Quantized Output-feedback Control with Multiplicative Measurement Noises

In this paper, we consider the problem of quantized quadratic performance control for a class of stochastic systems which are subject to multiplicative noises in the measurement. A dynamic output feedback controller is designed to guarantee a given level of performance. By using the sector bound approach to characterize the quantization error, the existence of a solution for the quantized quadratic performance control problem is found by solving the so-called guaranteed cost control problem of the associated system with a sector bounded uncertainty. We shows that the latter problem can be solved using linear matrix inequalities (LMIs). Copyright c © 2010 John Wiley & Sons, Ltd.