Due to the atomic-level centrosymmetric spontaneous polarization, antiferroelectric materials exhibit a sensitively nonlinear capacitive response to plural physic fields (mainly electric field and temperature) in a certain range, consequently leading to some superb material properties, e.g., ripple suppression, electrocaloric cooling, and dielectric energy storage. However, there are many cognitive blanks about how this exotic multi-field relation ε(EDC, T) is influenced and manipulated via microscopic structures in the antiferroelectrics. In this work, the classic antiferroelectric ceramics PLZT were selected to see this intelligent effect, based on a quad-parameterized ε(EDC) relation on the dependence of T. ε relations were studied under different material compositions, temperature, frequency, AC electric field, and DC electric field, revealing lattice/domain structure evolution and the underlying mechanism. The inherent phase stability, introduced random field, and hierarchical hysteresis states were found to co-dominate this multi-field nonlinear relation. This work would not only contribute to future progress in the current applications (ripple suppression/electrocaloric cooling/dielectric energy storage) but imply the possibility of co-sensing temperature and electric potential simply and smartly.