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Some remarks on pole assignability of distributed parameter systems

Kobayashi T.

Archives of Control Sciences

1998

Vol. 7, no. 1/2

33-41

The pole assignment problem of distributed parameter systems with unbounded feedback is discussed. The problem can be solved under a weaker restriction between the open-loop poles { lambda /sub n/} and the closed-loop poles { beta /sub n/}. Two types of the expression of a characteristic equation whose roots are the closed-loop poles are first given. Next a feedback element is given which realizes the desired pole assignment of the closed-loop system. An interesting result is shown that an infinite number of the open-loop poles { lambda /sub n/} can be shifted such that | lambda /sub n/- beta /sub n/|=O(| lambda /sub n/|/sup (1- epsilon /2)/) ( epsilon : sufficiently small positive number) for all n.