Premium
A New Adaptive Method For Identification Of Critical Gain Using Saturation Function
Author(s) -
Saeki Masami
Publication year - 2002
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 - 10.1111/j.1934-6093.2002.tb00087.x
Subject(s) - control theory (sociology) , saturation (graph theory) , loop gain , nonlinear system , relay , monotonic function , constant (computer programming) , function (biology) , mathematics , computer science , engineering , physics , mathematical analysis , voltage , power (physics) , control (management) , combinatorics , artificial intelligence , quantum mechanics , evolutionary biology , electrical engineering , biology , programming language
A new adaptive method for identification of the critical gain is proposed. Instead of using relay feedback, a saturation nonlinearity and an adjusting gain are inserted in the loop, and the gain is tuned by the difference signal between the input and the output of the saturation function. The gain decreases monotonically and converges to a constant, which can be very close to the critical gain. It is shown that the feedback system does not become unstable by this method. This method can be easily extended to the multi‐input multi‐output plants.