VIRTUAL RECOLLOCATION OF MEASUREMENT SIGNALS IN ACTIVE VIBRATION CONTROL SYSTEMS

Collocation of sensors and actuators is an important feature of all motion control systems of active structures. Collocated systems provide great advantages from a stability, passivity, robustness and an implementation viewpoint. However it is not always possible to collocate the control actuators with sensors. Active magnetic bearings (AMBs) are examples of such systems. The paper presents a new method for recollocating the axes or planes of measurement to the axes or planes of actuation. Applying methods known from the control systems theory, such as state-space models, observers and transformations to canonical forms it is possible to calculate the transformation matrix that recollocates the measurement signals from the locations of sensors to the locations of actuators. The approach is illustrated with an analytical and numerical example of a rigid rotor supported by AMBs. The results confirm the correctness of the proposed method.