最小積分左逆システムに関する研究

抄録

This paper defines [σ1, σ2, …, σp] integral left invertibility which is a generalization of L-integral left invertibility given by Sain and Massey. A necessary and sufficient condition is obtained for the existence of a [σ1, σ2, …, σp] integral left inverse system of a linear time-invariant dynamical system. And a constructing algorithm of a [σ1, σ2, …, σp] integral left inverse system for suitable {σ1, σ2, …, σp} such that the system is integral left invertible is presented. Furthermore, the integrator decoupling problems of multivariable systems having the number of inputs more than that of outputs are considered as an application of the discussion about the left inverse system. A necessary and sufficient condition for the integrator decoupling by special state feedback is presented.