In this paper we consider the problem of semiglobally stabilizing a wide class of uncertain nonlinear system, which is made up of a linear nominal system affected by model uncertainties or nonlinearities. Our approach is based on H∞ control tools and recovers existing results on the semiglobal stabilization via output feedback. We will prove that, if the uncertainties satisfy both a triangularity property (TS) and a linearity property (LS) with respect to some state variables, we can achieve semiglobal stabilization via measurement feedback. The resulting measurement feedback is itself 'optimal' with respect to a 'meaningful' cost functional. Our result also allows to take into account output nonlinear effects such as saturations and backlash.

Semiglobal stabilization via measurement feedback for systems in triangular form / Battilotti, S.. - STAMPA. - 1:(1999), pp. 837-841. (Intervento presentato al convegno 38th IEEE Conference on Decision and Control tenutosi a Phoenix, AZ, USA) [10.1109/CDC.1999.832894].

Semiglobal stabilization via measurement feedback for systems in triangular form

Battilotti, S.
1999

Abstract

In this paper we consider the problem of semiglobally stabilizing a wide class of uncertain nonlinear system, which is made up of a linear nominal system affected by model uncertainties or nonlinearities. Our approach is based on H∞ control tools and recovers existing results on the semiglobal stabilization via output feedback. We will prove that, if the uncertainties satisfy both a triangularity property (TS) and a linearity property (LS) with respect to some state variables, we can achieve semiglobal stabilization via measurement feedback. The resulting measurement feedback is itself 'optimal' with respect to a 'meaningful' cost functional. Our result also allows to take into account output nonlinear effects such as saturations and backlash.
1999
38th IEEE Conference on Decision and Control
semiglobal stability, uncertain nonlinear system, uncertainties
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
Semiglobal stabilization via measurement feedback for systems in triangular form / Battilotti, S.. - STAMPA. - 1:(1999), pp. 837-841. (Intervento presentato al convegno 38th IEEE Conference on Decision and Control tenutosi a Phoenix, AZ, USA) [10.1109/CDC.1999.832894].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1116273
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