Ricerc@Sapienza

This paper proposes a linear parameter varying (LPV) interval observer for state estimation and unknown inputs decoupling in uncertain continuous-time LPV systems. Two different problems are considered and solved: (1) the evaluation of the set of admissible values for the state at each instant of time; and (2) the unknown input observation, i.e. the design of the observer in such a way that some information about the nature of the unknown inputs affecting the system can be obtained.

In this paper two classical problems of interest in control theory, namely disturbance decoupling and the design of Unknown Input Observers (UIO), are revisited in the context of linear hybrid systems in the presence of state-driven jumps, induced by multi-affine sets. Interestingly, the latter feature renders the overall problem intrinsically nonlinear, hence classical (geometric) conditions cannot be straightforwardly applied.