Title: Joint control of power and rates of wireless networks based on Nash game

Authors: Shulan Kong; Wen Chen

Addresses: School of Mathematics Science, Qufu Normal University, Qufu, China ' Division of Engineering Technology, Wayne State University, Detroit, MI, USA

Abstract: This paper proposes a distributed joint control of power and rate for a wireless network where two master nodes are operating at same time. The control problem of joint power and rates is formulated using Nash game technique that is stochastic linear-quadratic Gaussian and has a non-zero sum. In the considered wireless network, the two active master nodes have access only to noise-corrupted measurements of the power and rates. When each master node uses a linear Kalman-filter-like state estimator and when a one-step delayed output and a one-step delayed control input of the power and rates are given, an optimal and joint strategy for control of each master node's power and rates is presented. The optimal controllers of the two nodes for the closed-loop Nash equilibrium solution are interrelated and cannot be determined separately. They demonstrate a cooperative and influential relationship between the operating master nodes.

Keywords: stochastic LQC; linear quadratic Gaussian; Nash equilibrium; power control; wireless networks; master nodes; rates.

DOI: 10.1504/IJAAC.2016.075136

International Journal of Automation and Control, 2016 Vol.10 No.1, pp.1 - 11

Available online: 04 Mar 2016 *

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