Premium
Simultaneous Achievement of Open and Closed Loop Diagonal Dominance Through Constant Feedback
Author(s) -
Jetto Leopoldo,
Orsini Valentina,
Romagnoli Raffaele
Publication year - 2019
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1757
Subject(s) - diagonal , control theory (sociology) , dominance (genetics) , closed loop , open loop controller , feedback loop , loop (graph theory) , diagonally dominant matrix , controller (irrigation) , mathematics , mathematical optimization , computer science , control engineering , engineering , control (management) , pure mathematics , geometry , artificial intelligence , combinatorics , agronomy , biochemistry , chemistry , computer security , biology , invertible matrix , gene
This paper proposes a new and low complexity technique for the simultaneous achievement of open and closed loop diagonal dominance for uncertain plants. The method is based on the introduction of a static high gain inner feedback which modifies the plant to attain a diagonal dominant open loop compensated plant. The sufficient, easy to use, conditions derived for the open loop diagonal dominance also assure the simultaneous achievement of closed loop diagonal dominance under soft assumptions on the diagonal elements of the decoupled controller robustly stabilizing the plant. These assumptions agree with the usual closed‐loop performance specifications, so that closed‐loop diagonal dominance is achieved without any extra complication on the controller design procedure. The main merits of the present method are: applicability to uncertain plants, ease of implementation and low computational cost. Three examples taken from the relevant literature, are given to show the effectiveness of the proposed approach.