✦ LIBER ✦

Bounds on the responses of nonlinear control systems

✍ Scribed by Ralph Iwens

Publisher: Elsevier Science
Year: 1968
Tongue: English
Weight: 646 KB
Volume: 285
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(68)90030-6

No coin nor oath required. For personal study only.

✦ Synopsis

It is shown how a frequency domain criterion can be used to obtain meaningful bounds on the responses of nonlinearfeedbac7~ systems. If the system is rlisturbed by a known input or ?zonsm~ initial condition from its state of equilibrium, bounds are obtained on ouer shoot and settling time as the system returns to its state of equilibrium. The method presented also permits to compute bounds for responses to bounded inputs which do not bring the system to a state of equilibrium. The bounds have a graphical inter.wretattin in the Nyquist+lane which is similar in concept to M-circles for linear systems. This gra~hichical interpretation can be used advantageously in the design nonlinear feedback systems.

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