Dilated LMI characterization for the robust finite time control of discrete-time uncertain linear systems
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...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/83887 |
| Acceso en línea: | https://hdl.handle.net/2117/83887 https://dx.doi.org/10.1016/j.automatica.2015.10.003 |
| Access Level: | acceso abierto |
| Palabra clave: | 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 Àrees temàtiques de la UPC::Informàtica::Automàtica i control |
| Sumario: | 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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