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State-space solution to the periodic multirate H control problem: a lifting approach

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3 Author(s)
Sagfors, M.F. ; Dept. of Chem. Eng., Abo Akademi, Finland ; Toivonen, H.T. ; Lennartson, B.

A two-Riccati equation solution to the H control problem for periodic multirate systems is derived via the lifting method. The solution is expressed in terms of two algebraic Riccati equations. The causality constraints are represented by a set of positive definiteness conditions and coupling criteria. As a by-product, the study shows that there is a close connection between the solution of the causally constrained lifted problem and the solution obtained by solving the problem directly as a periodic H problem defined for the multirate system

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Automatic Control, IEEE Transactions on  (Volume:45 ,  Issue: 12 )