2019/06/04 by Alexandre Kircher, Laurent Bako, Kircher, Alexandre +5 · 1 citation
Engineering · #Advanced Control Systems Optimization #Control Systems and Identification #FOS: Electrical engineering #Fault Detection and Control Systems #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1906.01714
openalex publication_date 2019/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper proposes a class of resilient state estimators for LTV\ndiscrete-time systems. The dynamic equation of the system is assumed to be\naffected by a bounded process noise. As to the available measurements, they are\npotentially corrupted by a noise of both dense and impulsive natures. The\nlatter in addition to being arbitrary in its form, need not be strictly\nbounded. In this setting, we construct the estimator as the set-valued map\nwhich associates to the measurements, the minimizing set of some appropriate\nperformance functions. We consider a family of such performance functions each\nof which yielding a specific instance of the general estimator. It is then\nshown that the proposed class of estimators enjoys the property of resilience,\nthat is, it induces an estimation error which, under certain conditions, is\nindependent of the extreme values of the (impulsive) measurement noise. Hence,\nthe estimation error may be bounded while the measurement noise is virtually\nunbounded. Moreover, we provide several error bounds (in different\nconfigurations) whose expressions depend explicitly on the degree of\nobservability of the system being observed and on the considered performance\nfunction. Finally, a few simulation results are provided to illustrate the\nresilience property.\n