Output Regulation of the Chaotic T System
Main Article Content
Abstract
In this paper, we solve the problem of regulating the output of the chaotic T system, discovered by the scientists G. Tigan and
D. Opris (2008). T system is one of the well-known three-dimensional chaotic attractors and it has many interesting complex dynamical
behaviours and it has potential applications in secure communication. In this paper, we construct explicit state feedback control laws to regulate
the output of the T system so as to track constant reference signals. The control laws are derived using the regulator equations of Byrnes and
Isidori (1990), who have solved the output regulation of nonlinear systems involving neutrally stable exosystem dynamics.
We also discuss the simulation results in detail.
Downloads
Article Details
COPYRIGHT
Submission of a manuscript implies: that the work described has not been published before, that it is not under consideration for publication elsewhere; that if and when the manuscript is accepted for publication, the authors agree to automatic transfer of the copyright to the publisher.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work
- The journal allows the author(s) to retain publishing rights without restrictions.
- The journal allows the author(s) to hold the copyright without restrictions.