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 language | English (US) |
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Pages (from-to) | 1021-1042 |
Number of pages | 22 |
Journal | International Journal of Robust and Nonlinear Control |
Volume | 8 |
Issue number | 12 |
DOIs | |
State | Published - 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