Sampled-data non-linear H estimation and control

M. Shergei, U. Shaked*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This paper considers the non-linear H estimation problem with sampled measurements and the non-linear H control problem with sampled measurement feedback where the control signal should be of a staircase type. Sufficient conditions are found that guarantee a prescribed level of disturbance attenuation for all bounded energy disturbances. The global solutions of these problems are expressed in terms of solutions to Hamilton-Jacobi equations. A particular feasible selection of the injection gain that is based on a linearization of the estimator in the neighbourhood of the estimated trajectory is proposed. The obtained results are demonstrated by a practical example of vehicle attitude determination.

Original languageEnglish
Pages (from-to)704-719
Number of pages16
JournalInternational Journal of Control
Issue number8
StatePublished - 20 May 2000


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