15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
FINITE-VALUED CONTROL LAW SYNTHESIS FOR NONLINEAR UNCERTAIN SYSTEMS
G. Celentano, R. Iervolino
Dipartimento di Informatica e Sistemistica
Università degli Studi di Napoli, Federico II
Via Claudio, 21
80125 Napoli (ITALY)
Tel. +39 081 7683175
Fax +39 081 7683186
Email: {giocelen,rafierv}@unina.it

In this paper a Lyapunov technique is presented for the synthesis of controllers characterised by control signals that, for construction simplicity and in order to attain a better efficiency, may only assume a finite number of values. In particular, a design technique of a control law with prescribed control levels for a class of continuous-time SISO uncertain nonlinear systems is provided, which guarantees the tracking of a given reference trajectory, with a prescribed maximum error norm, a prescribed rate of convergence and a low switching frequency.
Keywords: Nonlinear systems, Lyapunov methods, Uncertain dynamic systems, Hybrid systems
Session slot T-We-A21: Posters of Nonlinear Systems/Area code 2c : Non-linear Systems