The paper is concerned with the H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> consensus control problem for discrete-time stochastic multi-agent systems with both additive and multiplicative noises. A novel control protocol, namely, PD-type (proportional-derivative-type) control protocol, is proposed to improve the consensus dynamics. By resorting to the well-known Lyapunov stability theory and the matrix inequality techniques, some sufficient conditions are developed to guarantee the considered H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> consensus. Furthermore, the analytical formula of the controller gains is established with help from the singular value decomposition approach. Finally, the effectiveness of the proposed consensus control scheme is demonstrated through a numerical simulation example.
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