Computation of optimal H∞ controllers and Approximations of fractional order systems: A tutorial review
Date
2013Source Title
Applied and Computational Mathematics
Print ISSN
1683-3511
Electronic ISSN
1683-6154
Publisher
Applied Mathematics Scientific Research Institute
Volume
12
Issue
3
Pages
261 - 288
Language
English
Type
ArticleItem Usage Stats
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Abstract
This paper briefly reviews the recent techniques in the field of fractional order
systems, and concentrates on the design of 'H00 optimal controllers for a magnetic suspension
system model, derived in (25). The plant involves infinite dimensional terms, including a time
delay and a rational function of y's. The recent formulation in (36) is used for the controller
design, solving the mixed sensitivity minimization problem for unstable infinite dimensional
plants with low order weights, and the result is verified with the old design procedure of (44). For
simulation purposes, various implementation methods are performed, and a new approximation
method is proposed.
Keywords
Fractional Order SystemsH∞ optimal control
Approximation of fractional order systems
Time domain simulations of fractional order systems.