You should use the TypeDescriptor class:
public static T Convert<T>(this string input)
{
try
{
var converter = TypeDescriptor.GetConverter(typeof(T));
if(converter != null)
{
// Cast ConvertFromString(string text) : object to (T)
return (T)converter.ConvertFromString(input);
}
return default(T);
}
catch (NotSupportedException)
{
return default(T);
}
}