The filter synthesis problem for robust strict positive realness (RSPR) of systems with lp parametric uncertainty is addressed. A general characterization of the solutions of the RSPR problem in this framework is derived. The proposed characterization is then exploited in order to devise synthesis procedures which yield polynomial or rational filters of bounded degree with guaranteed SPR robustness margin in the l2, l ∞, and l1 cases.
Bianchini, G., A., T., Vicino, A. (2004). A characterization of robust SPR synthesis for systems with l_p parametric uncertainty. DYNAMICS OF CONTINUOUS, DISCRETE AND IMPULSIVE SYSTEMS. SERIES B: APPLICATIONS & ALGORITHMS, 11(4-5), 393-410.
A characterization of robust SPR synthesis for systems with l_p parametric uncertainty
BIANCHINI, GIANNI;VICINO, ANTONIO
2004-01-01
Abstract
The filter synthesis problem for robust strict positive realness (RSPR) of systems with lp parametric uncertainty is addressed. A general characterization of the solutions of the RSPR problem in this framework is derived. The proposed characterization is then exploited in order to devise synthesis procedures which yield polynomial or rational filters of bounded degree with guaranteed SPR robustness margin in the l2, l ∞, and l1 cases.
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https://hdl.handle.net/11365/18946