  This paper studies maximisation of an average-cost-per-unit-time ergodic
functional over impulse strategies controlling a Feller-Markov process. The
uncontrolled process is assumed to be ergodic but, unlike the extant
literature, the convergence to invariant measure does not have to be uniformly
geometric in total variation norm; in particular, we allow for non-uniform
geometric or polynomial convergence. Cost of an impulse may be unbounded, e.g.,
proportional to the distance the process is shifted. We show that the optimal
value does not depend on the initial state and provide optimal or $\ve$-optimal
strategies.
