Title :
On the
Two-Sided Model Matching Problem With Preview
Author :
Kristalny, Maxim ; Mirkin, Leonid
Author_Institution :
Dept. of Autom. Control, Lund Univ., Lund, Sweden
Abstract :
The H2 optimization problem with preview and asymptotic behavior constraints is considered in a general two-sided model matching setting. The solution is obtained in terms of two constrained Sylvester equations, associated with asymptotic behavior, and stabilizing solutions of two algebraic Riccati equations. The Riccati equations do not depend on the preview length, yet are affected by asymptotic behavior constraints and are thus different from the standard H2 Riccati equations arising in problems with no steady-state requirements or in one-sided problems.
Keywords :
H2 control; Riccati equations; optimisation; predictive control; H2 optimization problem; H2 two-sided model matching problem; Sylvester equations; algebraic Riccati equations; asymptotic behavior constraints; preview; Frequency domain analysis; Mathematical model; Optimization; Riccati equations; Suspensions; Transfer functions; ${H^{2}}$ optimization; model matching; preview control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2161053