Robust \(l_1\) estimation using the Popov-Tsypkin multiplier with application to robust fault detection. (English) Zbl 1014.93041
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.
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.
Reviewer: M.Megan (Timişoara)
MSC:
93E10 | Estimation and detection in stochastic control theory |
93D10 | Popov-type stability of feedback systems |
90B25 | Reliability, availability, maintenance, inspection in operations research |
93C95 | Application models in control theory |
93C55 | Discrete-time control/observation systems |