Premium
Input‐output theory of high‐gain adaptive stabilization of infinite‐dimensional systems with non‐linearities
Author(s) -
Logemann Hartmut,
Owens David H.
Publication year - 1988
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.4480020304
Subject(s) - control theory (sociology) , high gain antenna , stability (learning theory) , actuator , range (aeronautics) , computer science , scope (computer science) , output feedback , class (philosophy) , nonlinear system , linear system , mathematics , control (management) , engineering , physics , mathematical analysis , electrical engineering , artificial intelligence , machine learning , programming language , aerospace engineering , quantum mechanics
This paper develops an input‐output theory of high‐gain adaptive stabilization of certain infinite‐dimensional processes with actuator and sensor non‐linearities. It is shown that there is a wide range of gain adaption rules achieving stability for the class of processes under consideration if proportional output feedback is used. The abstract input‐output results are applied to retarded systems and Volterra integrodifferential systems. The paper shows that the scope of applicability of universal adaptive stabilization ideas extends far beyond finite‐dimensional linear systems.