Abstract
In this paper, a theory on the types of linear multivariable systems is developed in the state space approach. The following is our contribution to a study of system type.
(i) A method is developed for determining the system type of a given plant.
(ii) A necessary and sufficient condition is obtained for the existence of a compensator such that the composite system of the given plant and the compensator is observable and is of a desired system type.
(iii) A method is developed for designing a minimal-order compensator such that the composite system of the given plant and the compensator is observable and is of a desired system type.
In the development only simple matrix operations are involved. The first method is easier than those of earilier works. The second condition and the third method are new useful results for the theory of system type. These are indicated by using an example.
