This paper considers the problem of robust \(l_1\)-estimation for uncertain, linear discrete-time systems and its applications to the robust fault detection of dynamic systems. By considering a flight longitudinal system, it is shown that the robust fault detection methodology based on the robust \(l_1\) estimation framework is capable of significantly reducing false alarm rates.
A numerical example is presented to illustrate the robust \(l_1\) estimator using the Popov-Tsypkin multiplier and the application of the robust \(l_1\) estimator to robust fault detection of dynamic systems.