# An approach for solving the Hamilton-Jacobi-Isaacs equation (HJIE) in nonlinear Hinfinity control

@article{Aliyu2003AnAF,
title={An approach for solving the Hamilton-Jacobi-Isaacs equation (HJIE) in nonlinear Hinfinity control},
author={M. D. S. Aliyu},
journal={Automatica},
year={2003},
volume={39},
pages={877-884}
}
In this paper, we present an approach to the solution of the Hamilton–Jacobi–Isaacs equation (HJIE) arising in the H∞ control problem for nonlinear systems. We show that the HJIE can be solved analogously to a scalar quadratic equation with some additional side conditions, and present a computational procedure for determining symmetric solutions. Examples are given for second-order a5ne nonlinear systems to illustrate the procedure, and the method can be extended to higher-order systems. ? 2003… CONTINUE READING

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