Blue penstemon

I have an old penstemon that flowers reasonably well but it's become very woody and overgrown.
Can't remember the name but flowers start off blue and fade to pink
If I cut it right back, would it rejuvenate or should I just give it a bit of a tidy up? It's got pulmonaria, wild strawberry and other things growing through it which I'd like to remove if possible
Here's the patient

 

I'd just cut the floor heads off down to the nearest leaf joint, it may well flower again. I wouldn't cut it down to the base until next Spring, assuming it survives the winter of course !

The only 2 blue penstemon varieties that I can think of off the top of my head are Heavenly Blue and Catherine de la Mare (sp ?)

 

Heavenly Blue sounds familiar. It's survived about 10 winters so it'll probably manage another. The spring would probably be the best time to get the weeds out too.
Thank you @AnniD