Polynomially parameter-dependent Lyapunov functions for robust H-infinity performance analysis
| Authors: | Chesi Graziano, University of Siena, Italy
Garulli Andrea, University of Siena, Italy
Tesi Alberto, University of Firenze, Italy
Vicino Antonio, University of Siena, Italy |
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| Topic: | 2.5 Robust Control |
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| Session: | Positive Polynomials and LMI Optimization with Applications to Robust Control |
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| Keywords: | Robust control, H-infinity performance, Parametric uncertainty, Lyapunov function, LMI |
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Abstract
The computation of robust H-infinity performance of linear systems subject to polytopic parametric uncertainty is known to be a difficult problem in robust control. In this paper, quadratic parameter-dependent Lyapunov functions, with polynomial dependence on the uncertain parameters, are exploited to provide upper bounds to the robust H-infinity performance. It is shown that such bounds can be computed via convex optimizations constrained by LMIs. Numerical examples show that the proposed technique is a powerful alternative to existing methods based on linearly parameter-dependent Lyapunov functions.
