In a saucepan, soften the vegetables in butter for about 5 minutes.
Add the sausages and cook for another 5 minutes. Add salt and pepper.
Sprinkle flour and mustard while stirring. Continue cooking for one minute. Add beer, bring to a boil while stirring.
Add broth and cream. Bring to a boil and simmer gently for about 15 minutes or until vegetables are tender.
Over low heat, using a whisk or a wooden spoon, add the cheese gradually, stirring and allowing it to melt between each addition to prevent the mixture from dissolving. Adjust seasoning.