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

作　　者：Xueyan Zhao Feiqi Deng 

机构地区：[1]Institute of Systems Engineering, South China University of Technology, Guangzhou 510640, E R. China

出　　处：《Journal of Systems Engineering and Electronics》2011年第4期654-660,共7页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China(60874114)

摘　　要：The relationship between the technique by state- dependent Riccati equations （SDRE） and Hamilton-Jacobi-lsaacs （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 equiva- lent to that solved by the HJI equation method. Two examples with simulation are given to illustrate the method is effective.The relationship between the technique by state- dependent Riccati equations （SDRE） and Hamilton-Jacobi-lsaacs （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 equiva- lent to that solved by the HJI equation method. Two examples with simulation are given to illustrate the method is effective.

关 键 词：nonlinear system robust control Hamilton-Jacobi-Isaacs （HJI） equation state-dependent Riccati equation （SDRE） global stabilization optimal control. 

分 类 号：O175.1[理学—数学] TP13[理学—基础数学]