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

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

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

Xueyan Zhao* and Feiqi Deng   

  1. Institute of Systems Engineering, South China University of Technology, Guangzhou 510640, P. R. China
  • Online:2011-08-24 Published:2010-01-03


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.