Variable Speed Control Moment Gyroscope in an Inverted Pendulum

Author(s):  
João F. S. Trentin ◽  
Samuel da Silva ◽  
Hanspeter Schaub

Abstract The use of variable speed control moment gyroscope (VSCMG) is an effective way for attitude stabilization of aerospace devices. It is possible to control the oscillation and direction rate of change in rigid bodies in space due to the controlled change of angular momentum rate. Thus, this paper proposes an atypical pendulum configuration controlled by a VSCMG actuator. The idea of the VSCMG pendulum (VSCMGP) is to use both the angular momentum variation in amplitude and direction to implement the control. The controller is designed using Lyapunov theory to stabilize the pendulum in the inverted position. The results illustrate the control using a VSCMG in an inverted pendulum showing how the stabilization of an inverted pendulum is performed using two control actions. Also, the comparison of the proposed pendulum with a classical configuration is presented.

Author(s):  
Quan Hu ◽  
Yinghong Jia ◽  
Haiyan Hu ◽  
Shijie Xu ◽  
Jingrui Zhang

Gyroelastic body refers to a flexible structure with a distribution of stored angular momentum (called gyricity). In previous studies, it was assumed that each volume element of the structure possesses an infinitesimal spinning rotor so that the distribution of the gyricity is continuous. However, the momentum devices must be discretely distributed in engineering applications; therefore, this paper studies the gyroelastic body formed by directly mounting a set of variable speed control moment gyroscopes (CMGs) on the flexible structure. The detailed dynamics of the CMGs is incorporated to capture the interactions between the CMGs and the structure. The gyroelastic modes and pseudorigid modes are discussed based on the linearized mathematical model. The examples of a gyroelastic beam and a gyroelastic parabolic structure demonstrate several involved concepts and properties.


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