Reduced-order Robust Multivariable Control of a Double-beam Cantilever Structure

Vibration control of a two-dimensional smart structure is presented. The least squares identification technique and a novel pole identification method are used to obtain accurate plant models. Comparable accuracy is achieved with a significantly lower model order using the latter method. A multivariable multi—input multi—output (MIMO) generalized minimum variance control scheme is used to address robustness issues of plant mismodeling, unmodeled modes/dynamics and control signal saturation. The controllers are tested for robustness to spillover problems. Results are further supported with the use of sensitivity response functions.