Energy‐based comparative analysis of optimal active control schemes for clustered tensegrity structures

Summary This study performs a series of numerical investigations of a novel energy‐based control approach for effective vibration control of clustered tensegrity structures via different optimal active control algorithms. The comparative study among different control algorithms of clustered tensegrities are often challenging due to the geometrical non‐linearity, complex loading conditions and assemblage uncertainties of structural components. In order to overcome these technical difficulties, an actuator input energy‐based method is herein implemented to assess the optimal dynamic performances of clustered tensegrity structures via distinct optimal active control schemes. As a quantification tool, the structural displacement and elemental forces monitored from both the whole structure level and the elemental level were applied to assess control efficiency based on the same amount of actuator energy input. Specifically, the control efficiency comparisons are realized by setting identical energy input to actuated elements via linear‐quadratic‐Gaussian (LQG) and H∞ algorithms. Different actuator placements of clustered cables and struts are considered and the control efficiency coefficients of the proposed method are examined through a spatial clustered tensegrity beam. The outcomes from the illustrative example indicate that the proposed method is efficient and reliable in comparative analyzing of different optimal active control schemes for clustered tensegrity structures, which implies the prospect of the investigated approach in analyzing and solving actual engineering problems.