A new approach that combines H-infinity control with eigenstructure assignment is proposed and applied to the vibration control of flexible structures. As the design requirements of the H-infinity control problem are given in the frequency domain, it is difficult for H-infinity control to attain the requirements of response properties in the time domain. Eigenstructure assignment is one of the approaches that can satisfy the requirements in the time domain. A two-step approach is proposed; that is, as a first step the full state feedback control law is designed to satisfy the good response using eigenstructure assignment, and as the next step, the robust state estimator holding its performance is solved as the H-infinity filter problem. The proposed approach is applied to the vibration control of flexible structures, and it is demonstrated that the designed control law has good performance and robust stability by the simulation and experiments. References: 12
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