In this paper we address the problem of noninteracting control with stability for a class of nonlinear square systems for which noninteraction can be achieved (without stability) by means of invertible static state-feedback. The use of both static state feedback and dynamic state-feedback is investigated. We prove that in both cases the asymptotic stabilizability of certain subsystems is necessary to achieve noninteraction and stability. We use this and some recent results to state a complete set of necessary and sufficient conditions in order to solve the problem.
NECESSARY AND SUFFICIENT CONDITIONS FOR NONINTERACTING CONTROL WITH STABILITY FOR A CLASS OF NONLINEAR SYSTEMS / Battilotti, S.; Dayawansa, W. P.. - (1991). (Intervento presentato al convegno 1991 American Control Conference tenutosi a Boston Park Plaza Hotel Boston, Massachusetts (USA)).
NECESSARY AND SUFFICIENT CONDITIONS FOR NONINTERACTING CONTROL WITH STABILITY FOR A CLASS OF NONLINEAR SYSTEMS
S. Battilotti
;
1991
Abstract
In this paper we address the problem of noninteracting control with stability for a class of nonlinear square systems for which noninteraction can be achieved (without stability) by means of invertible static state-feedback. The use of both static state feedback and dynamic state-feedback is investigated. We prove that in both cases the asymptotic stabilizability of certain subsystems is necessary to achieve noninteraction and stability. We use this and some recent results to state a complete set of necessary and sufficient conditions in order to solve the problem.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.