Performance Oriented Control over Networks -- Switching Controllers and Switched Time Delay --

The stability and performance of a networked control system (NCS) strongly depends on the communication quality, e.g. of the communication time delay. Aiming at performance oriented control over networks in the presence of piecewise constant time delay, two novel control approaches are investigated. In the first approach, the time delay is monitored and an appropriate controller is selected. The second approach is based on the quality-of-service communication concept, where the time delay is adjustable and related to the network cost. Aiming at an optimal trade-off between network cost and control performance the controller together with the time delay is switched. Both approaches result in a switched system with switched (piecewise constant) delays. Sufficient stability conditions for the resulting switched time delay system are presented using a piecewise continuous Lyapunov-Razumikhin function. A common Lyapunov function is derived for linear time-invariant symmetric subsystems. The performance benefits for both approaches are demonstrated in numerical examples

[1]  A. Michel,et al.  Stability theory for hybrid dynamical systems , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[2]  Stefan Pettersson,et al.  Analysis and Design of Hybrid Systems , 1999 .

[3]  Panos J. Antsaklis,et al.  An approach for solving general switched linear quadratic optimal control problems , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[4]  K. Narendra,et al.  A common Lyapunov function for stable LTI systems with commuting A-matrices , 1994, IEEE Trans. Autom. Control..

[5]  Min Tan,et al.  An approach to analyze the stability of a class of hybrid systems with delay , 2004, Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788).

[6]  Raymond A. DeCarlo,et al.  Optimal control of switching systems , 2005, Autom..

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

[8]  El-Kebir Boukas,et al.  Deterministic and Stochastic Time-Delay Systems , 2002 .

[9]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[10]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[11]  A. Michel,et al.  Stability and /spl Lscr//sub 2/ gain analysis for switched symmetric systems with time delay , 2003, Proceedings of the 2003 American Control Conference, 2003..

[12]  A. Morse Supervisory control of families of linear set-point controllers Part I. Exact matching , 1996, IEEE Trans. Autom. Control..

[13]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[14]  Vladimir L. Kharitonov,et al.  Stability of Time-Delay Systems , 2003, Control Engineering.

[15]  Qing-Yi Tong,et al.  Stability analysis of hybrid systems with time-varying delayed perturbations via single Lyapunov function , 2003, Proceedings of the 2003 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.03EX693).

[16]  R. Decarlo,et al.  Perspectives and results on the stability and stabilizability of hybrid systems , 2000, Proceedings of the IEEE.

[17]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[18]  Luonan Chen,et al.  Uniform asymptotic stability of hybrid dynamical systems with delay , 2003, IEEE Trans. Autom. Control..

[19]  R. Decarlo,et al.  Asymptotic stability of m-switched systems using Lyapunov functions , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[20]  Ali Karimpour,et al.  Stability in the network control systems , 2006 .

[21]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[22]  Y. Tipsuwan,et al.  Control methodologies in networked control systems , 2003 .

[23]  Peng Yan,et al.  Stability analysis of switched time-delay systems , 2008, 2008 47th IEEE Conference on Decision and Control.