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Obtaining stabilizing stationary controls via finite horizon cost

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Author(s):
Costa, Eduardo F. ; do Val, Joao B. R. ; IEEE
Total Authors: 3
Document type: Journal article
Source: 2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12; v. 1-12, p. 6-pg., 2006-01-01.
Abstract

This paper focus on the stabilizing properties of stationary feedback controls for general nonlinear systems that are obtained by minimizing a finite horizon cost, in a receding horizon control basis. The main result is to establish exponential stability for stationary controls obtained from minimization of sufficiently large but finite time horizon cost. The approach requires a previously defined notion of closed-loop delectability of nonlinear systems, and in the present paper we introduce conditions under which the aforementioned delectability sense is verified from the open-loop system data, as is usual in linear systems. In connection, me verify that stabilizable and detectable linear time-invariant systems satisfy each of the work assumptions. (AU)

FAPESP's process: 03/06736-7 - Control and filtering of Markovian jumping parameters stochastic systems
Grantee:João Bosco Ribeiro do Val
Support Opportunities: Research Projects - Thematic Grants