FREQUENCY-DOMAIN PERFORMANCE BOUNDS FOR UNCERTAIN STRUCTURES WITH SENSOR AND ACTUATOR DYNAMICS

A new majorant robustness analysis test that yields frequency-dependen t performance bounds for closed-loop uncertain vibrational systems wit h frequency, damping and mode shape uncertainty is developed. Specific ally, for closed-loop systems consisting of uncertain positive real pl ants in tandem with sensor and actuator dynamics and controlled by str ictly positive real compensators, performance bounds are developed by decomposing the equivalent compensator (which includes the actuator an d sensor dynamics) into a generalized positive real part and a non-gen eralized positive real part, and by using concepts of M-matrices and m ajorant analysis.