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On the numerical solution of the control problem of switched linear systems

Author(s):
Vargas, Alessandro N. ; Ishihara, Joao Y. ; do Val, Joao B. R. ; IEEE
Total Authors: 4
Document type: Journal article
Source: 2013 EUROPEAN CONTROL CONFERENCE (ECC); v. N/A, p. 5-pg., 2013-01-01.
Abstract

This paper presents a method to compute an epsilon-optimal solution of the control problem of switched linear systems. A difficulty that emerges in the evaluation of the optimal solution is that the cardinality of the solution set increases exponentially as long as the time-horizon increases linearly, which turns the problem intractable when the horizon is sufficiently large. We propose a numerical method to overcome such difficulty, in the sense that our approach allows the evaluation of epsilon-optimal solutions with corresponding sets that do not increase exponentially. (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