Active optimal control of structure using optimal observer

A new control scheme with an optimal observer is presented for optimal control of civil engineering structures. The purpose is to increase the reliability and robustness of the control system. In classical optimal control without observer, there is no relationship between the real and simulated vibrations of structures. Thus, if any discrepancy occurred between the two, vibration might be amplified rather than controlled. Due to regulator‐observer control in the proposed optimal feedback control scheme, stable control is achieved very quickly in an asymptotic manner. The following conclusions are obtained. It is preferable to use the optimal regulator control because of its simplicity. It can be shown numerically that the same degree of control can be achieved using optimal regulator control as is achieved using optimal m‐step control. Further, it is preferable to use the optimal observer because the structure can be controlled steadily even if there is a discrepancy between real and simulated vibrations....