An alternative solution to the weakened anti-windup problem for LFT perturbed plants

Martin Henrik Bruckner; Sergio Galeani; Luigi del Re

An alternative solution to the weakened anti-windup problem for LFT perturbed plants

Martin Henrik Bruckner
, Sergio Galeani
, Luigi del Re

Institute for Machine Intelligence

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

Abstract

The problem of robust in the large anti-windup compensation (in the “weakened” anti-windup sense) is solved using a different control structure based on the two degrees-offreedom control and focusing on general stable uncertain systems in LFT form. It is shown that, whenever a suitable “certificate” of robust stability of the plant exists, then the weakened anti-windup problem can be solved (even in cases where the natural anti-windup problem can not be solved). A design approach is proposed relying on μ−synthesis, thus imposing less restrictions than previous designs based on small gain reasonings for additive uncertainties.

Original language	English
Title of host publication	Proceedings of the 18th IFAC World Congress
Number of pages	6
Publication status	Published - Sept 2011

Fields of science

203 Mechanical Engineering
202034 Control engineering
202012 Electrical measurement technology
206 Medical Engineering
202027 Mechatronics
202003 Automation
203027 Internal combustion engines
207109 Pollutant emission

JKU Focus areas

Mechatronics and Information Processing

Cite this

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title = "An alternative solution to the weakened anti-windup problem for LFT perturbed plants",

abstract = "The problem of robust in the large anti-windup compensation (in the “weakened” anti-windup sense) is solved using a different control structure based on the two degrees-offreedom control and focusing on general stable uncertain systems in LFT form. It is shown that, whenever a suitable “certificate” of robust stability of the plant exists, then the weakened anti-windup problem can be solved (even in cases where the natural anti-windup problem can not be solved). A design approach is proposed relying on μ−synthesis, thus imposing less restrictions than previous designs based on small gain reasonings for additive uncertainties.",

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N2 - The problem of robust in the large anti-windup compensation (in the “weakened” anti-windup sense) is solved using a different control structure based on the two degrees-offreedom control and focusing on general stable uncertain systems in LFT form. It is shown that, whenever a suitable “certificate” of robust stability of the plant exists, then the weakened anti-windup problem can be solved (even in cases where the natural anti-windup problem can not be solved). A design approach is proposed relying on μ−synthesis, thus imposing less restrictions than previous designs based on small gain reasonings for additive uncertainties.

AB - The problem of robust in the large anti-windup compensation (in the “weakened” anti-windup sense) is solved using a different control structure based on the two degrees-offreedom control and focusing on general stable uncertain systems in LFT form. It is shown that, whenever a suitable “certificate” of robust stability of the plant exists, then the weakened anti-windup problem can be solved (even in cases where the natural anti-windup problem can not be solved). A design approach is proposed relying on μ−synthesis, thus imposing less restrictions than previous designs based on small gain reasonings for additive uncertainties.

M3 - Conference proceedings

BT - Proceedings of the 18th IFAC World Congress

ER -