Open AccessStable adaptive NSOF domain FOPID controller for a class of non‐linear systems
Author(s) -
Biswas Debasish,
Das Sharma Kaushik,
Sarkar Gautam
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0732
Subject(s) - control theory (sociology) , benchmark (surveying) , controller (irrigation) , computer science , transient (computer programming) , transfer function , domain (mathematical analysis) , stability (learning theory) , pid controller , control engineering , mathematics , engineering , control (management) , artificial intelligence , mathematical analysis , agronomy , biology , temperature control , electrical engineering , geodesy , machine learning , geography , operating system
The present study proposes a new approach for designing stable adaptive fractional‐order proportional–integral–derivative (FOPID) controllers, which employs non‐sinusoidal orthogonal function (NSOF) domain‐based design approach. The objective is to design a self‐adaptive FOPID controller such that the designed controller can guarantee desired stability and simultaneously it can provide satisfactory transient performance. The proposed design methodology simplifies and eliminates the complexity of solving fractional‐order system dynamics by converting it into the algebraic vector–matrix equation with the help of NSOF. The conventional FOPID, NSOF‐based FOPID and NSOF‐based adaptive FOPID controllers are implemented for benchmark simulation case studies and real‐life experimentation and their results demonstrate the usefulness of the proposed approach.