Title :
Achieving Pareto Optimal Power Tracking Control for Interference Limited Wireless Systems via Multi-Objective H_2/H_infty Optimization
Author :
Che Lin ; Bor-Sen Chen
Author_Institution :
Inst. of Commun. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan
Abstract :
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) H2/H∞ optimal power control for interference limited wireless systems that provides quality solutions for both objectives. The considered multi-objective H2/H∞ 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 H2/H∞ 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 H2/H∞ 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 H2/H∞ power control.
Keywords :
H∞ optimisation; Pareto optimisation; code division multiple access; evolutionary computation; feedback; interference (signal); linear matrix inequalities; optimal control; power control; DS CDMA cellular system; LMI toolbox; MATLAB; Pareto optimal power tracking control; Pareto optimal solutions; direct sequence code division multiple access; evolutionary searching algorithm; feedback power controller; interference limited wireless communication system; interference limited wireless systems; linear matrix inequalities; multiobjective H infinity optimal power control; multiobjective H infinity optimization; numerical simulations; optimal SINR tracking control; signal to interference plus noise ratio; Interference; OFDM; Pareto optimization; Power control; Signal to noise ratio; Target tracking; Wireless communication; Multi-objective optimization problem (MOP); Pareto optimal solution; interference limited networks; linear matrix inequality (LMI); power control;
Journal_Title :
Wireless Communications, IEEE Transactions on
DOI :
10.1109/TWC.2013.103113.130016