Stability control of multi-parameter adaptive wireless communication systems based on multi-Lyapunov function

With the occurrence of burst interference, bit error rate (BER) stability of the wireless communication system (WCS) always degrades significantly. To cope with it, a stability control algorithm is proposed, utilizing the stability theory of switched systems, which is specifically applicable for multi-parameter adaptive WCS with spectrum sensing ability, and it is capable of stabilizing BER within a reasonable range. Firstly, WCS is modeled as a switched system. Then, based on the multi-Lyapunov function, controlling rules are presented to enable the switched system to satisfy stable condition asymptotically. Finally, analysis and numerical simulation results demonstrate that the switched WCS with the proposed controlling rules is superior to conventional power-controlled WCS with or without state feedback control in terms of stability performance.