Title :
Conditional central algorithms for worst case set-membership identification and filtering
Author :
Garulli, Andrea ; Vicino, Antonio ; Zappa, Giovanni
Author_Institution :
Dipt. di Ingegneria dell´´Inf., Univ. di Siena, Italy
fDate :
1/1/2000 12:00:00 AM
Abstract :
This paper deals with conditional central estimators in a set membership setting. The role and importance of these algorithms in identification and filtering is illustrated by showing that problems like worst case optimal identification and state filtering, in contexts in which disturbances are described through norm bounds, are reducible to the computation of conditional central algorithms. The conditional Chebyshev center problem is solved for the case when energy norm-bounded disturbances are considered. A closed-form solution is obtained by finding the unique real root of a polynomial equation in a semi-infinite interval
Keywords :
Chebyshev approximation; computational complexity; identification; polynomial approximation; robust control; closed-form solution; conditional Chebyshev center problem; conditional central algorithms; energy norm-bounded disturbances; filtering; polynomial equation; semi-infinite interval; set membership setting; unique real root; worst case optimal identification; worst case set-membership identification; Closed-form solution; Computer aided software engineering; Control system synthesis; Equations; Filtering algorithms; Frequency; Parametric statistics; Polynomials; Robust control; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on