Convergence of truncates in l 1 optimal feedback control 61

Robert Wenczel, Andrew Eberhard () and Robin Hill
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Robert Wenczel: Royal Melbourne University of Technology
Andrew Eberhard: Royal Melbourne University of Technology
Robin Hill: Royal Melbourne University of Technology

Chapter Chapter 4 in Optimization, 2009, pp 55-93 from Springer

Abstract: Abstract Existing design methodologies based on infinite-dimensional linear programming generally require an iterative process often involving progressive increase of truncation length, in order to achieve a desired accuracy. In this chapter we consider the fundamental problem of determining a priori estimates of the truncation length sufficient for attainment of a given accuracy in the optimal objective value of certain infinite-dimensional linear programs arising in optimal feedback control. The treatment here also allows us to consider objective functions lacking interiority of domain, a problem which often arises in practice.

Keywords: l 1-feedback control; epi-distance convergence; truncated convex programs (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-98096-6_4

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DOI: 10.1007/978-0-387-98096-6_4

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