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Coprime factors reduction methods for linear parameter varying and uncertain systems. (English) Zbl 1129.93352
Summary: We present a generalization of the coprime factors model reduction method of Meyer and propose a balanced truncation reduction algorithm for a class of systems containing linear parameter varying and uncertain system models. A complete derivation of coprime factorizations for this class of systems is also given. The reduction method proposed is thus applicable to linear parameter varying and uncertain system realizations that do not satisfy the structured \(\ell _{2}\)-induced stability constraint required in the standard nonfactored case. Reduction error bounds in the \(\ell _{2}\)-induced norm of the factorized mapping are given.

MSC:
93B25 Algebraic methods
93C41 Control/observation systems with incomplete information
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