Event‐triggered probabilistic robust control of linear systems with input constrains: By scenario optimization approach |
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| Authors: | Yanyan Yin Yanqing Liu Kok Lay Teo Song Wang |
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| Affiliation: | 1. Department of Mathematics and Statistics, Curtin University, Perth, Western Australia 6102, Australia;2. School of Textile and Clothing, Key Laboratory of Eco‐Textile (Ministry of Education), Jiangnan University, Wuxi, China |
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| Abstract: | This paper addresses the problem of probabilistic robust stabilization for uncertain systems subject to input saturation. A new probabilistic solution framework for robust control analysis and synthesis problems is addressed by a scenario optimization approach, in which the uncertainties are not assumed to be norm bounded. Furthermore, by expressing the saturated linear feedback law on a convex hull of a group of auxiliary linear feedback laws, we establish conditions under which the closed‐loop system is probabilistic stable. Based on these conditions, the problem of designing the state feedback gains for achieving the largest size of the domain of attraction is formulated and solved as a constrained optimization problem with linear matrix inequality constraints. The results are then illustrated by a numerical example. |
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| Keywords: | actuator saturation event‐triggering control probabilistic robust stabilization scenario optimization uncertainties |
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