This paper describes a bank-customer model and proposes a control
scheme algorithm that is guaranteed to obtain a desired capital-to-asset ratio. The
control system used a Sliding Mode Controller (SMC) that is compared to a pro-
portional integral (PI) controller. The SMC offers the possibility to obtain, after a
dynamic transient of the controlled system that can be arbitrarily minimized, a neg-
ative error between capital/asset ratio and the ratio required by the bank under the
Basel regulatory framework, which should converge to zero. The two simulation
results are compared and discussed.The bank’s assets are estimated by a Kalman
filter for simulating a scenario where some economic information is uncertain.