A novel numerical method for exact model matching problem with stability

Authors:
Delin Chu;Paul Van Dooren
Affiliations:
Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543, Singapore;Department of Mathematical Engineering, Catholic University of Louvain, Avenue Georges Lemaitre 4, B-1348 Louvain-la-Neuve, Belgium
Venue:
Automatica (Journal of IFAC)
Year:
2006

Citing 2
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Abstract

In system design the exact model matching problem with stability consists of compensating a given system, using a realizable control law of a specified structure, in order to ensure the stability of the compensated system and achieve a target closed-loop transfer function. In this paper we develop a novel numerical method to verify the solvability of the problem for left invertible systems and further construct a desired solution. Our method has a complexity which is cubic in the state dimension of the system and the desired model and can be implemented in a numerically reliable way.