Journal
SYSTEMS & CONTROL LETTERS
Volume 57, Issue 3, Pages 193-199Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2007.08.007
Keywords
robust control H-infinity; time delay; output feedback; LMI; polytopic uncertainty; distillation column
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The problem of designing robust dynamic output-feedback controllers for linear, continuous, time-invariant systems with uncertain time-delay in the measured output and/or the control input and with polytopic type parameter uncertainties is considered. Given a transfer function matrix of a system with uncertain real parameters that reside in some known ranges, an appropriate, not necessarily minimal, state-space model of the system is described which permits reconstruction of its states. The resulting retarded model incorporates the uncertain parameters of the transfer function matrix in the state-space matrices and the uncertain time-delay that occurs in the control channel. To this model, the recent theory of robust H-infinity state-feedback control for retarded systems is applied. The theory is used to solve a benchmark problem of distillation column robust control design. (C) 2007 Elsevier B.V. All rights reserved.
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