Static feedback design for 2D mixed continuous-discrete-time systems via LMIs

Title: Static feedback design for 2D mixed continuous-discrete-time systems via LMIs
Creator: Chesi, Graziano; Middleton, Richard H.
Relation: 2015 European Control Conference (ECC). Proceedings of the 2015 European Control Conference (Linz, Austria 15-17 July, 215) p. 2859-2864
Publisher Link: http://dx.doi.org/10.1109/ECC.2015.7330971
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2015
Description: This paper addresses the problem of designing static feedback controllers for 2D mixed continuous-discrete-time systems via linear matrix inequalities (LMIs). It is shown that a necessary and sufficient condition can be obtained by solving two LMI problems. The first LMI problem aims at determining a polynomial whose positivity domain corresponds to stabilizing controllers. The second LMI problem aims at identifying one controller in such a domain. The condition is sufficient for any size of the LMI problems, and is necessary for a sufficiently large one. Some numerical examples illustrate the proposed methodology.
Subject: continuous time systems; control system synthesis; discrete time systems; feedback; linear matric inequalities; stability
Identifier: http://hdl.handle.net/1959.13/1315523
Identifier: uon:22950
Identifier: ISBN:9781467371605
Language: eng
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