Output Regulation of the Chen Chaotic System
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Abstract
In this paper, we solve the problem of regulating the output of the Chen chaotic system (1999), which is one of the paradigms of
three-dimensional chaotic attractors. Chen chaotic system 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 Chen chaotic 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.
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Keywords: Nonlinear Control Systems, Feedback Stabilization, Output Regulation, Chaos, Chen System.
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