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

✍ Scribed by Matthew A. Franchek; Paul A. Herman

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 346 KB
• Volume: 8
• Category: Article
• ISSN: 1049-8923
• DOI: 10.1002/(sici)1099-1239(1998100)8:12<1021::aid-rnc363>3.0.co;2-s

✦ Synopsis

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 RH 2 . The relationships developed are for the problem:

Given: ½(s)"H(s)R(s) where H(s)3RH 2 and R(s) is s. Find: The relationship ""y(t)""

) ""H ( j )"" where the scaling factor is a function of the frequencydomain 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.