On barriers in state and input constrained nonlinear systems

Title: On barriers in state and input constrained nonlinear systems
Creator: De Doná, José A.; Lévine, Jean
Relation: SIAM Journal on Control and Optimization Vol. 51, Issue 4, p. 3208-3234
Publisher Link: http://dx.doi.org/10.1137/130908786
Publisher: Society for Industrial and Applied Mathematics
Resource Type: journal article
Date: 2013
Description: In this paper, the problem of state and input constrained control is addressed with multidimensional constraints. We obtain a local description of the boundary of the admissible subset of the state space where the state and input constraints can be satisfied for all times. This boundary is made of two disjoint parts: the subset of the state constraint boundary on which there are trajectories pointing toward the interior of the admissible set or tangentially to it, and a barrier, namely, a semipermeable surface which is constructed via a minimum-like principle.
Subject: state and input constraints; barrier; admissible set; nonlinear systems
Identifier: http://hdl.handle.net/1959.13/1063566
Identifier: uon:17296
Identifier: ISSN:0363-0129
Language: eng
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