TY - GEN
T1 - Parametrization of proper, reduced structure MIMO tracking prefilters with optimality considerations
AU - Bernent, Matt
AU - Jayasuriya, Suhada
PY - 1998
Y1 - 1998
N2 - This paper presents a multivariable extension to [1]. It also presents a method for obtaining optimality in some sense. We consider the problem of continuous tracking of a vector of reference signals, where each signal is assumed to be a linear combination of polynomials, exponentials and sinusoids of known frequencies. The issue is to construct a system such that the performance is optimized, subject to the constraint of zero preview information. As in [1], the concept of orthogonality, is used to construct a prefilter with zero preview information through the solution of a matrix Diophantine equation. This method allows the zero structure of the final sensitivity function to be chosen with great freedom. In addition, we exploit the non-uniqueness of the solution to the matrix Diophantine equation to obtain a prefilter that is optimal in some sense.
AB - This paper presents a multivariable extension to [1]. It also presents a method for obtaining optimality in some sense. We consider the problem of continuous tracking of a vector of reference signals, where each signal is assumed to be a linear combination of polynomials, exponentials and sinusoids of known frequencies. The issue is to construct a system such that the performance is optimized, subject to the constraint of zero preview information. As in [1], the concept of orthogonality, is used to construct a prefilter with zero preview information through the solution of a matrix Diophantine equation. This method allows the zero structure of the final sensitivity function to be chosen with great freedom. In addition, we exploit the non-uniqueness of the solution to the matrix Diophantine equation to obtain a prefilter that is optimal in some sense.
UR - http://www.scopus.com/inward/record.url?scp=84881324398&partnerID=8YFLogxK
U2 - 10.1109/ACC.1998.702989
DO - 10.1109/ACC.1998.702989
M3 - Conference contribution
AN - SCOPUS:84881324398
SN - 0780345304
SN - 9780780345300
T3 - Proceedings of the American Control Conference
SP - 2061
EP - 2064
BT - Proceedings of the 1998 American Control Conference, ACC 1998
T2 - 1998 American Control Conference, ACC 1998
Y2 - 24 June 1998 through 26 June 1998
ER -