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Disturbance decoupling by state feedback for uncertain impulsive linear systems
Author(s) -
Conte Giuseppe,
Perdon Anna Maria,
Otsuka Naohisa,
Zattoni Elena
Publication year - 2021
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5501
Subject(s) - decoupling (probability) , control theory (sociology) , classification of discontinuities , constructive , disturbance (geology) , state (computer science) , exponential stability , mathematics , stability (learning theory) , nonlinear system , computer science , control (management) , control engineering , engineering , mathematical analysis , physics , algorithm , artificial intelligence , process (computing) , paleontology , quantum mechanics , machine learning , biology , operating system
The problem of making the output of a linear system with polytopic uncertainties and discontinuities in the state evolution totally insensitive to an unknown disturbance input by state feedback is investigated. Suitable geometric notions are introduced and used to provide a structural, constructive solvability condition. The requirement of achieving global robust asymptotic stability of the compensated dynamics is then added and further solvability conditions are provided by requiring that the time instants at which discontinuities in the state evolution, or jumps, occur are sufficiently far from each other.