Title :
Power control in wireless systems: a stochastic control formulation
Author :
Huang, Minyi ; Caines, Peter E. ; Charalambous, Charalambos D. ; Malhamé, Roland P.
Author_Institution :
Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, Que., Canada
Abstract :
This paper considers power control for log-normal fading channels. A rate based power set point control model and an associated performance measure are introduced. Within this framework, a unique stochastic optimal power control law exists, and the value function of the optimal control is a viscosity solution to the corresponding HJB equation. An interpretation of the nature of the resulting control laws is presented
Keywords :
cellular radio; fading channels; optimal control; power control; HJB equation; cellular telephone systems; constrained convex optimization; dynamic programming; log-normal fading channels; optimal control; performance measure; power control; rate based power set point control; stochastic optimal power control law; wireless systems; Control systems; Equations; Fading; Optimal control; Power control; Power measurement; Power system modeling; Stochastic processes; Stochastic systems; Viscosity;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945805
