This paper proposes different design strategies of robust controllers for high-order plants. The design is tailored on the structure\r\nof the equations resulting from modeling flexible structures by using modal coordinates. Moreover, the control laws have some\r\ncharacteristics which make them specially suited for active vibration reduction, such as strong stabilization property and bandpass\r\nfrequency shape. The approach is also targeted the case of more sensors than actuators, which is very frequent in practical\r\napplications. Indeed, actuators are often rather heavy and bulky, while small and light sensors may be placed more freely. In\r\nsuch cases, sensors can be usefully placed in the locations where the primary force fields act on the structure, so as to provide the\r\ncontroller with a direct information on the disturbance effects in terms of structural vibrations. Eventually, this approach may\r\nlead to uncolocated control strategies. The design problem is here solved by resorting to a Linear Matrix Inequality technique,\r\nwhich allows also to select the performance weights based on different design requirements, for example, a suitable bandpass\r\nfrequency shape. Experimental results are presented for a vibration reduction problem of a stiffened aeronautical panel controlled\r\nby piezoelectric actuators.
Loading....