Abstract
In this paper, we deal with single-input single-output systems of the form on a separable Hilbert space H, where the operator A is the generator of an exponentially stable C0-semigroup on H, b ϵ H, C is a A -admissible linear operator and w is an arbitrary constant disturbance vector in H. We propose a low-gain PI-controller which stabilizes and regulates the system such that, for a given reference constant yr, y(t) tends to yr independently of w as t → + ∞ . Our result generalizes the previous one of Pohjolainen (1982) in that the semigroup is not necessarily holomorphic. A numerical example will be given to illustrate the application of the theory.
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