Reachable set approximation for measure driven dynamic control systems

Author

Goncharova, E. ; Baturin, V. ; Sousa, J. ; Pereira, F.

Author_Institution

Inst. of Syst. Dynamics & Control Theor., Acad. of Sci., Irkutsk, Russia

Volume

3

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

2403

Abstract

In the article a conceptual approach towards the computation of polyhedral approximations of the reachable set of an impulsive dynamic control system is presented. This method consists in computing a sufficiently large number of points close to the boundary of the reachable set by regarding each one as the value at the final time of the optimal state trajectory for an optimal impulsive control problem with a certain linear cost functional. The iterative algorithm used to solve the optimal impulsive control problem involves its implicit transformation into a conventional one by the so called reduction transformation method. The auxiliary reduced problem is solved by an improvement algorithm based on local approximations to the reachable set.

Keywords

iterative methods; nonlinear control systems; nonlinear dynamical systems; optimal control; improvement algorithm; impulsive dynamic control system; iterative algorithm; linear cost functional; local approximations; measure driven dynamic control systems; optimal impulsive control; polyhedral approximations; reachable set approximation; reduction transformation method; Aerodynamics; Control systems; Control theory; Cost function; Ear; Iterative algorithms; Nonlinear control systems; Optimal control; Resource management; Robots;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184195

Filename

1184195