Robust Control of Constrained Parabolic Systems with Neumann Boundary Conditions

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/4237 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/4237 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/4237 archive 351 disk0/00/00/49/39 2016-01-15 02:07:47 2021-08-27 17:15:43 2016-01-15 02:07:47 monograph show 2 Mordukhovich B.S. 7482 Zhang K. Robust Control of Constrained Parabolic Systems with Neumann Boundary Conditions pub iis_met iis_sys prog_dyn This paper presents recent results by the authors on minimax robust control design of parabolic systems with uncertain perturbations under pointwise state and control constraints. The design procedure involves multi-step approximations and essentially employs monotonicity properties of the parabolic dynamics as well as its asymptotics on the infinite horizon. The results obtained justify a suboptimal three-positional structure of feedback controllers in the Neumann boundary conditions and provide calculations of their optimal parameters to ensure the required state performance and stability under any admissible perturbations. The problem under consideration was originally motivated by control design in water resources but certainly admits a much broader spectrum of applications. 1996-07 published WP-96-088 WP-96-088 10 1461 public working_paper IIASA, Laxenburg, Austria 13 FALSE info:eu-repo/semantics/book