Print Email Facebook Twitter Robust control design for linear systems via multiplicative noise Title Robust control design for linear systems via multiplicative noise Author Gravell, Benjamin J. (University of Texas at Dallas) Mohajerin Esfahani, P. (TU Delft Team Peyman Mohajerin Esfahani; TU Delft Team Bart De Schutter) Summers, Tyler H. (University of Texas at Dallas) Date 2021 Abstract Robust stability and stochastic stability have separately seen intense study in control theory for many decades. In this work we establish relations between these properties for discrete-time systems and employ them for robust control design. Specifically, we examine a multiplicative noise framework which models the inherent uncertainty and variation in the system dynamics which arise in model-based learning control methods such as adaptive control and reinforcement learning. We provide results which guarantee robustness margins in terms of perturbations on the nominal dynamics as well as algorithms which generate maximally robust controllers. Subject Robust control (linear case)Robust controller synthesisStochastic systemsUncertainty descriptions To reference this document use: http://resolver.tudelft.nl/uuid:58364ee5-6d48-40a5-a6eb-d95d811c95e5 DOI https://doi.org/10.1016/j.ifacol.2020.12.1268 ISSN 1474-6670 Source IFAC-PapersOnLine, 53 (2020) (2), 7392-7399 Event 21st IFAC World Congress 2020, 2020-07-12 → 2020-07-17, Berlin, Germany Part of collection Institutional Repository Document type journal article Rights © 2021 Benjamin J. Gravell, P. Mohajerin Esfahani, Tyler H. Summers Files PDF 1_s2.0_S2405896320316700_main.pdf 602.73 KB Close viewer /islandora/object/uuid:58364ee5-6d48-40a5-a6eb-d95d811c95e5/datastream/OBJ/view