Stabilization and disturbance attenuation control of the gyroscopic inverted pendulum

U Wasiwitono, A Wahjudi… - Journal of Vibration …, 2021 - journals.sagepub.com
Journal of Vibration and Control, 2021journals.sagepub.com
In this study, a control moment gyroscope is used as an actuator to stabilize the inverted
pendulum. A control strategy is proposed to stabilize the inverted pendulum at the upright
unstable equilibrium point and to maintain the gimbal angle as small as possible. Such a
problem is formulated as a constrained H∞ disturbance attenuation problem and then
transformed into solving linear matrix inequalities. The performance of the proposed
controller is evaluated through simulation for linear and nonlinear cases. It is shown that the …
In this study, a control moment gyroscope is used as an actuator to stabilize the inverted pendulum. A control strategy is proposed to stabilize the inverted pendulum at the upright unstable equilibrium point and to maintain the gimbal angle as small as possible. Such a problem is formulated as a constrained H disturbance attenuation problem and then transformed into solving linear matrix inequalities. The performance of the proposed controller is evaluated through simulation for linear and nonlinear cases. It is shown that the proposed state-feedback control strategy effectively stabilizes the inverted pendulum.
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