Seconding the recommendation for the Helmsman - excellent products.
Other options would be either an LGB or Piko 5-amp controller and suitable power supply.... something like this:
Elektron. Fahrregler 5 A LGB 51079 + Netzteil + Adapter
or this: PIKO 35002 ELECTRONIC ANALOG SPEED CONTROLLER 22V/5A TopSlots n Trains
plus one of these: WEATHER RESISTANT TRANSFORMER IP67 100VA PIKO 35000 TopSlots n Trains!
Or, take the plunge and decide to go Digital (DCC).....
Jon.
You need to understand that 5 amps at 22 volts is 110 VA, so you need a supply that is greater than 110va and there are losses, so I would say 120va or more is needed.