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An Amplitude‐ and Rate‐Saturated Controller for Linear Plants
Author(s) -
Baiomy Nehal,
Kikuuwe Ryo
Publication year - 2020
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1851
Subject(s) - controller (irrigation) , control theory (sociology) , discretization , bounded function , attractor , nonlinear system , amplitude , set (abstract data type) , terminal (telecommunication) , mode (computer interface) , computer science , mathematics , function (biology) , control (management) , mathematical analysis , artificial intelligence , physics , agronomy , biology , telecommunications , quantum mechanics , evolutionary biology , programming language , operating system
This paper proposes a new nonlinear controller applicable to single‐input linear systems under bounded disturbance. The controller provides control signals satisfying specified amplitude and rate‐of‐change limitations. This feature is realized by its sliding mode‐like structure comprising a set‐valued function. The controller also employs a state‐dependent parameter to broaden the region of attraction and to shrink the terminal attractor. In addition, this paper provides a discrete‐time implementation of the proposed controller based on a model‐based implicit discretization scheme. Numerical examples show the validity of the proposed controller.