  We focus on the realistic maximization of the uplink minimum
signal-to-interference-plus-noise ratio (SINR) of a general multiple-input
single-output (MISO) system assisted by an intelligent reflecting surface (IRS)
in the large system limit accounting for HIs. In particular, we introduce the
HIs at both the IRS (IRS-HIs) and the transceiver HIs (AT-HIs), usually
neglected despite their inevitable impact. Specifically, the deterministic
equivalent analysis enables the derivation of the asymptotic weighted
maximum-minimum SINR with HIs by jointly optimizing the HIs-aware receiver, the
transmit power, and the reflect beamforming matrix (RBM). Notably, we obtain
the optimal power allocation and reflect beamforming matrix with low overhead
instead of their frequent necessary computation in conventional MIMO systems
based on the instantaneous channel information. Monte Carlo simulations verify
the analytical results which show the insightful interplay among the key
parameters and the degradation of the performance due to HIs.
