Based on reduced-order causal observer-based controllers for singular systems, a new state-space realization of Bezout factorization composed of all proper stable transfer functions is established. The resulting parametrization of all causal properly stabilizing controllers is characterized. The relationships among the Bezout factorization in the present paper and the previous results are also discussed, which give explicit formulae of computing one from another. Keywords.
|Dynamics of continuous discrete and compulsive systems series A
|Published - 2006