A state-variable representation of the Wiener–Hopf controllersWiener–Hopf controllerH2 controller determined in Chap. 10.1007/978-3-030-44356-6_3 for strictly acceptable persistent inputs is developed in this chapter for both the analog and digital cases. First, a generalized Bezout identity (GBI) in stable rational matrices is derived from a polynomial GBI. Then the Wiener–Hopf controllers in Chap. 10.1007/978-3-030-44356-6_3, which are described in terms of the parameters in a polynomial GBI, are described instead by the parameters in a stable rational GBI. A state-space representation for the stable rational GBI description is then obtained from two algebraic Riccati equations making it possible to find a state-space representation for the Wiener–Hopf controllers. It is shown that the frequency-domain assumptions which guarantee the existence of the Wiener–Hopf controllers correspond to equivalent ones in the state-space domain.


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    Title :

    Numerical Calculation of Wiener–Hopf Controllers


    Contributors:

    Published in:

    Publication date :

    2020-07-10


    Size :

    64 pages




    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English





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