In general, power control schemes are sensitive to the variation of round trip delay in the communication
networks. Hence, this paper examines the problem of designing a robust mode dependent H∞ Proportional-Integral (PI)
power control scheme for Code Division Multiple Access (CDMA) mobile communication systems. A finite state Markov
process is used to model the random round-trip delay between a mobile unit and a base station. Based on Lyapunov-
Krasovskii functional, a novel methodology for designing a robust H∞ mode delay dependent PI power controller is
given in terms of bilinear matrix inequalities (BMIs). Furthermore, an iterative algorithm is used to convert the BMIs into
quasi-convex optimization problem which can be solved easily by the LMI Matlab Toolbox. In terms of the standard
deviation of the power tracking error and the outage probability, the performance of the proposed control design is
compared with an existing power control scheme.
Keywords: H∞ infinity control, CDMA, network-induced delay.
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