Brian David Mitchell was moaning and lying on the floor, as paramedics rushed to his side.
Mitchell's former stepdaughter, Rebecca Woodridge, says the defendant has been housed in a jail medical unit recently because of seizure issues.
Smart was 14 when she was taken from her home at knifepoint. She was found nine months later.
Mitchell is charged with kidnapping and unlawful transportation of a minor across state lines for the purposes of illegal sexual activity. If convicted, Mitchell could spend the rest of his life in prison.
The former street preacher has been disrupting court proceedings on a daily basis with hymn singing and yelling.
Mitchell's attorneys contend that he is mentally ill and can't be held responsible for the crimes.