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Multivariable fractional-order PID tuning by iterative non-smooth static-dynamic H∞ synthesis.
- Source :
-
Fractional Calculus & Applied Analysis . Aug2021, Vol. 24 Issue 4, p1094-1111. 18p. - Publication Year :
- 2021
-
Abstract
- This paper proposes a new method for tuning the parameters of multi-input multi-output (MIMO) fractional-order PID (FOPID) controller. The aim of the proposed method is to calculate the parameters of this controller such that the rise time and steady-state errors of the feedback system are minimized without violating the predetermined stability margins. Mathematically, this problem is formulated as maximizing the spectral norm of the open-loop transfer matrix at zero frequency subject to a constraint on the H∞-norm of the sensitivity function. This problem is nonlinear in parameters of the MIMO FOPID, which can be solved using the iterative algorithm developed in this paper based on non-smooth H∞ synthesis. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13110454
- Volume :
- 24
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Fractional Calculus & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 152080671
- Full Text :
- https://doi.org/10.1515/fca-2021-0047