Control and Synchronization Chaotic Satellite using Active Control

Abstract

Satellite attitude dynamics, nonlinear systems with high dimension and are nonlinear and chaotic. In this paper, attitude control and synchronization two identical chaotic satellite with different initial conditions based on the control design is proposed. Using the Lyapunov theory stability controller has been demonstrated. Finally, according to the simulation results, the synchronization is complete, the control signal is low that changes are the ability to build and implement.

Measuring chaos and synchronization of chaotic satellite systems using sliding mode control

“…Differentiating V along the trajectories of (19) of the equivalent dynamics (14), we haveV (e(t)) = s T (e(t))̇s(e(t)) = − s 2 − sign(s)s, (21) which is the negative definite function of R n . These calculations show that V is the globally defined positive definite Lyapunov function for the error dynamics (19) andV is the globally defined negative definite function. Thus, by the Lyapunov stability theory, 1 the error dynamics (19) is asymptotically stable for the initial condition e(0) ∈ R n .…”

“…To prove the error dynamics (19) is asymptotically stable, we consider the Lyapunov function defined by the equation…”

“…Let therefore the reference trajectory for the Slave satellite be the measured attitude of the Master satellite. 15,18 Hamidzadeh and Esmaelzadeh 19 have addressed the control and synchronization chaotic satellite using active control.…”

Control and synchronization of fractional‐order chaotic satellite systems using feedback and adaptive control techniques

“…have paid much attention to this fields. Hamidzadeh and Esmaelzadeh 32 have addressed the control and synchronization of chaotic satellite using active control. Farid and Moghaddam 33 have discussed generalized projective synchronization of chaotic satellites problem using linear matrix inequality.…”

Secure Communications Based on the Projective Synchronization of Four‐Dimensional Hyperchaotic Systems

“…Thus, the response system will be forced to follow the dynamics of the drive system and hence the latter will act as an external chaotic forcing of the response. The masterslave configuration of chaos has many applications in real life such as telecommunications [5], energy resource systems [6], electrical drives [7], gyro systems [8], satellites [9], and chaos authentication [10]. In 1990, ott et al [11] were able to control chaos by forcing a chaotic system to follow a desired behavior; this control strategy is known as OGY method.…”