New frequency domain performance bounds for uncertain structural systems with actuator and sensor dynamics

A new majorant robustness analysis test that yields frequency dependent performance bounds for closed-loop uncertain vibrational systems with frequency, damping, and mode shape uncertainties is developed. Specifically, for closed-loop systems consisting of uncertain positive real plants in tandem with sensor and actuator dynamics and controlled by strictly positive real compensators, performance bounds are developed by decomposing the equivalent compensator (which includes the actuator and sensor dynamics) to a positive real part and a nonpositive real part and using concepts of M-matrices and majorant analysis