Interval observers for continuous-time linear systems

Frédéric Mazenc (1, 2) , Michel Kieffer (2, 3, 4) , Eric Walter (2)

1 DISCO - Dynamical Interconnected Systems in COmplex Environments
2 L2S - Laboratoire des signaux et systèmes
3 LTCI - Laboratoire Traitement et Communication de l'Information
4 IUF - Institut Universitaire de France

We consider continuous-time linear systems with additive disturbances and discrete-time measurements. First, we construct an observer, which converges to the state trajectory of the linear system when the maximum time interval between two consecutive measurements is sufficiently small and there are no disturbances. Second, we construct interval observers allowing to determine, for any solution, a set that is guaranteed to contain the actual state of the system when bounded disturbances are present.

Domains: Computer Science [cs]; Automatic Control Engineering

Frédéric Mazenc, Michel Kieffer, Eric Walter. Interval observers for continuous-time linear systems. 2012 American Control Conference (ACC), Jun 2012, Montreal, Canada. pp.1-6, ⟨10.1109/acc.2012.6314646⟩. ⟨hal-00727787⟩