The biological term Homeostasis refers to an organisms ability to maintain steady states of operation in a massively changing internal and external environment. Pervasive Adaptive (PerAda) systems operate in potentially hostile environments where there is a need to cope with a wide variety of changes, over multiple timescales, deal with interacting agents, cope with degraded data and cope with failing components. In the context of this paper, we consider the case of a swarm, and organism, of robotic units, as those developed as part of the SYMBRION project. Such a collective robotic system can be considered a case of a PerAda system. Our position is that for such systems to operate for extended periods of time, without human intervention, they should be homeostatic and that it is possible to develop such homeostatic PerAda systems inspired by the immune system.