Publication

Optimal state observation using quadratic boundedness: Application to UAV disturbance estimation

Journal Article (2019)

Journal

International Journal of Applied Mathematics and Computer Science

Pages

99-109

Volume

29

Number

1

Doc link

http://dx.doi.org/10.2478/amcs-2019-0008

File

Download the digital copy of the doc pdf document

Abstract

This paper presents the design of a state observer which guarantees quadratic boundedness of the estimation error. By using quadratic Lyapunov stability analysis, the convergence rate and the ultimate (steady-state) error bounding ellipsoid are identified as the parameters that define the behaviour of the estimation. Then, it is shown that these objectives can be merged in a scalarised objective function with one design parameter, making the design problem convex. In the second part of the article, a UAV model is presented which can be made linear by considering a particular state and frame of reference. The UAV model is extended to incorporate a disturbance model of variable size. The joint model matches the structure required to derive an observer, following the lines of the proposed design approach. An observer for disturbances acting on the UAV is derived and the analysis of the performances with respect to the design parameters is presented. The effectiveness and main characteristics of the proposed approach are shown using simulation results.

Categories

control theory, observability, optimal control.

Author keywords

Disturbance estimation, unmanned aerial vehicles (UAVs), optimal estimation and filtering, system modelling.

Scientific reference

J. Cayero, D. Rotondo, B. Morcego and V. Puig. Optimal state observation using quadratic boundedness: Application to UAV disturbance estimation. International Journal of Applied Mathematics and Computer Science, 29(1): 99-109, 2019.