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IMA Journal of Mathematical Control and Information 1991 8(2):121-133; doi:10.1093/imamci/8.2.121
© 1991 by Institute of Mathematics and its Applications
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Robustness Optimization for Uncertain Infinite-Dimensional Systems with Unbounded Inputs

A. J. PRITCHARD and S. TOWNLEY

Mathematics Institute, University of Warwick Coventry CV4 7AL
Department of Mathematical Sciences, University of Exeter Exeter EX4 4QJ

In this paper, we consider the problem of robustness optimization for infinite-dimensional systems with respect to a class of bounded feedback-control laws. Both unbounded inputs and perturbations are allowed, where the well-posedness of the abstract controlled perturbed system is guaranteed by specifying Pritchard-Salamon-type conditions on the system parameters. The solution of the problem is determined via a doubly parameterized weak algebraic Riccati equation.


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