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This article proposes a finite-time adaptive control strategy for a class of vibration isolation systems with external disturbances and full-state constraints. Time-varying barrier Lyapunov functions (TBLFs) are designed to achieve suppression performance under limited rattle space. Adaptive laws are applied to deal with parameters uncertainty which is caused by various mass and momentum. By regarding internal coupling terms and external disturbances as lumped disturbances, a predefined-time observer is employed to handle them. Furthermore, command filters are used to remove the burdens of the computational explosion. With the aid of auxiliary system, command filters errors are eliminated. And the actuator saturation is addressed by auxiliary system as well. By using the finite-time Lyapunov stability theory, it proves that all the states converge in finite time. Finally, simulations are given to verify the effectiveness and benefits of the developed control strategy with a trade-off between the improved suppression performance, limited mechanical constraints and robustness.

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