A comment on 'Algorithm of robust stability region for interval plant with time delay using fractional order PID controller' [Commun Nonlinear Sci Numer Simulat 17 (2012) 979–991]
Autor: | Mohsen Fathi Jegarkandi, Reza Mohsenipour |
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Rok vydání: | 2018 |
Předmět: |
0209 industrial biotechnology
Numerical Analysis Applied Mathematics Stability (learning theory) 02 engineering and technology Interval (mathematics) 01 natural sciences 010305 fluids & plasmas Nonlinear system 020901 industrial engineering & automation Control theory Modeling and Simulation Value set 0103 physical sciences Polygon Pi Order (group theory) Algorithm Mathematics |
Zdroj: | Communications in Nonlinear Science and Numerical Simulation. 63:202-204 |
ISSN: | 1007-5704 |
DOI: | 10.1016/j.cnsns.2018.03.008 |
Popis: | In Ref. [1], it has been claimed that the value set of a fractional order interval plant, having one uncertain time delay is a polygon. This note illustrates that this claim is not true, and in fact the value set has a nonconvex shape. Therefore, Theorem 3.1 and the stabilization algorithm presented in the reference to design a PIλDμ controller, are not true. |
Databáze: | OpenAIRE |
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