DocumentCode :
1403247
Title :
Discrete-Time PI-Nonlinear 
Estimation
Author :
Aliyu, M.D.S. ; Boukas, El-Kebir ; Chinniah, Yuvin
Author_Institution :
Dept. of Mech. Eng., Ecole Polytech. de Montreal, Montreal, QC, Canada
Volume :
55
Issue :
3
fYear :
2010
fDate :
3/1/2010 12:00:00 AM
Firstpage :
784
Lastpage :
790
Abstract :
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.
Keywords :
H∞ control; Jacobian matrices; PI control; differential equations; discrete time systems; linear matrix inequalities; linear systems; multidimensional systems; nonlinear systems; suboptimal control; affine nonlinear system; discrete time Hamilton-Jacobi-Isaac equation; discrete time PI nonlinear H∞ estimation; finite dimensional estimator; linear matrix inequality; linear systems; suboptimal PI-H∞ estimation; ${cal L}_{2}$ -gain; Hamilton-Jacobi-Isaacs equations (HJIEs); discrete-time nonlinear ${cal H}_{infty }$
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2010.2040501
Filename :
5406046
Link To Document :
