Effectiveness of Hadamard-weighted controller to active structural control problems with multiple inputs

In this paper, the effectiveness of Hadamard weighted controller to active structural control problem is studied. Two cases are dealt with: 1) integrity in multiple input system; and 2) robustness in MIMO system. Numerical calculations are carried out. For case 1, a structure model with an active dynamic vibration absorber and an active vibration isolator is adopted to investigate the effectiveness to modify integrity, while a structure mode 1 with transverse-torsional coupling structure model is applied for case 2 to clarify the effectiveness to enhance robustness. It is confirmed that the Hadamard weighted controller is effective to modify integrity, while robustness and performance is slightly improved when combined with H^∞/μ control