Synthesis of fixed-architecture, robust H2 and H∞ controllers

Synthesis of fixed-architecture, robust H2 and H∞ controllers

This paper discusses and compares the synthesis of fixed-architecture controllers that guarantee either robust H2 or H∞ performance. The synthesis is accomplished by solving a Riccati equation feasibility problem resulting from mixed structured singular value theory with Popov multipliers. Whereas t...

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Bibliographic Details
Main Authors: Emmanuel G. Collins, Debashis Sadhukhan
Format: Article
Language:English
Published: Hindawi Limited 2000-01-01
Series:Mathematical Problems in Engineering
Subjects:
Controller synthesis; Homotopy algorithms; Popov multiplier; Fixed-architecture; Robust H2 performance; Robust H∞ performance.
Online Access:http://dx.doi.org/10.1155/S1024123X00001290
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spelling doaj-097d8f9db7d342a48e47d883448359572020-11-25T01:57:59ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472000-01-0162-312514410.1155/S1024123X00001290Synthesis of fixed-architecture, robust H2 and H∞ controllersEmmanuel G. Collins0Debashis Sadhukhan1Department of Mechanical Engineering, Florida A&M University – Florida State University, 2525 Pottsdamer Street, Tallahassee, FL 32310-6046, USADepartment of Mechanical Engineering, Florida A&M University – Florida State University, 2525 Pottsdamer Street, Tallahassee, FL 32310-6046, USAThis paper discusses and compares the synthesis of fixed-architecture controllers that guarantee either robust H2 or H∞ performance. The synthesis is accomplished by solving a Riccati equation feasibility problem resulting from mixed structured singular value theory with Popov multipliers. Whereas the algorithm for robust H2 performance had been previously implemented, a major contribution described in this paper is the implementation of the much more complex algorithm for robust H∞ performance. Both robust H2 and H∞, controllers are designed for a benchmark problem and a comparison is made between the resulting controllers and control algorithms. It is found that the numerical algorithm for robust H∞ performance is much more computationally intensive than that for robust H2 performance. Both controllers are found to have smaller bandwidth, lower control authority and to be less conservative than controllers obtained using complex structured singular value synthesis.http://dx.doi.org/10.1155/S1024123X00001290Controller synthesis; Homotopy algorithms; Popov multiplier; Fixed-architecture; Robust H2 performance; Robust H∞ performance.
collection DOAJ
language English
format Article
sources DOAJ
author Emmanuel G. Collins
Debashis Sadhukhan
spellingShingle Emmanuel G. Collins
Debashis Sadhukhan
Synthesis of fixed-architecture, robust H2 and H∞ controllers
Mathematical Problems in Engineering
Controller synthesis; Homotopy algorithms; Popov multiplier; Fixed-architecture; Robust H2 performance; Robust H∞ performance.
author_facet Emmanuel G. Collins
Debashis Sadhukhan
author_sort Emmanuel G. Collins
title Synthesis of fixed-architecture, robust H2 and H∞ controllers
title_short Synthesis of fixed-architecture, robust H2 and H∞ controllers
title_full Synthesis of fixed-architecture, robust H2 and H∞ controllers
title_fullStr Synthesis of fixed-architecture, robust H2 and H∞ controllers
title_full_unstemmed Synthesis of fixed-architecture, robust H2 and H∞ controllers
title_sort synthesis of fixed-architecture, robust h2 and h∞ controllers
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2000-01-01
description This paper discusses and compares the synthesis of fixed-architecture controllers that guarantee either robust H2 or H∞ performance. The synthesis is accomplished by solving a Riccati equation feasibility problem resulting from mixed structured singular value theory with Popov multipliers. Whereas the algorithm for robust H2 performance had been previously implemented, a major contribution described in this paper is the implementation of the much more complex algorithm for robust H∞ performance. Both robust H2 and H∞, controllers are designed for a benchmark problem and a comparison is made between the resulting controllers and control algorithms. It is found that the numerical algorithm for robust H∞ performance is much more computationally intensive than that for robust H2 performance. Both controllers are found to have smaller bandwidth, lower control authority and to be less conservative than controllers obtained using complex structured singular value synthesis.
topic Controller synthesis; Homotopy algorithms; Popov multiplier; Fixed-architecture; Robust H2 performance; Robust H∞ performance.
url http://dx.doi.org/10.1155/S1024123X00001290
work_keys_str_mv AT emmanuelgcollins synthesisoffixedarchitecturerobusth2andhcontrollers
AT debashissadhukhan synthesisoffixedarchitecturerobusth2andhcontrollers
_version_ 1724971354559610880

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