Network-based H<inf>∞</inf> control of systems with packet dropout and time-varying sampling period

Abstract

This paper is concerned with the problem of H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> controller design for networked control systems (NCSs) with time delay, packet dropout and time-varying sampling period. The considered NCSs may receive more than one control input during a sampling period. A multi-objective optimization methodology in terms of linear matrix inequalities (LMIs) and the discrete Jensen inequality are adopted to deal with the problem of H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> controller design for NCSs with time-varying sampling period. The proposed H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> controller design is also applicable for NCSs with constant sampling period. The simulation results illustrate the effectiveness of the proposed H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> controller design.