Title
Robust loop shaping controller design for spectral models by quadratic programming
Abstract
A quadratic programming approach is proposed to tune fixed-order linearly parameterized controllers for stable LTI plants represented by spectral models. The method is based on the shaping of the open-loop or closed-loop frequency functions in the Nyquist diagram. The quadratic error between a desired open loop transfer function and the actual open loop frequency function is minimized in the frequency domain subject to linear constraints guaranteeing stability and robustness margins by quadratic programming. Moreover, it is shown that the H infinity mixed sensitivity robust performance problem can be approximated by linear constraints and be integrated in the control design method. The method can directly consider multi- model as well as frequency-domain uncertainties. An application to a difficult benchmark problem illustrates the effectiveness of the proposed approach.
Year
DOI
Venue
2007
10.1109/CDC.2007.4434449
CDC
Keywords
DocType
ISSN
hinfin control,control system analysis,linear quadratic control,quadratic programming,robust control,transfer functions,h infinity mixed sensitivity,lti plants,nyquist diagram,closed-loop frequency functions,fixed-order linearly parameterized controllers,frequency-domain uncertainties,open loop transfer function,open-loop frequency functions,robust loop shaping controller,spectral models,quadratic program,frequency domain,transfer function
Conference
0191-2216 E-ISBN : 978-1-4244-1498-7
ISBN
Citations 
PageRank 
978-1-4244-1498-7
1
0.48
References 
Authors
6
3
Name
Order
Citations
PageRank
Galdos, G.110.82
A. Karimi228940.41
Longchamp, R.310.48