Novichek_pro,
<!DOCTYPE html>
<html>
<head>
<title>Untitled</title>
<meta charset="utf-8">
<style type="text/css"> #slider2 { margin: 10px; height: 300px; }
</style>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/1.12.4/jquery.min.js"></script>
<link rel="stylesheet" href="https://ajax.googleapis.com/ajax/libs/jqueryui/1.11.4/themes/smoothness/jquery-ui.css">
<script src="https://ajax.googleapis.com/ajax/libs/jqueryui/1.11.4/jquery-ui.min.js"></script>
<script>
$(function() {
$("#slider2").slider({
orientation: "vertical",
min: 0,
max: 1,
step: 0.1,
value: 1,
animate: 1200
});
$('#buttonClick').on('click', function(){$("#slider2").slider( "value",.5 ); })
});
</script>
</head>
<body>
<div id="slider2"></div>
<div id="buttonClick">buttonClick</div>
</body>
</html>