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CPSs are mainly applied to time and safety-critical remote programmable services, including remote automotive care and medical care. Two of the major design issues of the CPSs are optimality and predictability of battery lifetime of real-time wireless sensor networks (RT-WSNs). In this work, we have proposed ICAA to solve the first issue by maximizing the battery life of RT WSNs. We will focus on the second issue next. Because some safety-critical applications, such as medical care services, require that the network lifetime of RT-WSNs should be predictable, our goal is to minimize the distortion of RT-WSNs while guaranteeing their minimum network lifetime.