Abstract
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 language | English |
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Pages (from-to) | 704-719 |
Number of pages | 16 |
Journal | International Journal of Control |
Volume | 73 |
Issue number | 8 |
DOIs | |
State | Published - 20 May 2000 |