Output Regulation of the Liu Chaotic System

2011 ◽  
Vol 110-116 ◽  
pp. 3982-3989 ◽  
Author(s):  
Vaidyanathan Sundarapandian
Keyword(s):  
Feedback Control ◽  
Control Systems ◽  
Chaotic System ◽  
State Feedback ◽  
Output Regulation ◽  
State Feedback Control ◽  
Nonlinear Control Systems ◽  
Control Laws ◽  
Reference Signals ◽  
Simulation Results

This paper investigates the problem of regulating the output of the Liu chaotic system (2004). Explicitly, we construct state feedback control laws to regulate the Liu 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 control systems using neutrally stable exosystem dynamics. The simulation results are also discussed in detail.

scholarly journals Output Regulation of the Pan System

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
V. Sundarapandian
Keyword(s):  
Feedback Control ◽  
Secure Communication ◽  
State Feedback ◽  
Three Dimensional ◽  
Output Regulation ◽  
State Feedback Control ◽  
Chaotic Attractors ◽  
Control Laws ◽  
Potential Applications ◽  
Simulation Results

We solve the problem of regulating the output of the Pan system (2010), which is one of the recently discovered three-dimensional chaotic attractors. Pan 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 for regulating the output of the Pan system so as to track constant reference signals. The state feedback control laws are derived using the regulator equations of Byrnes and Isidori (1990). The simulation results are provided to illustrate the effectiveness of the regulation schemes derived for the output regulation of the Pan system.

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