Solution of the HJI equations for nonlinear H∞ control design by state-dependent Riccati equations approach

doi:10.3969/j.issn.1004-4132.2011.04.015

Journal of Systems Engineering and Electronics ›› 2011, Vol. 22 ›› Issue (4): 654-660.doi: 10.3969/j.issn.1004-4132.2011.04.015

Solution of the HJI equations for nonlinear H∞ control design by state-dependent Riccati equations approach

出版日期:2011-08-24 发布日期:2010-01-03

Solution of the HJI equations for nonlinear H∞ control design by state-dependent Riccati equations approach

Xueyan Zhao* and Feiqi Deng

Institute of Systems Engineering, South China University of Technology, Guangzhou 510640, P. R. China

Online:2011-08-24 Published:2010-01-03

摘要/Abstract

Abstract:

The relationship between the technique by statedependent Riccati equations (SDRE) and Hamilton-Jacobi-Isaacs (HJI) equations for nonlinear H∞ control design is investigated. By establishing the Lyapunov matrix equations for partial derivates of the solution of the SDREs and introducing symmetry measure for some related matrices, a method is proposed for examining whether the SDRE method admits a global optimal control equivalent to that solved by the HJI equation method. Two examples with simulation are given to illustrate the method is effective.

Xueyan Zhao, Feiqi Deng. Solution of the HJI equations for nonlinear H∞ control design by state-dependent Riccati equations approach[J]. Journal of Systems Engineering and Electronics, 2011, 22(4): 654-660.

Solution of the HJI equations for nonlinear H∞ control design by state-dependent Riccati equations approach

Solution of the HJI equations for nonlinear H∞ control design by state-dependent Riccati equations approach

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