Dynamical analysis of a networked control system

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)61-83
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume17
Issue number1
Publication statusPublished - Jan 2007

Abstract

A new network data transmission strategy was proposed, in [Zhang & Chen, 2005], where the resulting nonlinear system was analyzed and the effectiveness of the transmission strategy was demonstrated via simulations. In this paper, we further generalize the results of Zhang and Chen [2005] in the following ways: (1) Construct first-return maps of the nonlinear systems formulated in [Zhang & Chen, 2005] and derive several existence conditions of periodic orbits and study their properties. (2) Formulate the new system as a hybrid system, which will ease the succeeding analysis. (3) Prove that this type of hybrid systems is not structurally stable based on phase transition which can be applied to higher-dimensional cases effortlessly. (4) Simulate a higher-dimensional model with emphasis on their rich dynamics. (5) Study a class of continuous-time hybrid systems as the counterparts of the discrete-time systems discussed above. (6) Propose new controller design methods based on this network data transmission strategy to improve the performance of each individual system and the whole network. We hope that this research and the problems posed here will rouse the interest of researchers in such fields as control, dynamical systems and numerical analysis. © World Scientific Publishing Company.

Research Area(s)

  • Bifurcation, Computational complexity, First-return map, Hybrid system, Networked control system, Stability

Citation Format(s)

Dynamical analysis of a networked control system. / Zhang, Guofeng; Chen, Guanrong; Chen, Tongwen; D'Amico, Marìa Belén.

In: International Journal of Bifurcation and Chaos, Vol. 17, No. 1, 01.2007, p. 61-83.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review