Minimization of the worst-case peak to peak gain via dynamic programming: State feedback case

Nicola Elia, Munther A. Dahleh

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations

Abstract

The problem of designing a controller that minimizes the worst-case peak to peak gain of the closed loop system was considered. The principle of optimality was applied and derived a dynamic programming formulation of the optimization problem was described. At each step of the dynamic program, the cost to go has the form of a gauge function and can be recursively determined through simple transformations. The formulation allows to consider, together with the worst case inputs, fixed known inputs and it can naturally incorporate actuator saturation constraints. A computational scheme that allows to compute the exact value of the worst-case peak to peak gain for any finite horizon is presented.

Original languageEnglish (US)
Pages (from-to)3002-3006
Number of pages5
JournalProceedings of the American Control Conference
Volume5
StatePublished - Jan 1 1997
Externally publishedYes
EventProceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA
Duration: Jun 4 1997Jun 6 1997

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