In this talk, we focus on the problem of designing an observer to exponentially reconstruct the state of an LTI system in the presence of sporadic measurements.  In particular, two observer schemes will be analyzed. The first one combines a continuous-time copy of the plant along with instantaneous resets of the observer state to achieve exponentially convergence of the estimation error. The second one instead builds on a Luenberger observer for which the output estimation error signal is generated by a linear system whose state is reset to the measured output estimation error each time a new measurement is available.
In both cases, the resulting error system is augmented with a timer triggering the arrival of a new measurement and analyzed in the hybrid system framework by [Goebel et al. 2012]. The design of the observer is performed to achieve global exponential stability of a set wherein the estimation error is equal to zero.
Moreover, computationally tractable conditions are proposed to design the proposed observers via the solutions to certain linear matrix inequalities.
Some examples show the effectiveness of the proposed methodology.

Location:
Room: EV11.119
Bldg: Concordia University, 1515 St. Catherine West
Montreal, Quebec