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Frequency‐based controller design for a class of nonlinear systems
Author(s) -
Shah Minesh A.,
Franchek Matthew A.
Publication year - 1999
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/(sici)1099-1239(199910)9:12<825::aid-rnc437>3.0.co;2-w
Subject(s) - control theory (sociology) , describing function , nonlinear system , controller (irrigation) , frequency domain , open loop controller , class (philosophy) , control engineering , loop (graph theory) , domain (mathematical analysis) , process (computing) , transfer function , computer science , design process , function (biology) , control system , design methods , engineering , control (management) , closed loop , mathematics , work in process , artificial intelligence , biology , quantum mechanics , agronomy , physics , operations management , mathematical analysis , operating system , evolutionary biology , computer vision , mechanical engineering , combinatorics , electrical engineering
Presented in this paper is a frequency‐based controller design methodology for a class of nonlinear systems that can be characterized by a class of Hammerstein models. The controller design is directed toward the disturbance rejection problem where the output performance specification appears as a time domain tolerance. The controller design process is executed in three stages. First, the system nonlinearities are quasilinearized via describing function techniques. Second, the design methodology enforces a time domain tolerance ∣ y ( t )∣⩽ α via frequency domain constraints on the quasilinearized closed‐loop system. Finally, the controller is designed via classical loop shaping of the quasilinearized system on the open‐loop gain‐phase plane. The design process is illustrated on the idle speed control of a Ford 4.6L‐2 valve V‐8 fuel injected engine. Copyright © 1999 John Wiley & Sons, Ltd.