Achieving Pareto Optimal Power Tracking Control for Interference Limited Wireless Systems via Multi-Objective H-2/H-infinity Optimization

作者：Lin Che^*; Chen Bor Sen

来源：IEEE Transactions on Wireless Communications, 2013, 12(12): 6154-6165.

DOI：10.1109/TWC.2013.103113.130016

• Multi-objective optimization problem (MOP)
• linear matrix inequality (LMI)
• power control
• interference limited networks
• Pareto optimal solution

To track a desired signal-to-interference-plus-noise-ratio (SINR) that allows for higher system throughput and better link quality in an interference limited wireless communication system, a feedback power controller is designed to obtain the optimal SINR tracking control. In this paper, we propose the multi-objective (MO) H-2/H-infinity optimal power control for interference limited wireless systems that provides quality solutions for both objectives. The considered multi-objective H-2/H-infinity power tracking control is complicated in nature and an equivalent formulation that minimizes the upper bounds of both objectives is proposed. Furthermore, the resulting constraints for the MO H-2/H-infinity power control problem is transformed as three linear matrix inequalities (LMIs), leading to a LMIs-constrained MO problem (MOP). By combining the LMI toolbox in MATLAB with an evolutionary searching algorithm, a set of H-2/H-infinity solutions called Pareto optimal solutions can be obtained and a particular solution can be selected based on the tradeoff determined by the system designer. Finally, to illustrate our design procedure, we provide numerical simulations for a typical interference limited wireless system, i.e., a direct-sequence code division multiple access (DS-CDMA) cellular system. Simulation results demonstrate that the optimal tradeoff indeed can be achieved by the proposed MO H-2/H-infinity power control.

• 出版日期2013-12
• 单位清华大学