Dilated LMI characterization for the robust finite time control of discrete-time uncertain linear systems
Journal Article (2016)
Nejjari Akhi-Elarab, Fatiha
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.
D. Rotondo, F. Nejjari and V. Puig. Dilated LMI characterization for the robust finite time control of discrete-time uncertain linear systems. Automatica, 63(16): 16-20, 2016.