Premium
Robust adaptive stabilization for time‐varying systems with unmodelled dynamics and disturbances
Author(s) -
Li Yong,
Chen HanFu
Publication year - 1996
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/(sici)1099-1115(199611)10:6<531::aid-acs389>3.0.co;2-i
Subject(s) - control theory (sociology) , bounded function , mathematics , discrete time and continuous time , estimator , adaptive control , riccati equation , uniform boundedness , computer science , mathematical analysis , differential equation , control (management) , statistics , artificial intelligence
In this paper, robust adaptive stabilization is discussed for time‐varying discrete time systems with disturbances and unmodelled dynamics. Both bounded and unbounded stochastic disturbances are considered. It is assumed that the parameters of the nominal model belong to a bounded convex set and that the ‘frozen time’ nominal model is stabilizable for all possible parameter values. Requiring neither external excitation nor stable invertibility of the nominal model, an adaptive regulator is constructed on the basis of the solution to a finite time Riccati equation and a projected gradient estimator. It is shown that the closed‐loop system is stable if both the time average of the parameter variations and the model error are sufficiently small.