On constrained continuous-time nonlinear control systems

Author

De Dona, Jose A. ; Levine, John

Author_Institution

Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, Newcastle, NSW, Australia

fYear

2013

fDate

4-5 Nov. 2013

Firstpage

53

Lastpage

60

Abstract

In this paper, the problem of state and input constrained control is addressed. 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 towards 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.

Keywords

continuous time systems; minimum principle; nonlinear control systems; set theory; state-space methods; constrained continuous-time nonlinear control systems; input constrained control; minimum-like principle; semipermeable surface; state constrained control; state constraint boundary subset; state space admissible subset; Australia; Differential equations; Integral equations; Nonlinear systems; Optimal control; Trajectory; Vectors; admissible set; barrier; nonlinear systems; state and input constraints;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (AUCC), 2013 3rd Australian

Conference_Location

Fremantle, WA

Print_ISBN

978-1-4799-2497-4

Type

conf

DOI

10.1109/AUCC.2013.6697247

Filename

6697247