Consensus Vibration Control for Large Flexible Structures of Spacecraft With Modified Positive Position Feedback Control

In this brief, consensus modified positive position feedback (CMPPF) is proposed to depress the vibration of large flexible structure in the spacecraft. CMPPF is formulated by decentralizing and distributing the modified positive position feedback (MPPF) to a network of control agents. Variables are appropriately selected and the consensus algorithm is employed to make the multiagents consensus with each other. CMPPF convergence conditions are derived and the control parameters are optimized. Amplitude-frequency response analysis and simulations demonstrate that CMPPF suppresses vibrations faster and more evidently than MPPF. Results also indicate how consensus between agents is realized and how agents’ disagreement is eliminated. Effects of different consensus variables and different communication topologies are studied. Meanwhile, results for different types of agents’ failure are presented. CMPPF is robust to topology and agents’ failure and achieves satisfactory performances.

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