An ℋ∞ Optimal Robust Pole Placement with Fixed Transparent Controller Structure on the Basis of Nonnegativity of Even Spectral Polynomials
Joint Authors
Sarjaš, Andrej
Svečko, Rajko
Chowdhury, Amor
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-06
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
This paper presents the synthesis of an optimal robust controller with the use of pole placement technique.
The presented method includes solving a polynomial equation on the basis of the chosen fixed characteristic polynomial and introduced parametric solutions with a known parametric structure of the controller.
Robustness criteria in an unstructured uncertainty description with metrics of norm ℋ∞ are for a more reliable and effective formulation of objective functions for optimization presented in the form of a spectral polynomial with positivity conditions.
The method enables robust low-order controller design by using plant simplification with partial-fraction decomposition, where the simplification remainder is added to the performance weight.
The controller structure is assembled of well-known parts such as disturbance rejection, and reference tracking.
The approach also allows the possibility of multiobjective optimization of robust criteria, application of mixed sensitivity problem, and other closed-loop limitation criteria, where the common criteria function can be composed from different unrelated criteria.
Optimization and controller design are performed with iterative evolution algorithm.
American Psychological Association (APA)
Sarjaš, Andrej& Svečko, Rajko& Chowdhury, Amor. 2012. An ℋ∞ Optimal Robust Pole Placement with Fixed Transparent Controller Structure on the Basis of Nonnegativity of Even Spectral Polynomials. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-1001877
Modern Language Association (MLA)
Sarjaš, Andrej…[et al.]. An ℋ∞ Optimal Robust Pole Placement with Fixed Transparent Controller Structure on the Basis of Nonnegativity of Even Spectral Polynomials. Mathematical Problems in Engineering No. 2012 (2012), pp.1-25.
https://search.emarefa.net/detail/BIM-1001877
American Medical Association (AMA)
Sarjaš, Andrej& Svečko, Rajko& Chowdhury, Amor. An ℋ∞ Optimal Robust Pole Placement with Fixed Transparent Controller Structure on the Basis of Nonnegativity of Even Spectral Polynomials. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-1001877
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001877