Kalman-inspired distributed set-membership observers

García, Ramón Albajes; Orihuela, Luis; Millán, Pablo; Ortega, Manuel G.; Rubio, Francisco

doi:10.1109/ecc.2016.7810668

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2017

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“…From the literature, only a few papers have discussed the distributed setmembership approach (see, e.g. García et al (2016)). In principle, a distributed set-membership estimator is designed by using a sequence of sets for bounding the uncertain system states in different subsystems.…”

Section: Introductionmentioning

confidence: 99%

Distributed Zonotopic Set-Membership State Estimation based on Optimization Methods with Partial Projection

et al. 2017

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A distributed set-membership approach is proposed for the state estimation of largescale systems. The uncertain system states are bounded in a sequence of the distributed setmembership estimators considering unknown-but-bounded system disturbances and measurement noise. In the framework of the set-membership approach, the measurement consistency test is implemented by finding parameterized intersection zonotopes. The size of the intersection zonotope is minimized by solving an optimization problem including a sequence of linear/bilinear matrix inequalities based on the weighted 2-norm criterion of the generator matrix. Meanwhile, for the distributed set-membership estimators, the partial projection method is considered to correct the estimation of the neighbor state. On the other hand, an on-line method is also provided. Finally, the proposed distributed set-membership approach is verified in a case study based on a urban drainage network.

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Section: Introductionmentioning

confidence: 99%