Light Aircraft Association

What autopilot systems are accepted by the LAA these days? I’ve a 450kg 3 axis microlight that is terribly unstable in roll and an utter pig to keep on a fixed heading for any duration.

There's something wrong with your aeroplane, an autopilot will not solve it.
You are talking about an autostablisation system, none of the autopilots available will do that.

Velar,

Out of interest, what is your aircraft type?
Something doesn't sound right with stability..

It's a Zenair CH701. I've flown 2 others, each of which can't keep a heading for anything more than 3 seconds hands-off. On long journeys it's fatiguing; a threat which autopilots manage. Every other aircraft I fly has an autopilot but I have no experience of microlight category options.

The original question reworded is, what choices has anyone experience of in the market today?

Just a suggestion, have you contacted LAA Engineering about the stability issues you are encountering with the aircraft? I wouldn't have thought the type would be accepted onto the LAA books with those sorts of stability issues.
I don't have any knowledge of autopilot systems.
FYI, my 1948 Piper flies hands off.....