Plant tuning: A robust Lyapunov approach

Franco Blanchini, Gianfranco Fenu, Giulia Giordano, Felice Andrea Pellegrino

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

4 Citations (Scopus)


We consider the problem of tuning the output of a static plant whose model is unknown, under the only information that the input-output function is monotonic in each component or, more in general, that its Jacobian belongs to a known polytope of matrices. As a main result, we show that, if the polytope is robustly non-singular (or has full rank, in the non-square case), then a suitable tuning scheme drives the output to a desired point. The proof is based on the application of a well known theorem concerning the existence of a saddle point for a min-max zero-sum game. Some application examples are suggested.

Original languageEnglish
Title of host publication54rd IEEE Conference on Decision and Control,CDC 2015
Number of pages6
ISBN (Electronic)9781479978861
Publication statusPublished - 8 Feb 2015
Externally publishedYes
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: 15 Dec 201518 Dec 2015
Conference number: 54


Conference54th IEEE Conference on Decision and Control, CDC 2015
Abbreviated titleCDC 2015


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