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Robust controller for systems with exponentially stable strongly continuous semigroups. (English) Zbl 0577.93037

The robust controller problem is to guarantee output regulation in the presence of perturbations and, possibly, system parameter variations. Here the reference and perturbation signals are assumed to be constants, but the system itself is a linear infinite-dimensional system whose system operator is the infinitesimal generator of an exponentially stable, strongly continuous semigroup. Both boundary controls and perturbations are allowed and an example of a hyperbolic system is presented.
Reviewer: R.Curtain

MSC:

93C25 Control/observation systems in abstract spaces
93B35 Sensitivity (robustness)
93C05 Linear systems in control theory
47D03 Groups and semigroups of linear operators
49K40 Sensitivity, stability, well-posedness
93C20 Control/observation systems governed by partial differential equations
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References:

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