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Feedback control of nonlinear systems
Author(s) -
Isidori Alberto
Publication year - 1992
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.4590020404
Subject(s) - control theory (sociology) , bounded function , variable (mathematics) , nonlinear system , servomechanism , affine transformation , constant (computer programming) , mathematics , linear system , state variable , controller (irrigation) , computer science , control (management) , control engineering , engineering , mathematical analysis , agronomy , physics , quantum mechanics , artificial intelligence , biology , pure mathematics , thermodynamics , programming language
This paper deals with the design of (memoryless) state‐feedback laws for systems modelled by nonlinear differential equations which are affine in the inputs. The purpose of the design is to obtain a (locally) internally stable closed‐loop system in which the effect of exogenous inputs on a prescribed error (or, more in general, on a penalty variable) is attenuated. Two standard setups are considered: in the first one, the ratio between the energy associated with the penalty variable and that associated with the exogenous input is required to be bounded by a constant 0 < γ this setup includes (to some extent) the standard H ∞ control problem of linear system theory. In the second one, the penalty variable is required to converge to 0 as t ∞; this setup generalizes the so‐called servomechanism problem of linear system theory.