He was elected mayor in 2012 with nearly 48 percent of all votes cast.
In most other states, the party won around 1 percent of the total votes cast.
Some 54 percent of the party's 1.04 million members cast their ballots.
The following year, Smith only received 185 votes, or 37 percent of the 506 total ballots cast.
In 2007, Smith's received only 217 votes, just 40 percent of the 545 total ballots cast.
In 2004, it received more than 75 percent of the votes cast.
Last month, the proposal got 43 percent of the votes cast.
He needs 25 percent of the votes cast at the meeting to take a seat on the board.
Over 20 percent of voters in Texas had already cast their ballots.
Some 70 percent of the shares cast at the meeting favored the changes.