Technical Communique: Finite-time control of linear systems subject to parametric uncertainties and disturbances

Authors:
Francesco Amato;Marco Ariola;Peter Dorato
Affiliations:
Dipartimento di Informatica e Sistemistica, Universití degli Studi di Napoli Federico II, Via Claudio 21, 80125, Napoli, Italy;Dipartimento di Informatica e Sistemistica, Universití degli Studi di Napoli Federico II, Via Claudio 21, 80125, Napoli, Italy;EECE Department, The University of New Mexico, Albuquerque, NM 87131, USA
Venue:
Automatica (Journal of IFAC)
Year:
2001

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Abstract

In this paper we consider finite-time control problems for linear systems subject to time-varying parametric uncertainties and to exogenous constant disturbances. The main result provided is a sufficient condition for robust finite-time stabilization via state feedback. It can be applied to problems with both non-zero initial conditions and unknown constant disturbances. This condition is then reduced to a feasibility problem involving linear matrix inequalities (LMIs). A detailed example is presented to illustrate the proposed methodology.