Continuous-time performance limitations for overshoot and resulted tracking measures
Provides theoretical bounds for control system designers, but is an incremental extension of known discrete-time results to continuous-time systems.
This paper derives new continuous-time performance limitations for overshoot, undershoot, and related tracking measures, extending prior results to more general reference signals and characterizing the influence of pole/zero locations on achievable time-domain performance.
A dual formulation for the problem of determining absolute performance limitations on overshoot, undershoot, maximum amplitude and fluctuation minimization for continuous-time feedback systems is constructed. Determining, for example, the minimum possible overshoot attainable by all possible stabilizing controllers is an optimization task that cannot be expressed as a minimum-norm problem. It is this fact, coupled with the continuous-time rather than discrete-time formulation, that makes these problems challenging. We extend previous results to include more general reference functions, and derive new results (in continuous time) on the influence of pole/zero locations on achievable time-domain performance.