let's make this simple...
Power in WATTS is equal to Volts times Amperes, correct?
Power requirement for your laptop based on output of original adapter:
18.5V x 3.5A = 64.75 watts
Output of Universal Adapter at 18V (based on the link you provided):
18V x 1.9A = 34.2 watts
Even if you set it to 24V (again based on the link):
24V x 1.5A = 36 watts
Given the above, even if you set the universal adapter to maximum voltage, you still cannot get the power required by your laptop. I think you need one similar to this
adapter. Personally I would still go with brand if it comes to power adapters... (again, less headache

)
What is your brand and model of laptop btw?