Nonlinear High Gain Separation Principles and Fast Sampling Results ensuring Robust Stability

French, Mark and Mueller, Markus (2008) Nonlinear High Gain Separation Principles and Fast Sampling Results ensuring Robust Stability. IEEE Transactions on Automatic Control


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A semi-global nonlinear separation principle is described which presents conditions under which a stabilizing controller based on the output and its derivatives (typically the state or partial state) can be replaced by a controller based on measurement of the output only. The results include the case of high gain observer reconstruction of the output derivatives and the case of approximating the output derivatives via numerical derivatives for which various realizable schemes based on discrete sampling are given. The same sampling constructions and results are also applied directly to the output measurement itself, giving rise to fast sampling theorems. The proofs are based on estimating gap distances between the original controller and the reconstructed approximation and conditions based on the robust stability margin.

Item Type: Article
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Southampton Wireless Group
ePrint ID: 266885
Accepted Date and Publication Date:
7 November 2008Submitted
Date Deposited: 07 Nov 2008 15:38
Last Modified: 31 Mar 2016 14:13
Robust Stability for Nonlinear Control: Analysis and Synthesis
Funded by: EPSRC (EP/F035950/1)
Led by: Mark French
15 February 2008 to 14 February 2011
Further Information:Google Scholar

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