Network-Based Active Vibration Control of Collocated Actuator/Sensor Structures via Consensus Positive Position Feedback Available to Purchase

Vibration control in smart structures is discussed in this paper using an approach based on connecting collocated control elements to one another via a network with certain topology. Consensus method is implemented to force disagreements between the control agents of the structure to zero, where each control agent consists of a multi-mode Positive Position Feedback (PPF) second-order compensator. Multi-agent state-space representation of actuator/sensor elements is used, accompanied with an optimal state-estimator. The consensus law is embedded in the dynamics of the PPF control elements. Required conditions for stability of the closed-loop multi-agent system are then extracted. Performance of the controller is numerically investigated, and synchronization of controller agents is examined. Significant advantage of the decentralized consensus-based vibration controller over centralized forms is in robustness to failure of components or an entire agent, and obtained synchronized performance of the whole control system.