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Robust stabilization of differential‐algebraic systems
Author(s) -
Tudor Sebastian Florin,
Sperilă Andrei,
Oară Cristian
Publication year - 2020
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.5225
Subject(s) - mathematics , control theory (sociology) , coprime integers , differential (mechanical device) , algebraic riccati equation , algebraic number , transfer function , riccati equation , robust control , differential algebraic geometry , matrix (chemical analysis) , differential algebraic equation , differential equation , mathematical analysis , computer science , control system , control (management) , ordinary differential equation , engineering , discrete mathematics , materials science , electrical engineering , artificial intelligence , composite material , aerospace engineering
Summary For an uncertain differential‐algebraic system subject to perturbations acting additively on coprime factors of its transfer function matrix, we construct a robust stabilizing controller and give a formula for the maximum stability margin in terms of realizations and solutions to appropriate Riccati equations.