Is there any way to open/update a page in browser in a named tab?

I've added a feature to my plugin that allows users to preview/show content for the plugin's custom markup languages in the browser.  I'm currently using BrowserUtil.browse() to do this.  The problem is that every time the action is invoked, a new tab is created in the browser (obviously based on how the browser is configured, of course).  In a perfect world I'd prefer to have a new tab(/window) opened the first time a given piece of content is sent to the browser, then have that same tab(/window) updated in-place on subsequent actions.  Is there any way to do this?