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Unfalsified adaptive control: Controller switching algorithms for nonmonotone cost functions
Author(s) -
Jin H.,
Safonov M.G.
Publication year - 2012
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2265
Subject(s) - monotonic function , controller (irrigation) , convergence (economics) , control theory (sociology) , generalization , transient (computer programming) , computer science , function (biology) , adaptive control , control (management) , basis (linear algebra) , hysteresis , algorithm , control engineering , mathematics , engineering , artificial intelligence , mathematical analysis , physics , geometry , quantum mechanics , evolutionary biology , agronomy , economics , biology , economic growth , operating system
SUMMARY Controller switching algorithms used for adaptive control are investigated. The concept of interfalsification, a generalization of the existing ϵ ‐hysteresis algorithm, is defined; a new concept of self‐falsification is introduced, and the two concepts are compared. On the basis of the idea of self‐falsification, new controller switching algorithms are designed and two new convergence theorems are proved. These new results allow for removal of the assumption that the cost function associated with each controller be monotonically nondecreasing in time, thus opening the possibility of safe data‐driven adaptive control designs with fading‐memory cost functions. Theoretical analysis and simulations illustrate that the self‐falsification algorithms can also decrease insertions of destabilizing controllers and improve the transient properties. Copyright © 2012 John Wiley & Sons, Ltd.