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Discrete-Time PI-Nonlinear {cal H}_{\infty } Estimation

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3 Author(s)
Aliyu, M.D.S. ; Dept. of Mech. Eng., Ecole Polytech. de Montreal, Montreal, QC, Canada ; Boukas, E.-K. ; Chinniah, Y.

In this technical note, exact and approximate solutions of the discrete-time suboptimal proportional-integral-H -estimation problem for affine nonlinear systems using finite-dimensional estimators (filters) are presented. Sufficient conditions for the solvability of the problem are given in terms of discrete-time Hamilton-Jacobi-Isaac's equations. For linear systems, it is shown that, these equations reduce to a system of linear-matrix inequalities. Simulation results are also presented to show the benefit of the new approach.

Published in:

Automatic Control, IEEE Transactions on  (Volume:55 ,  Issue: 3 )

Date of Publication:

March 2010

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