normed function
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2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Waqas Nazeer ◽  
Qaisar Mehmood ◽  
Abdul Rauf Nizami ◽  
Shin Min Kang

1997 ◽  
Vol 69 (5) ◽  
pp. 409-417
Author(s):  
Alain Bernard ◽  
Stuart J. Sidney

1993 ◽  
Vol 61 (5) ◽  
pp. 465-477 ◽  
Author(s):  
Antonio Gilioli ◽  
Klaus Floret ◽  
Chaim S. H�nig

1984 ◽  
Vol 106 (4) ◽  
pp. 273-279 ◽  
Author(s):  
S. Jayasuriya ◽  
M. J. Rabins ◽  
R. D. Barnard

A class of dynamical systems containing uncertain elements and subject to uncertain inputs is considered. The plant parameter uncertainties are assumed to be “unknown-but-bounded.” Design criteria are given for the synthesis of controllers for such systems, which guarantee that every input within a certain neighborhood of a nominal input gives rise to a corresponding output or system response in a prespecified neighborhood of a nominal output. These tracking specifications are formulated in terms of topological neighborhoods in normed function spaces, and feedback controllers are constructed by nonlinear state observers related to the uncertain plants and utilizing the measured output. These results, based primarily on fixed-point and operator norm techniques, provide quantitative servo designs and precise error bounds for the specified tracking behavior. The applicability of such derived criteria are demonstrated through synthesized controllers for two examples: a vibration isolation problem and a speed controller.


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