New H<inf>∞</inf> controller design method for networked control systems with quantized state feedback

Abstract

The problems of H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> stability and stabilization for networked control systems (NCSs) with state and control signal quantizations are considered, and a new sector bound approach is proposed. Unlike the previous works, the transform of system models to uncertain systems is not needed, which results in that the proposed controller design method is simpler. Even for the NCSs with only state quantizations, the newly obtained results are less conservative than the existing ones. Meanwhile, they are also less complex since fewer decision variables are involved. Illustrative examples are given to show the effectiveness and less conservatism of the proposed methods.