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

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2 Author(s)
Xueyan Zhao ; Institute of Systems Engineering, South China University of Technology, Guangzhou 510640, P. R. China ; Feiqi Deng

The relationship between the technique by statedependent Riccati equations (SDRE) and Hamilton-Jacobi-Isaacs (HJI) equations for nonlinear Hoo 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.

Published in:

Journal of Systems Engineering and Electronics  (Volume:22 ,  Issue: 4 )