ABSTRACT
This chapter introduces a multi-objective beamforming power control scheme to achieve robust quality of service, optimal signal-to-interference-plus-noise ratio target tracking and the minimum average power consumption simultaneously in a multicell multiuser MIMO (multicell MU-MIMO) wireless system with imperfect channels. The advantages of the proposed multi-objective beamforming power control optimization method are threefold. First, the proposed power control scheme can simultaneously achieve three objectives as follows: (1) optimal H∞ robust SINR target tracking performance, (2) optimal H2 SINR target tracking performance, and (3) the minimum average power consumption in the multicell MU-MIMO wireless communication system. The proposed multi-objective optimization problem is equivalently derived as an MOP by minimizing the corresponding upper bounds under the constraint of a set of linear matrix inequalities. Second, without the requirement of statistical information and the norm-bounded condition of channel uncertainty, the effect of intercell interference, intracell interference, channel uncertainty, round trip delay, and noise can be efficiently attenuated by the proposed robust SINR target tracking method. Third, through the proposed LMI-constrained multi-objective evolution algorithm, the designer can obtain Pareto optimal solutions efficiently with good distribution along the Pareto front to achieve the proposed multi-objective power control design. Several simulation examples with the proposed multi-objective control schemes are produced with favorable results under the guarantee of theoretical analysis.
