Quantized H[infinity] Static Output Control for Linear Systems with Interval-Bounded Additive Controller Coefficient Variations

Abstract

This paper investigates insensitive H∞ control problems for linear continuous-time systems with input and measurement quantization via static output feedback (SOF). The designed controllers are insensitive to additive interval-bounded controller coefficient variations and are made up of two parts as linear and nonlinear parts. The former is used to achieve the H∞ performance against external disturbances, unknown initial states and controller coefficient variations. The latter is used to attenuate the effect of input and measurement quantization simultaneously. It should be mentioned that three novel linear matrix inequality (LMI) conditions by using three different methods without introducing a matrix equality constraint as many existing results are obtained. Finally, a numerical example is presented to show the effectiveness and advantages of the proposed methods.