Direct connection between time-domain performance and frequency-domain characteristics

Matthew Franchek, Paul A. Herman

    Research output: Contribution to journalArticlepeer-review

    20 Scopus citations

    Abstract

    Presented are the relationships between the transient response characteristics of a closed-loop system due to a step input and the frequency response characteristics which influence this response. The class of transfer functions addressed include those which are RH2. The relationships developed are for the problem: Given: Y(s) = H(s)R(s) where H(s) ε RH2 and R(s) is ys. Find: The relationship ∥y(t)∥ ≤ Λy ∥H (jω)∥ where the scaling factor Λ is a function of the frequency-domain characteristics of H(s). These relationships are useful for feedback control in that hard time-domain constraints can be enforced as amplitude and phase conditions on the open-loop transfer function. Two applications using these relationships are developed. The first application demonstrates controller design for an actuator saturation constraint. The second application is the development of a performance prediction technique for minimum phase, stable regulating systems.

    Original languageEnglish (US)
    Pages (from-to)1021-1042
    Number of pages22
    JournalInternational Journal of Robust and Nonlinear Control
    Volume8
    Issue number12
    DOIs
    StatePublished - 1998

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • General Chemical Engineering
    • Biomedical Engineering
    • Aerospace Engineering
    • Mechanical Engineering
    • Industrial and Manufacturing Engineering
    • Electrical and Electronic Engineering

    Fingerprint

    Dive into the research topics of 'Direct connection between time-domain performance and frequency-domain characteristics'. Together they form a unique fingerprint.

    Cite this