Energy compensation-based approach for solving the HJI equation in the nonlinear H∞ synthesis

Han, C.; Guo, J.; Pechev, A.

Energy compensation-based approach for solving the HJI equation in the nonlinear H∞ synthesis

Journal article (2016)

Authors

C. Han University of Surrey

J. Guo Space Systems Egineering

A. Pechev University of Surrey

Research Group

Space Systems Egineering

Attitude control Nonlinear system Taylor series Generalized Riccati equations HJI equation H∞ control

To reference this document use:

http://resolver.tudelft.nl/uuid:87d138a4-a14e-4dfe-ab94-cf48fe09078c

More Info

expand_more

Published Date

01-08-2016

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Research Group

Space Systems Egineering

Abstract

The H∞ framework provides an efficient and systemic method for the design of controllers for both linear and nonlinear systems. In the nonlinear controller synthesis, however, the limitation of this method is usually associated with the existence of a solution to the Hamilton–Jacobi–Isaac (HJI) equation. In this paper, an innovative energy compensation-based approach to the solution of the HJI equations is presented and compared with the existing methods relying on Taylor series expansion. This new approach provides an efficient methodology that ensures the existence of a solution to the HJI equation. Numerical application to spacecraft attitude control is presented to validate the developments.