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Static output feedback passivation revisited and global asymptotic stabilizing properties of a controller
Author(s) -
Stefanovski Jovan D.
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.5181
Subject(s) - control theory (sociology) , feed forward , constant (computer programming) , matrix (chemical analysis) , controller (irrigation) , minimum phase , exponential stability , class (philosophy) , function (biology) , linear system , property (philosophy) , phase (matter) , stability (learning theory) , stability theory , control (management) , mathematics , computer science , control engineering , engineering , nonlinear system , physics , mathematical analysis , materials science , philosophy , artificial intelligence , composite material , biology , epistemology , quantum mechanics , evolutionary biology , machine learning , agronomy , programming language
Summary The class of systems that can be globally asymptotically stabilized by the well‐known control law u = − y , ˙ = Γ y y Tis extended, in respect to literature. This control law is suitable for application to systems of unknown structure, and it is shown that it is more advantageous than the linear control law. The stability proof is based on solutions of a newly introduced problem, which is a specialization of the passivation by static output feedback control of a system with nonzero feedforward matrix. Necessary and sufficient conditions for existence of a solution of the problem are given, which include the minimum phase property of the given system. It is explained why the new concept cannot be applied to nonminimum phase systems. It is proved that a class of nonminimum phase systems can be stabilized by the same control law, where Γ is a matrix function, rather than a constant matrix. Illustrative example are given.