  Neutral hydrogen (HI) intensity mapping (IM) surveys are considered a
promising tool for investigating the expansion history of the Universe. In this
work, we explore the potential of MeerKAT HI IM observations in interferometer
mode to estimate the power spectrum and constrain cosmological parameters
within typical dark energy models. We employ an approach called the "delay
spectrum," which allows us to separate the weak HI signal from foreground
contamination in the frequency domain. Our findings indicate that the choice of
survey fields significantly impacts the fractional errors on the power spectrum
($\Delta P/P$) within a limited observational time of 10 hours. As the
integration time increases from 10 hours to 10,000 hours, $\Delta P/P$
progressively decreases until cosmic variance begins to dominate. For a total
observation time of 10,000 hours, the lowest $\Delta P/P$ at low $k$ can be
achieved by tracking 100 points for MeerKAT L-band (900-1200 MHz) and 10 points
for MeerKAT UHF-band (580-1000 MHz). Next, we assess the performance of HI IM
in constraining typical dark energy models. We find that MeerKAT HI IM survey
in interferometer mode demonstrates limited capability in constraining the
dark-energy equation of state, even when combined with Planck data.
