Quantized output-feedback control for linear systems with multiplicative noises in measurement

In this paper, we consider the quantized quadratic performance control problem for a class of stochastic systems which are subject to multiplicative noises in the measurement, we look for a dynamic output feedback controller to guarantee certain level of performance. By using the sector bound approach to characterize the quantized error, we show that the existence of the solution of quantized quadratic guaranteed cost problem can be found by solving the so-called guaranteed cost control problem of the associated system with sector bound uncertainty. The main result of this paper show that this problem can be effectively solved using linear matrix inequalities (LMIs).