A system and method for determining a Physical Uplink Control Channel (PUCCH) power control parameter h(nCQI,nHARQ) for two Carrier Aggregated (CA) PUCCH formats-PUCCH format 3 and channel selection. The value of h(nCQI,n HARQ) may be based on only a linear function of nHARQ for both of the CA PUCCH formats. Based on the CA PUCCH format configured for the User Equipment (UE), the e-Node B (eNB) may instruct the UE to select or apply a specific linear function of nHARQ as a value for the power control parameter h(nCQI, nHARQ), so as to enable the UE to more accurately establish transmit power of its PUCCH signal. Values for another PUCCH power control parameter-ΔF_PUCCH(F) are also provided for use with PUCCH format 3. A new offset parameter may be signaled for each PUCCH format that has transmit diversity configured.