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A minimal lattice realization for multivariable systems - MaRDI portal

A minimal lattice realization for multivariable systems (Q805572)

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scientific article; zbMATH DE number 4204242
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English
A minimal lattice realization for multivariable systems
scientific article; zbMATH DE number 4204242

    Statements

    A minimal lattice realization for multivariable systems (English)
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    1990
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    An algorithm for constructing a minimal lattice realization of a multivariable stable linear discrete-time system is proposed. The algorithm consists of four steps. (i) Transform a reachable and observable state space representation into an input normal Hessenberg realization (A B C D). (ii) Construct an input normal Hessenberg realization (F G H J) of an LBR system from (A B C D). (iii) Construct a lattice realization of the LBR system (F G H J). (iv) Transform the lattice realization of (F G H J) into a lattice realization of (A B C D). The step (iii) is the main procedure of the algorithm.
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    controller design
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    frequency response matching
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    algorithm
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    minimal lattice realization
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    multivariable stable linear discrete-time system
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    Hessenberg realization
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