A bound of conservativeness in sampled-data robust stabilization and its dependence on sampling periods |
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Authors: | Yasuaki Oishi |
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Affiliation: | Department of Mathematical Engineering and Information Physics, The University of Tokyo, Bunkyo-ku, Tokyo 113, Japan |
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Abstract: | This paper investigates conservativeness of the
2-induced norm in a sampled-data robust stabilization problem. Namely, it is shown that possible conservativeness of the
2-induced norm can be bounded by difference between the best achievable performance of time-invariant continuous-time controllers and that of sampled-data controllers. Moreover, this difference is proven to approach zero as a sampling period tends to zero, which means the conservativeness above loses importance when a sampling period is small. These results are important because robust stabilization based on the
2-induced norm is computationally inexpensive compared with robust stabilization based on the non-conservative robust stability index. One key lemma plays an essential role in this paper and it should be interesting independently. |
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Keywords: | Sampled-data control Robust stabilization Conservativeness Sampling period 2-induced norm |
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