1 research outputs found
Simultaneous input and state set-valued \mathcal{H}_{\infty}-observers for linear parameter-varying systems
A fixed-order set-valued observer is presented for linear parameter-varying
systems with bounded-norm noise and under completely unknown attack signals,
which simultaneously finds bounded sets of states and unknown inputs that
include the true state and inputs. The proposed observer can be designed using
semidefinite programming with LMI constraints and is optimal in the minimum
\mathcal{H}_{\infty}-norm sense. We show that the strong detectability of each
constituent linear time-invariant system is a necessary condition for the
existence of such an observer, as well as the boundedness of set-valued
estimates. Furthermore, sufficient conditions are provided for the upper bounds
of the estimation errors to converge to steady state values and finally, the
results of such a set-valued observer are exhibited through an illustrative
example.Comment: 6 page