The plight of the poor is not an economic problem it is purely a political one. Progress in technology isn't really a root cause of poverty, rather a proximate cause with the root cause being "because the fruits of technology are not adequately shared by government policy", a policy issue.

Tax the billionaires and do what government is supposed to do (use that money to protect the safety of their people), it won't matter if they make their wealth via robots or via people.