Abstract
In this paper, moment matching-based loop shaping design for finite-dimensional linear systems is considered. First, the time-domain moment matching model reduction problem with complex-conjugated pole-zero placement is revisited. We explicitly calculate the free parameters such that the reduced order model, achieving moment-matching at complex-conjugated interpolation points, has pairs of complex-conjugated poles and zeros placed in desired locations. Then, we recast the problem of closed-loop pole placement in terms of moment-matching, with the moments equal to −1 and 0, respectively. Consequently, the free parameters of a model achieving both moment matching at complex-conjugated points and closed-loop pole placement at prescribed locations are determined. Furthermore, we combine the classical loop shaping method with closed-loop pole placement via moment matching to design a robust controller for stable, minimum-phase, proper systems. We illustrate the proposed moment matching-based loop shaping approach on a benchmark example.
Original language | English |
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Title of host publication | 2023 European Control Conference (ECC) |
Subtitle of host publication | Proceedings |
Publisher | IEEE Xplore |
Number of pages | 6 |
ISBN (Electronic) | 978-3-907144-08-4 |
ISBN (Print) | 978-1-6654-6531-1 |
Publication status | Published - 17-Jul-2023 |