Positive polynomials and robust stabilization with fixed-order controllers
Recent results on positive polynomials are used to obtain a convex inner approximation of the stability domain in the space of coefficients of a polynomial. An application to the design of fixed-order controllers robustly stabilizing a linear system subject to polytopic uncertainty is then proposed,...
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| Published in | IEEE transactions on automatic control Vol. 48; no. 7; pp. 1178 - 1186 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York, NY
IEEE
01.07.2003
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0018-9286 1558-2523 |
| DOI | 10.1109/TAC.2003.814103 |
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| Abstract | Recent results on positive polynomials are used to obtain a convex inner approximation of the stability domain in the space of coefficients of a polynomial. An application to the design of fixed-order controllers robustly stabilizing a linear system subject to polytopic uncertainty is then proposed, based on linear matrix inequality optimization. The key ingredient in the design procedure resides in the choice of the central polynomial. Several numerical examples illustrate the relevance of the approach. |
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| AbstractList | Recent results on positive polynomials are used to obtain a convex inner approximation of the stability domain in the space of coefficients of a polynomial. An application to the design of fixed-order controllers robustly stabilizing a linear system subject to polytopic uncertainty is then proposed, based on linear matrix inequality optimization. The key ingredient in the design procedure resides in the choice of the central polynomial. Several numerical examples illustrate the relevance of the approach. Recent results on positive polynomials are used to obtain a convex inner approximation of the stability domain in the space of coefficients of a polynomial. An application to the design of fixed-order controllers robustly stabilizing a linear system subject to polytopic uncertainty is then proposed, based on linear matrix inequality optimization. The key ingredient in the design procedure resides in the choice of the central polynomial. Several numerical examples illustrate the relevance of the approach. (Author) |
| Author | Sebek, M. Henrion, D. Kucera, V. |
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| SubjectTerms | Aerospace industry Applied sciences Approximation Associate members Computer science; control theory; systems Control systems Control theory. Systems Controllers Design engineering Design optimization Exact sciences and technology Ingredients Linear matrix inequalities Linear systems Mathematical analysis Miscellaneous Optimization Polynomials Robust control Robust stability Stability Uncertainty |
| Title | Positive polynomials and robust stabilization with fixed-order controllers |
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