Abstract

The output-feedback H∞ control problem is solved for continuous-time, linear, retarded and neutral type systems. A delay-dependent solution is obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park's inequality for bounding cross terms. An output-feedback controller is found by solving two LMIs, one of which is associated with a descriptor time-delay 'innovation filter'. Numerical examples axe given which illustrate the effectiveness of the new theory.

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