Stabilization of networked pi control system using fuzzy logic modulation

AbslractDespite of many advantages of using network in closed-loor, control systems to do remote control and automation, the adverse effects such as performance degradation and system destabilization due to network-induced time delay are a maior concern in networked control system design. In this paper, we will consider the problem of stabilizing the nehvorked PI control system using fuzzy logic modulation. Using a version of the Hermite-Biehler Theorem applicable to qunsipolynomials, a complete analytical characterizations of all stabilizing fuzzy logic modulator parameter values to stabilize the networked PI control system is provided. Numerical simulation of a network-based controlled DC motor is used to illustrate the proposed work.

[1]  Y. Tipsuwan,et al.  Network-based controlled DC motor with fuzzy compensation , 2001, IECON'01. 27th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.37243).

[2]  Shankar P. Bhattacharyya,et al.  New results on the synthesis of PID controllers , 2002, IEEE Trans. Autom. Control..

[3]  M. Branicky.  Stability of hybrid systems: state of the art , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[4]  Shankar P. Bhattacharyya,et al.  Stabilization of time delay systems , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[5]  Jason T. Teeter,et al.  A novel fuzzy friction compensation approach to improve the performance of a DC motor control system , 1996, IEEE Trans. Ind. Electron..

[6]  Hong Ye,et al.  Scheduling of networked control systems , 2001 .

[7]  M. Wargui,et al.  Effect of network induced delay on the stability of an autonomous mobile robot , 1997, Proceedings of the IECON'97 23rd International Conference on Industrial Electronics, Control, and Instrumentation (Cat. No.97CH36066).

[8]  Mohamed Tadjine,et al.  On the stability of an autonomous mobile robot subject to network induced delay , 1997, Proceedings of the 1997 IEEE International Conference on Control Applications.

[9]  Linda Bushnell,et al.  Asymptotic behavior of nonlinear networked control systems , 2001, IEEE Trans. Autom. Control..

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

[11]  Wei Zhang,et al.  Stability of networked control systems: explicit analysis of delay , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[12]  Shankar P. Bhattacharyya,et al.  Generalizations of the Hermite–Biehler theorem , 1999 .

[13]  Mo-Yuen Chow,et al.  PI parameterization using adaptive fuzzy modulation (AFM) for networked control systems. I. Partial adaptation , 2002, IEEE 2002 28th Annual Conference of the Industrial Electronics Society. IECON 02.

[14]  Mo-Yuen Chow,et al.  PI parameterization using adaptive fuzzy modulation (AFM) for networked control systems. II. Full adaptation , 2002, IEEE 2002 28th Annual Conference of the Industrial Electronics Society. IECON 02.

[15]  Shankar P. Bhattacharyya,et al.  A generalization of the Hermite Biehler theorem , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[16]  Mihail L. Sichitiu,et al.  Stability of 2-D distributed processes with time-variant communication delays , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[17]  Mihail L. Sichitiu,et al.  Stability of discrete time-variant linear delay systems and applications to network control , 2001 .

[18]  Mihail L. Sichitiu,et al.  Stability of first order discrete time systems with time-variant communication delays in the feedback path , 2000, IEEE APCCAS 2000. 2000 IEEE Asia-Pacific Conference on Circuits and Systems. Electronic Communication Systems. (Cat. No.00EX394).