Title
Robust observer design under measurement noise with gain adaptation and saturated estimates.
Abstract
We use incremental homogeneity, gain adaptation and incremental observability for proving new results on robust observer design for systems with noisy measurement and bounded trajectories. A state observer is designed by dominating the incrementally homogeneous nonlinearities of the observation error system with its linear approximation, while gain adaptation and incremental observability guarantee an asymptotic upper bound for the estimation error depending on the limsup of the norm of the measurement noise. A characteristic and innovative feature of this observer is the mixed low/high-gain structure in combination with saturated state estimates and dynamically tuned gains and saturation levels. The gain adaptation is implemented as the output of a stable filter using the squared norm of the measured output estimation error and the mismatch between each estimate and its saturated value.
Year
DOI
Venue
2017
10.1016/j.automatica.2017.02.008
Automatica
Keywords
Field
DocType
Measurement noise,Robust observers,Gain adaptation,Saturated estimates
State observer,Linear approximation,Mathematical optimization,Observability,Square (algebra),Homogeneity (statistics),Control theory,Upper and lower bounds,Observer (quantum physics),Mathematics,Bounded function
Journal
Volume
Issue
ISSN
81
1
0005-1098
Citations 
PageRank 
References 
4
0.41
10
Authors
1
Name
Order
Citations
PageRank
Stefano Battilotti113642.34