Sensitivity Analysis of Continuous-Time Systems based on Power Spectral Density
Provides a theoretical unification and a practical bound for control system performance analysis, but is incremental for the control theory community.
The paper shows that for wide sense stationary disturbances, the sensitivity and sensitivity-like Bode integrals are identical, and derives a lower bound for the complementary sensitivity-like Bode integral, demonstrated on an F-16 aircraft control problem.
Bode integrals of sensitivity and sensitivity-like functions along with complementary sensitivity and complementary sensitivity-like functions are conventionally used for describing performance limitations of a feedback control system. In this paper, we show that in the case when the disturbance is a wide sense stationary process the (complementary) sensitivity Bode integral and the (complementary) sensitivity-like Bode integral are identical. A lower bound of the continuous-time complementary sensitivity-like Bode integral is also derived and examined with the linearized flight-path angle tracking control problem of an F-16 aircraft.