at constant time intervals. It is shown that there exists the allowable upper bound of the singular perturbation parameter such that the model-based networked control system is global exponentially stable.

[1]  M. E. Sawan,et al.  Stabilisation of uncertain singularly perturbed systems , 2006 .

[2]  P. Dorato,et al.  Model-based networked control for nonlinear systems with stochastic packet dropout , 2005, Proceedings of the 2005, American Control Conference, 2005..

[3]  Yu Hongwang,et al.  On Model-Based Networked Control for Singularly Perturbed Systems , 2007, 2007 IEEE International Conference on Control and Automation.

[4]  Andrey V. Savkin,et al.  Optimal control of networked systems via asynchronous communication channels with irregular delays , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[5]  Dong Yue,et al.  State feedback controller design of networked control systems , 2004, IEEE Transactions on Circuits and Systems II: Express Briefs.

[6]  Dragan Nesic,et al.  Input-to-state stability of networked control systems , 2004, Autom..

[7]  Hassan K. Khalil,et al.  Singular perturbation methods in control : analysis and design , 1986 .

[8]  Panos J. Antsaklis,et al.  MODEL-BASED NETWORKED CONTROL SYSTEMS – NECESSARY AND SUFFICIENT CONDITIONS FOR STABILITY , 2002 .

[9]  Wang Zhiming,et al.  On model-based networked control of singularly perturbed systems , 2008, 2008 27th Chinese Control Conference.

[10]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[11]  Dragan Nesic,et al.  A unified framework for input-to-state stability in systems with two time scales , 2003, IEEE Trans. Autom. Control..

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

[13]  Z. H. Shao.  Robust stability of two-time-scale systems with nonlinear uncertainties , 2004, IEEE Transactions on Automatic Control.

[14]  Richard H. Middleton,et al.  Networked control design for linear systems , 2003, Autom..

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

[16]  A. Teel,et al.  A note on input-to-state stability of networked control systems , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).