A novel numerical method for exact model matching problem with stability

Chu, Delin;Van Dooren, Paul
(2006) Automatica — Vol. 42, n° 10, p. 1697-1704 (2006)

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Authors
  • Chu, Delin
    Author
  • Van Dooren, PaulUCLouvain
    Author
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. (C) 2006 Elsevier Ltd. All rights reserved.
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Chu, D., & Van Dooren, P. (2006). A novel numerical method for exact model matching problem with stability. Automatica, 42(10), 1697-1704. https://doi.org/10.1016/j.automatica.2006.04.024 (Original work published 2006)