Try code like:
string saveFilter;
ArrayList saveStyles;
private void button4_Click(object sender, System.EventArgs e)
{ //save the filter settings
saveStyles = new ArrayList();
for(int col = 1; col <= this.gridDataBoundGrid1.Model.ColCount; ++col)
saveStyles.Add(this.gridDataBoundGrid1.GetViewStyleInfo(1, col, true));
this.saveFilter = this.theFilterBar.RowFilter;
}
private void button5_Click(object sender, System.EventArgs e)
{ //apply the saved filter settings
for(int col = 1; col <= this.gridDataBoundGrid1.Model.ColCount; ++col)
this.gridDataBoundGrid1[1, col] = saveStyles[col-1] as GridStyleInfo;
this.theFilterBar.RowFilter = this.saveFilter;
this.gridDataBoundGrid1.Refresh();
}