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Title:
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Dilated LMI characterization for the robust finite time control of discrete-time uncertain linear systems
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Author:
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Rotondo, Damiano; Nejjari Akhi-Elarab, Fatiha; Puig Cayuela, Vicenç
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria de Sistemes, Automàtica i Informàtica Industrial; Universitat Politècnica de Catalunya. SIC - Sistemes Intel·ligents de Control; Universitat Politècnica de Catalunya. SAC - Sistemes Avançats de Control |
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Abstract:
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This paper provides new dilated linear matrix inequalities (LMIs) characterizations for the finite time boundedness (FTB) and the finite time stability (FTS) analysis of discrete-time uncertain linear systems. The dilated LMIs are later used to design a robust controller for the finite time control of discrete-time uncertain linear systems. The relevant feature of the proposed approach is the decoupling between the Lyapunov and the system matrices, that allows considering a parameter-dependent Lyapunov function. In this way, the conservativeness with respect to previous results is decreased. Numerical examples are used to illustrate the results. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Informàtica::Automàtica i control
-Linear systems--Automatic control--Mathematics.
-Discrete-time systems
-Finite time control
-Linear matrix inequalities
-Parameter-dependent Lyapunov functions
-Robust control
-Uncertain linear systems
-Sistemes lineals de control |
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Rights:
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Document type:
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Article - Submitted version
Article |
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