There are many possible circuits to do what you want � but the simplest is to limit the LED current via resistance.
Based on a maximum circuit current draw of 0.4A, (without going into the maths), a 4,700�F reservoir capacitor will give your rectified dc voltage ripple of around 1V, which should be fine for this application.
To calculate your required resistance value, you need to measure the rectified dc supply voltage. This may well be over 20Vdc, due to the transformer regulation at full load. The required resistance is calculated from the supply voltage minus the LED voltage (x4) divided by the required current.
e.g. at a supply voltage of 20Vdc and an LED voltage of 13.6Vdc, gives a voltage drop of 6.4V. At 100mA gives a resistance value of 64Ω. At 20mA the required resistance value is 320Ω. By having 4 LEDs connected in series with a 64Ω fixed resistor and a 270Ω variable resistor will enable you to adjust the LED current from 20mA up to 100mA.
Once you have adjusted the LED brightness to the required level � you can determine the current flow by measuring the voltage drop across the two resistors, power down the circuit and measured the value of the resistance. The current flow is simply the measured voltage divided by the resistance.
One final thought, 100mA is the absolute maximum rating of the LEDs, at 100mA their expected life is likely to be significantly less than that at 20mA. You may find yourself buying another 50 LEDs.