Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Abstract In this chapter we derive a rational approximation method for multivariable systems. The method is formulated using the state-variable description presented in the previous chapter. The reason for introducing yet another method is that the methods treated so far are not easily extended to the multivariable case. This is particularly true for the CF method which is the preferred method so far investigated. One essential property used for that method is that the polynomial related to the (N + 1)th singular vector has exactly N zeroes inside the unit circle. This property does not hold for multivariable systems. While optimal Hankel-norm approximations have been derived by Kung [KL81b, KL81a] and by Glover [Glo84] in the context of model reduction, a method for the realization problem has apparently not been found yet. On the other hand, there are methods available based on balancing which are not quite as accurate but numerically more attractive. A critical survey of different methods can be found in [KA87].
Abstract In this chapter we derive a rational approximation method for multivariable systems. The method is formulated using the state-variable description presented in the previous chapter. The reason for introducing yet another method is that the methods treated so far are not easily extended to the multivariable case. This is particularly true for the CF method which is the preferred method so far investigated. One essential property used for that method is that the polynomial related to the (N + 1)th singular vector has exactly N zeroes inside the unit circle. This property does not hold for multivariable systems. While optimal Hankel-norm approximations have been derived by Kung [KL81b, KL81a] and by Glover [Glo84] in the context of model reduction, a method for the realization problem has apparently not been found yet. On the other hand, there are methods available based on balancing which are not quite as accurate but numerically more attractive. A critical survey of different methods can be found in [KA87].
Balanced Realization
Weber, Renedikt (Autor:in)
01.01.1994
17 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
| Wiley | 2015
British Library Online Contents | 1996